The report meeting began, but there was a little accident at the scene.
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
Thinking of this, Lu Zhou smiled and shook his head.
After a pause, he raised his voice slightly and continued.
Because Professor Enoch, the protagonist of this lecture, seemed to be absent.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
Lu Zhou sighed in his heart and gently put down the chalk.
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
But it is in this cycle that civilization advances.
The atmosphere was very awkward for a while.
The audience was completely silent.
At this point, Lu Zhou paused for a moment and continued with a smile: "As for why Goldbach's conjecture is not as important as Riemann's conjecture, it's because for most people, prime numbers are used for multiplication! At the same time, these two The propositions are not equivalent, and are not even in the same 'system' at all. This is not my one-sided opinion. Even if you don't understand the difference between RH and GRH, you should know what Vinogradov did when he proved the three prime number theorem. Something."
To be honest, Lu Zhou was also a little stunned by this accident. Originally, he had a face-to-face chat with Professor Enoch, but where was the result
Then think divergently and delete one word each. The Riemann Hypothesis can prove Goldbach's Hypothesis... In fact, this is not the case.
But now, he felt that he had convinced at least some people.
Cursing, he put his phone back into his pocket and glanced at the stage.
The report meeting began, but there was a little accident at the scene.
To be honest, Lu Zhou was also a little stunned by this accident. Originally, he had a face-to-face chat with Professor Enoch, but where was the result
It is indeed the case
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
To be honest, Lu Zhou was also a little stunned by this accident. Originally, he had a face-to-face chat with Professor Enoch, but where was the result
He didn't expect that it would be this guy who came to his rescue.
"As for myself, there is absolutely no greatness. I just stood on the shoulders of countless giants and saw the current scenery. Needless to say, Mr. Chen's contribution to the Great Screening Method was at Berkeley and Professor Tao’s discussion also benefited me a lot, and Helfgott’s paper opened the door to a new world for me. They are all historical heroes, although they may only be remembered by one name. But their Work cannot be summed up in just 3 hours, so I sincerely thank them."
The atmosphere was very awkward for a while.
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
Looking back, Lu Zhou looked at the audience and smiled.
Larte was sweating profusely and came to the stage to explain: "Professor Enoch did not arrive in time due to some personal matters. I am in contact with him..."
Cursing, he put his phone back into his pocket and glanced at the stage.
"Since Professor Enoch has something to do, in order not to waste everyone's time, I'd better come first."
"As for why I suddenly mentioned this, it was mainly to answer Professor Enoch's paper. In the paper, he proposed a quite 'novel' and very interesting point of view. Under the condition that the Riemann Hypothesis is established, it is built around the ζ function. Under the prime number distribution system, Goldbach’s conjecture is established, or is it a true proposition?”
In fact, it is not difficult to study the "history of number theory" and find that in many cases the birth of a theorem is first established by mathematician A based on GRH or RH and draws a beautiful conclusion 1, which attracts everyone's interest.
But, this doesn't change anything.
"And this is the dry stuff you want."
After all, he was the one who invited him to stand here.
But now, he felt that he had convinced at least some people.
"Although notarization is a very serious topic, our time is also very precious." Sitting in the front row of the venue, a man with dark skin and seemingly high status said in a voice with a hint of dissatisfaction, "I Now I even doubt whether Professor Enoch really pays attention to this issue?"
The main reason is that Lu Zhou doesn't want to waste time waiting any longer, so he should end this farce quickly.
Will someone drive the car in reverse and reconnect with something that has been disconnected from GRH
Because Professor Enoch, the protagonist of this lecture, seemed to be absent.
To be honest, black brothers in North America don’t really like their compatriots back home in Africa.
emmm…
This statement is not accurate enough, but it must be vivid enough.
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
The national conditions of the United States are different from those of China. The root of the populist problem is that the aloof White House and Wall Street will never say something that is too difficult for ordinary people in a voice that they can understand.
The moment he put down the chalk.
Then think divergently and delete one word each. The Riemann Hypothesis can prove Goldbach's Hypothesis... In fact, this is not the case.
But out of their own interests, they must also take it seriously.
Yes, abstracted history is full of routines.
To be honest, black brothers in North America don’t really like their compatriots back home in Africa.
When conclusions 1, 2, 3... n came out, everyone took a look and thought, Huh? The tools invented and theories established have been able to prove RH, so more and more people are challenging this proposition, and the Clay Institute will probably replace RH's bounty with GRH.
Forget it, it’s time to practice.
Although Mr. Larter probably didn't like hearing these words.
Sweat broke out on Larte's forehead, but in his heart he cursed Enoch, the unlucky guy, a dozen times.
His goal has been achieved.
Sweat broke out on Larte's forehead, but in his heart he cursed Enoch, the unlucky guy, a dozen times.
Sweat broke out on Larte's forehead, but in his heart he cursed Enoch, the unlucky guy, a dozen times.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
Lu Zhou smiled and continued: "If this is not popular enough, I can make it more popular."
The atmosphere was very awkward for a while.
"Since you are so flaunting political correctness, I would like to ask, when you believed the one-sided words of the Washington Times, did you ignore my voice because of the one-sided words of a white reporter?"
"Even if it's just an understanding of the history of number theory."
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
But, this doesn't change anything.
For him, lectures are something he is already familiar with.
"Some conceptual things cannot be circumvented by just one sentence of system. The whole mathematics is shrouded under the 'system' of Peano's axioms, but not all problems are as obvious as Peano's axioms. Especially when If you really understand it, you will find that it is obviously '1+1', but '1+1' and '1+1=2' are actually completely different things. They are obviously 'prime number' problems, and they even involve to 'distribution', but the two are completely unrelated."
Larte was sweating profusely and came to the stage to explain: "Professor Enoch did not arrive in time due to some personal matters. I am in contact with him..."
Will someone drive the car in reverse and reconnect with something that has been disconnected from GRH
He swore that this was the last time he would deal with native Nigerians. This group of people did not talk about the spirit of contract at all.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
"The prime numbers in the Riemann zeta function are used for multiplication, while the prime numbers in Goldbach's conjecture are used for addition!"
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
If the formula he writes on the whiteboard exceeds three lines today, tomorrow the New York Times and other more influential media will definitely have a different style of painting.
At this moment, an unexpected voice came from the side.
And these are all results that are completely divorced from GRH, let alone RH.
At this moment, an unexpected voice came from the side.
like…
Lu Zhou was not wrong.
Thinking of this, Lu Zhou smiled and shook his head.
As for the method to resolve this problem, it is actually very simple.
"Since Professor Enoch has something to do, in order not to waste everyone's time, I'd better come first."
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
And these are all results that are completely divorced from GRH, let alone RH.
Everyone sitting in the audience was stunned and looked at each other speechlessly.
"That is, for a conjecture that has a high probability of being true, the common practice in the mathematical community is to use it first. How to use it? At the beginning of the paper, first assume that the Riemann Hypothesis is true, and then start..."
"As for why I suddenly mentioned this, it was mainly to answer Professor Enoch's paper. In the paper, he proposed a quite 'novel' and very interesting point of view. Under the condition that the Riemann Hypothesis is established, it is built around the ζ function. Under the prime number distribution system, Goldbach’s conjecture is established, or is it a true proposition?”
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
The national conditions of the United States are different from those of China. The root of the populist problem is that the aloof White House and Wall Street will never say something that is too difficult for ordinary people in a voice that they can understand.
The main reason is that Lu Zhou doesn't want to waste time waiting any longer, so he should end this farce quickly.
But this is normal, and Lu Zhou had expected this.
After a pause, Lu Zhou softened his tone and continued slowly.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
The atmosphere was very awkward for a while.
Larte was stunned.
Just speak human words.
Larte was stunned.
Larte was stunned.
"Since Professor Enoch has something to do, in order not to waste everyone's time, I'd better come first."
"As for why I suddenly mentioned this, it was mainly to answer Professor Enoch's paper. In the paper, he proposed a quite 'novel' and very interesting point of view. Under the condition that the Riemann Hypothesis is established, it is built around the ζ function. Under the prime number distribution system, Goldbach’s conjecture is established, or is it a true proposition?”
After a pause, he raised his voice slightly and continued.
There was already a round of applause from the audience...
He didn't expect that it would be this guy who came to his rescue.
After all, he was the one who invited him to stand here.
Larte had a gloomy expression and kept calling, but there was always a busy signal on the other end of the phone.
After a pause, he raised his voice slightly and continued.
But this is normal, and Lu Zhou had expected this.
At this point, Lu Zhou paused for a moment, smiled and continued.
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
Looking at the audience in the audience, Lu Zhou continued.
but…
The audience was completely silent.
When conclusions 1, 2, 3... n came out, everyone took a look and thought, Huh? The tools invented and theories established have been able to prove RH, so more and more people are challenging this proposition, and the Clay Institute will probably replace RH's bounty with GRH.
"Since you are so flaunting political correctness, I would like to ask, when you believed the one-sided words of the Washington Times, did you ignore my voice because of the one-sided words of a white reporter?"
He swore that this was the last time he would deal with native Nigerians. This group of people did not talk about the spirit of contract at all.
But out of their own interests, they must also take it seriously.
Just speak human words.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
Lu Zhou smiled and continued: "If this is not popular enough, I can make it more popular."
Is this guy really planning to save himself
"But pay attention! I am talking about the Generalized Riemann Hypothesis, also commonly known as GRH, and the Riemann Hypothesis abbreviated as RH, which are completely different things."
His goal has been achieved.
There was already a round of applause from the audience...
When he just thought this, it was already too late to stop him.
The people in the audience looked at each other, obviously not understanding the meaning.
Looking at the audience in the audience, Lu Zhou continued.
Yes, abstracted history is full of routines.
Is this guy really planning to save himself
But it is in this cycle that civilization advances.
"But pay attention! I am talking about the Generalized Riemann Hypothesis, also commonly known as GRH, and the Riemann Hypothesis abbreviated as RH, which are completely different things."
"Some conceptual things cannot be circumvented by just one sentence of system. The whole mathematics is shrouded under the 'system' of Peano's axioms, but not all problems are as obvious as Peano's axioms. Especially when If you really understand it, you will find that it is obviously '1+1', but '1+1' and '1+1=2' are actually completely different things. They are obviously 'prime number' problems, and they even involve to 'distribution', but the two are completely unrelated."
The audience in the audience smiled knowingly.
Because Lu Zhou had already stepped onto the podium, and the people in the audience obviously agreed with this proposal.
The people in the audience looked at each other, obviously not understanding the meaning.
His goal has been achieved.
Because Lu Zhou had already stepped onto the podium, and the people in the audience obviously agreed with this proposal.
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
Everyone sitting in the audience was stunned and looked at each other speechlessly.
But, this doesn't change anything.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
The audience in the audience smiled knowingly.
In fact, it is not difficult to study the "history of number theory" and find that in many cases the birth of a theorem is first established by mathematician A based on GRH or RH and draws a beautiful conclusion 1, which attracts everyone's interest.
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
"I probably won't use any profound mathematical symbols today, nor will I talk about anything too difficult to understand... Of course, there may be one or two, so don't worry. After all, some things can be described in layman's terms. Yes, but some are currently beyond my ability.”
Is this guy really planning to save himself
like…
Standing on the podium, Lu Zhou didn't think too much about other issues.
"What's this nigga doing?"
"Although notarization is a very serious topic, our time is also very precious." Sitting in the front row of the venue, a man with dark skin and seemingly high status said in a voice with a hint of dissatisfaction, "I Now I even doubt whether Professor Enoch really pays attention to this issue?"
After a pause, he raised his voice slightly and continued.
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
The national conditions of the United States are different from those of China. The root of the populist problem is that the aloof White House and Wall Street will never say something that is too difficult for ordinary people in a voice that they can understand.
"But pay attention! I am talking about the Generalized Riemann Hypothesis, also commonly known as GRH, and the Riemann Hypothesis abbreviated as RH, which are completely different things."
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
For him, lectures are something he is already familiar with.
Sometimes Lu Zhou discovered that he was not ignorant of politics. He was able to draw out the things that experimentalism and scientific thinking taught him, not to mention the human heart, and even the judgment logic that was not explained by the system.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
Forget it, it’s time to practice.
For him, lectures are something he is already familiar with.
Because Professor Enoch, the protagonist of this lecture, seemed to be absent.
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
"But pay attention! I am talking about the Generalized Riemann Hypothesis, also commonly known as GRH, and the Riemann Hypothesis abbreviated as RH, which are completely different things."
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
The report meeting began, but there was a little accident at the scene.
Thinking of this, Lu Zhou smiled and shook his head.
Yes, abstracted history is full of routines.
The people in the audience looked at each other, obviously not understanding the meaning.
But now, he felt that he had convinced at least some people.
There was already a round of applause from the audience...
Forget it, it’s time to practice.
"The reason why his point of view is said to be 'novel' is because as of 2016, this situation has not been considered for a century. In fact, Hardy and Littlewood proved it in the 1920s. Under the condition that the Riemann Hypothesis is true, the weak Goldbach Hypothesis is true.”
After a pause, he raised his voice slightly and continued.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
In response to the glances from the audience, he cleared his throat and spoke slowly.
He is not at Hawking's level and cannot explain complex propositions in layman's terms.
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
"The reason why his point of view is said to be 'novel' is because as of 2016, this situation has not been considered for a century. In fact, Hardy and Littlewood proved it in the 1920s. Under the condition that the Riemann Hypothesis is true, the weak Goldbach Hypothesis is true.”
"The reason why his point of view is said to be 'novel' is because as of 2016, this situation has not been considered for a century. In fact, Hardy and Littlewood proved it in the 1920s. Under the condition that the Riemann Hypothesis is true, the weak Goldbach Hypothesis is true.”
"I see distrust in your eyes."
Lu Zhou sighed in his heart and gently put down the chalk.
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
"To talk about the difference between GRH and RH, it is indeed easy to confuse just looking at Wikipedia, and this does stump a lot of civil sciences, so we still have to go back to textbooks or papers. In layman's terms, GRH is the object of discussion, from The Riemann zeta function became the more general Dirichlet L function."
"Since you are so flaunting political correctness, I would like to ask, when you believed the one-sided words of the Washington Times, did you ignore my voice because of the one-sided words of a white reporter?"
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
The atmosphere was very awkward for a while.
Then mathematician B came out and tried to prove conclusion 1, which can be established without the help of GRH. If it cannot be proved, mathematician C will consider proving a weaker conclusion than conclusion 1, which is established independently without assuming that RH is established.
At this point, Lu Zhou paused for a moment, smiled and continued.
Although no one in the audience spoke, many people were looking at their watches or looking left and right...
Is this guy really planning to save himself
It is indeed the case
The national conditions of the United States are different from those of China. The root of the populist problem is that the aloof White House and Wall Street will never say something that is too difficult for ordinary people in a voice that they can understand.
But this is normal, and Lu Zhou had expected this.
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
Although Mr. Larter probably didn't like hearing these words.
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
Having said this, Lu Zhou smiled.
Although no one in the audience spoke, many people were looking at their watches or looking left and right...
The moment he put down the chalk.
After a pause, he raised his voice slightly and continued.
But, this doesn't change anything.
"Although it only took two months to complete this paper, the specific work started a long time ago."
"Before I start my speech, please remember my nationality. I am a Chinese scholar."
It is indeed the case
And now, he's here.
"Because standing in front of you is an elite with the Princeton label, and you are the least trusting of the elite, whether it is their moral character or academic qualifications. What you are more eager to hear are the voices that have been ignored. So, I dare Bet, in a few months, most of you will probably vote for a fat guy named Trump, because he is the only smart person who tries to stand in your shoes and make your voice heard... Of course Well, that’s not what I want to say today.”
Larte was stunned.
But, this doesn't change anything.
"I probably won't use any profound mathematical symbols today, nor will I talk about anything too difficult to understand... Of course, there may be one or two, so don't worry. After all, some things can be described in layman's terms. Yes, but some are currently beyond my ability.”
Yes, abstracted history is full of routines.
"Before I start my speech, please remember my nationality. I am a Chinese scholar."
[If the Riemann hypothesis is not used, then π(x)=Li(x)+O(xe^{-1/15√lnx})]
Then think divergently and delete one word each. The Riemann Hypothesis can prove Goldbach's Hypothesis... In fact, this is not the case.
"It is worth pondering that the 1920s was the closest time to GRH for Goldbach's conjecture, but it was also the only time. Because in less than 20 years, or to be precise, in 1937, Vinogradov and Esther Mann improved the circle method and proved that the weak Goldbach's conjecture is true under the condition of 'sufficiently large' without resorting to the generalized Riemann conjecture."
When he just thought this, it was already too late to stop him.
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
"Since you are so flaunting political correctness, I would like to ask, when you believed the one-sided words of the Washington Times, did you ignore my voice because of the one-sided words of a white reporter?"
"Since you are so flaunting political correctness, I would like to ask, when you believed the one-sided words of the Washington Times, did you ignore my voice because of the one-sided words of a white reporter?"
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
"To talk about the difference between GRH and RH, it is indeed easy to confuse just looking at Wikipedia, and this does stump a lot of civil sciences, so we still have to go back to textbooks or papers. In layman's terms, GRH is the object of discussion, from The Riemann zeta function became the more general Dirichlet L function."
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
Although Mr. Larter probably didn't like hearing these words.
He is not at Hawking's level and cannot explain complex propositions in layman's terms.
"Because standing in front of you is an elite with the Princeton label, and you are the least trusting of the elite, whether it is their moral character or academic qualifications. What you are more eager to hear are the voices that have been ignored. So, I dare Bet, in a few months, most of you will probably vote for a fat guy named Trump, because he is the only smart person who tries to stand in your shoes and make your voice heard... Of course Well, that’s not what I want to say today.”
Lu Zhou's voice was not loud, but it was impactful.
The people in the audience looked at each other, obviously not understanding the meaning.
In just one year, Helfgott completely solved the "weak Goldbach conjecture" and reduced this sufficiently large number into a number that could be calculated.
"But pay attention! I am talking about the Generalized Riemann Hypothesis, also commonly known as GRH, and the Riemann Hypothesis abbreviated as RH, which are completely different things."
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
As for the method to resolve this problem, it is actually very simple.
Just speak human words.
Everyone sitting in the audience was stunned and looked at each other speechlessly.
"I probably won't use any profound mathematical symbols today, nor will I talk about anything too difficult to understand... Of course, there may be one or two, so don't worry. After all, some things can be described in layman's terms. Yes, but some are currently beyond my ability.”
At this point, Lu Zhou paused for a moment, smiled and continued.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
like…
It is indeed the case
In just one year, Helfgott completely solved the "weak Goldbach conjecture" and reduced this sufficiently large number into a number that could be calculated.
It is indeed the case
His goal has been achieved.
"Since Professor Enoch has something to do, in order not to waste everyone's time, I'd better come first."
Because Professor Enoch, the protagonist of this lecture, seemed to be absent.
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
Lu Zhou smiled and continued: "If this is not popular enough, I can make it more popular."
The people in the audience looked at each other, obviously not understanding the meaning.
Lu Zhou smiled and continued: "If this is not popular enough, I can make it more popular."
"The prime numbers in the Riemann zeta function are used for multiplication, while the prime numbers in Goldbach's conjecture are used for addition!"
For him, lectures are something he is already familiar with.
A subtle smile appeared at the corner of Lu Zhou's mouth.
Then mathematician B came out and tried to prove conclusion 1, which can be established without the help of GRH. If it cannot be proved, mathematician C will consider proving a weaker conclusion than conclusion 1, which is established independently without assuming that RH is established.
"I see distrust in your eyes."
Many people who did not intend to listen to this report meeting were also brought back to the scene.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
Forget it, it’s time to practice.
The report meeting began, but there was a little accident at the scene.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
emmm…
A subtle smile appeared at the corner of Lu Zhou's mouth.
Looking at the audience in the audience, Lu Zhou continued.
After a pause, he raised his voice slightly and continued.
But this is normal, and Lu Zhou had expected this.
Just speak human words.
To be honest, black brothers in North America don’t really like their compatriots back home in Africa.
His goal has been achieved.
But this is normal, and Lu Zhou had expected this.
"It is worth pondering that the 1920s was the closest time to GRH for Goldbach's conjecture, but it was also the only time. Because in less than 20 years, or to be precise, in 1937, Vinogradov and Esther Mann improved the circle method and proved that the weak Goldbach's conjecture is true under the condition of 'sufficiently large' without resorting to the generalized Riemann conjecture."
Maybe after he reaches level ten, the system will have no secrets in front of him.
"To talk about the difference between GRH and RH, it is indeed easy to confuse just looking at Wikipedia, and this does stump a lot of civil sciences, so we still have to go back to textbooks or papers. In layman's terms, GRH is the object of discussion, from The Riemann zeta function became the more general Dirichlet L function."
However, he can still talk about some common sense things.
"I see distrust in your eyes."
Larte was sweating profusely and came to the stage to explain: "Professor Enoch did not arrive in time due to some personal matters. I am in contact with him..."
At this moment, an unexpected voice came from the side.
Larte had a gloomy expression and kept calling, but there was always a busy signal on the other end of the phone.
emmm…
In just one year, Helfgott completely solved the "weak Goldbach conjecture" and reduced this sufficiently large number into a number that could be calculated.
However, he can still talk about some common sense things.
Looking back, Lu Zhou looked at the audience and smiled.
"What's this nigga doing?"
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
This statement is not accurate enough, but it must be vivid enough.
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
Cursing, he put his phone back into his pocket and glanced at the stage.
It is indeed the case
For him, lectures are something he is already familiar with.
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
"Before I start my speech, please remember my nationality. I am a Chinese scholar."
But it is in this cycle that civilization advances.
The report meeting began, but there was a little accident at the scene.
The moment he put down the chalk.
As for the method to resolve this problem, it is actually very simple.
Although he wanted ten thousand times to go up and drive this guy off the stage, he was unable to do so.
But out of their own interests, they must also take it seriously.
This statement is not accurate enough, but it must be vivid enough.
Lu Zhou was not wrong.
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
After all, he was the one who invited him to stand here.
"It is worth pondering that the 1920s was the closest time to GRH for Goldbach's conjecture, but it was also the only time. Because in less than 20 years, or to be precise, in 1937, Vinogradov and Esther Mann improved the circle method and proved that the weak Goldbach's conjecture is true under the condition of 'sufficiently large' without resorting to the generalized Riemann conjecture."
He swore that this was the last time he would deal with native Nigerians. This group of people did not talk about the spirit of contract at all.
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
The audience was completely silent.
After a pause, he raised his voice slightly and continued.
And now, he's here.
In response to the glances from the audience, he cleared his throat and spoke slowly.
Maybe after he reaches level ten, the system will have no secrets in front of him.
For him, lectures are something he is already familiar with.
Looking at the audience in the audience, Lu Zhou continued.
like…
Everyone sitting in the audience was stunned and looked at each other speechlessly.
"I probably won't use any profound mathematical symbols today, nor will I talk about anything too difficult to understand... Of course, there may be one or two, so don't worry. After all, some things can be described in layman's terms. Yes, but some are currently beyond my ability.”
In this way, it is indeed much easier to understand.
Thinking of this, Lu Zhou smiled and shook his head.
In just one year, Helfgott completely solved the "weak Goldbach conjecture" and reduced this sufficiently large number into a number that could be calculated.
Thinking of this, Lu Zhou smiled and shook his head.
But now, he felt that he had convinced at least some people.
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
The audience was completely silent.
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
He is not at Hawking's level and cannot explain complex propositions in layman's terms.
Sweat broke out on Larte's forehead, but in his heart he cursed Enoch, the unlucky guy, a dozen times.
Standing on the podium, Lu Zhou didn't think too much about other issues.
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
Although it is interesting to repeat the work of predecessors, is there any point in doing so? If a student does this, the professor will probably look at him approvingly, which is worthy of encouragement. But if a professor or scholar does this, he will probably be looked at with caring eyes by his peers.
To be honest, black brothers in North America don’t really like their compatriots back home in Africa.
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
Sweat broke out on Larte's forehead, but in his heart he cursed Enoch, the unlucky guy, a dozen times.
However, he can still talk about some common sense things.
After all, he was the one who invited him to stand here.
Then in 2012, Tao Zhexuan, who "knows a little bit of everything", proved that "all odd numbers can be expressed as the sum of up to five prime numbers."
"Although it only took two months to complete this paper, the specific work started a long time ago."
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
Is this guy really planning to save himself
Cursing, he put his phone back into his pocket and glanced at the stage.
There was already a round of applause from the audience...
After making sure that every pair of eyes in the audience was looking at him, Lu Zhou turned around and wrote two lines of calculations on the blackboard behind him.
Looking back, Lu Zhou looked at the audience and smiled.
Larte was stunned.
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
"The reason why his point of view is said to be 'novel' is because as of 2016, this situation has not been considered for a century. In fact, Hardy and Littlewood proved it in the 1920s. Under the condition that the Riemann Hypothesis is true, the weak Goldbach Hypothesis is true.”
After making sure that every pair of eyes in the audience was looking at him, Lu Zhou turned around and wrote two lines of calculations on the blackboard behind him.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
"If I were asked to write similar examples on the blackboard, I could write more than ten, because there are too many."
When conclusions 1, 2, 3... n came out, everyone took a look and thought, Huh? The tools invented and theories established have been able to prove RH, so more and more people are challenging this proposition, and the Clay Institute will probably replace RH's bounty with GRH.
[If the Riemann hypothesis is not used, then π(x)=Li(x)+O(xe^{-1/15√lnx})]
"As for writing down these two formulas, I just want to popularize some common sense."
[If the Riemann hypothesis is not used, then π(x)=Li(x)+O(xe^{-1/15√lnx})]
Then think divergently and delete one word each. The Riemann Hypothesis can prove Goldbach's Hypothesis... In fact, this is not the case.
For him, lectures are something he is already familiar with.
Sweat broke out on Larte's forehead, but in his heart he cursed Enoch, the unlucky guy, a dozen times.
"The prime numbers in the Riemann zeta function are used for multiplication, while the prime numbers in Goldbach's conjecture are used for addition!"
He swore that this was the last time he would deal with native Nigerians. This group of people did not talk about the spirit of contract at all.
To be honest, black brothers in North America don’t really like their compatriots back home in Africa.
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
He believed he would see that day.
After making sure that every pair of eyes in the audience was looking at him, Lu Zhou turned around and wrote two lines of calculations on the blackboard behind him.
Because Professor Enoch, the protagonist of this lecture, seemed to be absent.
"Since Professor Enoch has something to do, in order not to waste everyone's time, I'd better come first."
Looking back, Lu Zhou looked at the audience and smiled.
The people in the audience looked at each other, obviously not understanding the meaning.
"That is, for a conjecture that has a high probability of being true, the common practice in the mathematical community is to use it first. How to use it? At the beginning of the paper, first assume that the Riemann Hypothesis is true, and then start..."
His goal has been achieved.
But, this doesn't change anything.
Forget it, it’s time to practice.
[If the Riemann hypothesis is not used, then π(x)=Li(x)+O(xe^{-1/15√lnx})]
Will someone drive the car in reverse and reconnect with something that has been disconnected from GRH
"Mathematics is a very magical thing, and the Riemann Hypothesis is also a great thing. Although you may not know what I wrote, I can tell you clearly that the first line of formula is the basis of number theory, which is the so-called prime number theorem. .The second line is a more accurate prime number distribution formula obtained by H. von Koch in 1901 based on the condition that the Riemann Hypothesis is established. Although this formula may not necessarily be written in textbooks, it has been Used for a century.”
Yes, abstracted history is full of routines.
Lu Zhou sighed in his heart and gently put down the chalk.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
And now, he's here.
"The prime numbers in the Riemann zeta function are used for multiplication, while the prime numbers in Goldbach's conjecture are used for addition!"
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
Lu Zhou was not wrong.
"If I were asked to write similar examples on the blackboard, I could write more than ten, because there are too many."
"Although it only took two months to complete this paper, the specific work started a long time ago."
Many people who did not intend to listen to this report meeting were also brought back to the scene.
Although it is interesting to repeat the work of predecessors, is there any point in doing so? If a student does this, the professor will probably look at him approvingly, which is worthy of encouragement. But if a professor or scholar does this, he will probably be looked at with caring eyes by his peers.
"As for writing down these two formulas, I just want to popularize some common sense."
He is not at Hawking's level and cannot explain complex propositions in layman's terms.
But this is normal, and Lu Zhou had expected this.
Standing on the podium, Lu Zhou didn't think too much about other issues.
After all, he was the one who invited him to stand here.
But out of their own interests, they must also take it seriously.
"To talk about the difference between GRH and RH, it is indeed easy to confuse just looking at Wikipedia, and this does stump a lot of civil sciences, so we still have to go back to textbooks or papers. In layman's terms, GRH is the object of discussion, from The Riemann zeta function became the more general Dirichlet L function."
"That is, for a conjecture that has a high probability of being true, the common practice in the mathematical community is to use it first. How to use it? At the beginning of the paper, first assume that the Riemann Hypothesis is true, and then start..."
Just speak human words.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
A subtle smile appeared at the corner of Lu Zhou's mouth.
But now, he felt that he had convinced at least some people.
There was already a round of applause from the audience...
[If the Riemann hypothesis is not used, then π(x)=Li(x)+O(xe^{-1/15√lnx})]
"Since you are so flaunting political correctness, I would like to ask, when you believed the one-sided words of the Washington Times, did you ignore my voice because of the one-sided words of a white reporter?"
"As for why I suddenly mentioned this, it was mainly to answer Professor Enoch's paper. In the paper, he proposed a quite 'novel' and very interesting point of view. Under the condition that the Riemann Hypothesis is established, it is built around the ζ function. Under the prime number distribution system, Goldbach’s conjecture is established, or is it a true proposition?”
"If I were asked to write similar examples on the blackboard, I could write more than ten, because there are too many."
but…
Sometimes Lu Zhou discovered that he was not ignorant of politics. He was able to draw out the things that experimentalism and scientific thinking taught him, not to mention the human heart, and even the judgment logic that was not explained by the system.
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
At this point, Lu Zhou paused for a moment, smiled and continued.
Standing on the podium, Lu Zhou didn't think too much about other issues.
Standing on the podium, Lu Zhou didn't think too much about other issues.
"What's this nigga doing?"
Many people who did not intend to listen to this report meeting were also brought back to the scene.
At this point, Lu Zhou paused for a moment, smiled and continued.
"As for writing down these two formulas, I just want to popularize some common sense."
In response to the glances from the audience, he cleared his throat and spoke slowly.
"The reason why his point of view is said to be 'novel' is because as of 2016, this situation has not been considered for a century. In fact, Hardy and Littlewood proved it in the 1920s. Under the condition that the Riemann Hypothesis is true, the weak Goldbach Hypothesis is true.”
Lu Zhou was not wrong.
emmm…
At this point, Lu Zhou paused for a moment, smiled and continued.
"Mathematics is a very magical thing, and the Riemann Hypothesis is also a great thing. Although you may not know what I wrote, I can tell you clearly that the first line of formula is the basis of number theory, which is the so-called prime number theorem. .The second line is a more accurate prime number distribution formula obtained by H. von Koch in 1901 based on the condition that the Riemann Hypothesis is established. Although this formula may not necessarily be written in textbooks, it has been Used for a century.”
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
At this point, Lu Zhou paused for a moment, smiled and continued.
"That is, for a conjecture that has a high probability of being true, the common practice in the mathematical community is to use it first. How to use it? At the beginning of the paper, first assume that the Riemann Hypothesis is true, and then start..."
"If I were asked to write similar examples on the blackboard, I could write more than ten, because there are too many."
"But pay attention! I am talking about the Generalized Riemann Hypothesis, also commonly known as GRH, and the Riemann Hypothesis abbreviated as RH, which are completely different things."
Cursing, he put his phone back into his pocket and glanced at the stage.
Because Professor Enoch, the protagonist of this lecture, seemed to be absent.
"As for writing down these two formulas, I just want to popularize some common sense."
He didn't expect that it would be this guy who came to his rescue.
But it is in this cycle that civilization advances.
Lu Zhou's voice was not loud, but it was impactful.
Looking back, Lu Zhou looked at the audience and smiled.
"And this is the dry stuff you want."
The people in the audience looked at each other, obviously not understanding the meaning.
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
"As for writing down these two formulas, I just want to popularize some common sense."
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
Although no one in the audience spoke, many people were looking at their watches or looking left and right...
If the formula he writes on the whiteboard exceeds three lines today, tomorrow the New York Times and other more influential media will definitely have a different style of painting.
"Mathematics is a very magical thing, and the Riemann Hypothesis is also a great thing. Although you may not know what I wrote, I can tell you clearly that the first line of formula is the basis of number theory, which is the so-called prime number theorem. .The second line is a more accurate prime number distribution formula obtained by H. von Koch in 1901 based on the condition that the Riemann Hypothesis is established. Although this formula may not necessarily be written in textbooks, it has been Used for a century.”
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
"Mathematics is a very magical thing, and the Riemann Hypothesis is also a great thing. Although you may not know what I wrote, I can tell you clearly that the first line of formula is the basis of number theory, which is the so-called prime number theorem. .The second line is a more accurate prime number distribution formula obtained by H. von Koch in 1901 based on the condition that the Riemann Hypothesis is established. Although this formula may not necessarily be written in textbooks, it has been Used for a century.”
He swore that this was the last time he would deal with native Nigerians. This group of people did not talk about the spirit of contract at all.
At this point, Lu Zhou paused for a moment and continued with a smile: "As for why Goldbach's conjecture is not as important as Riemann's conjecture, it's because for most people, prime numbers are used for multiplication! At the same time, these two The propositions are not equivalent, and are not even in the same 'system' at all. This is not my one-sided opinion. Even if you don't understand the difference between RH and GRH, you should know what Vinogradov did when he proved the three prime number theorem. Something."
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
Is this guy really planning to save himself
Then think divergently and delete one word each. The Riemann Hypothesis can prove Goldbach's Hypothesis... In fact, this is not the case.
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
"Even if it's just an understanding of the history of number theory."
"The reason why his point of view is said to be 'novel' is because as of 2016, this situation has not been considered for a century. In fact, Hardy and Littlewood proved it in the 1920s. Under the condition that the Riemann Hypothesis is true, the weak Goldbach Hypothesis is true.”
Then in 2012, Tao Zhexuan, who "knows a little bit of everything", proved that "all odd numbers can be expressed as the sum of up to five prime numbers."
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
The atmosphere was very awkward for a while.
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
In just one year, Helfgott completely solved the "weak Goldbach conjecture" and reduced this sufficiently large number into a number that could be calculated.
Maybe after he reaches level ten, the system will have no secrets in front of him.
A subtle smile appeared at the corner of Lu Zhou's mouth.
Having said this, Lu Zhou smiled.
At this point, Lu Zhou paused for a moment, smiled and continued.
Forget it, it’s time to practice.
"The prime numbers in the Riemann zeta function are used for multiplication, while the prime numbers in Goldbach's conjecture are used for addition!"
After all, he was the one who invited him to stand here.
But, this doesn't change anything.
"To talk about the difference between GRH and RH, it is indeed easy to confuse just looking at Wikipedia, and this does stump a lot of civil sciences, so we still have to go back to textbooks or papers. In layman's terms, GRH is the object of discussion, from The Riemann zeta function became the more general Dirichlet L function."
"To talk about the difference between GRH and RH, it is indeed easy to confuse just looking at Wikipedia, and this does stump a lot of civil sciences, so we still have to go back to textbooks or papers. In layman's terms, GRH is the object of discussion, from The Riemann zeta function became the more general Dirichlet L function."
Although Mr. Larter probably didn't like hearing these words.
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
It is indeed the case
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
But, this doesn't change anything.
Everyone sitting in the audience was stunned and looked at each other speechlessly.
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
When he just thought this, it was already too late to stop him.
"If I were asked to write similar examples on the blackboard, I could write more than ten, because there are too many."
As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light. Anyone who knows a little bit knows how funny this is.
Looking at the audience in the audience, Lu Zhou continued.
And now, he's here.
"And this is the dry stuff you want."
Just speak human words.
To be honest, Lu Zhou was also a little stunned by this accident. Originally, he had a face-to-face chat with Professor Enoch, but where was the result
"Even if it's just an understanding of the history of number theory."
Will someone drive the car in reverse and reconnect with something that has been disconnected from GRH
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
Larte was stunned.
Lu Zhou sighed in his heart and gently put down the chalk.
The people in the audience looked at each other, obviously not understanding the meaning.
emmm…
But now, he felt that he had convinced at least some people.
After a pause, Lu Zhou softened his tone and continued slowly.
The audience in the audience smiled knowingly.
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
"It is worth pondering that the 1920s was the closest time to GRH for Goldbach's conjecture, but it was also the only time. Because in less than 20 years, or to be precise, in 1937, Vinogradov and Esther Mann improved the circle method and proved that the weak Goldbach's conjecture is true under the condition of 'sufficiently large' without resorting to the generalized Riemann conjecture."
"If I were asked to write similar examples on the blackboard, I could write more than ten, because there are too many."
like…
But he didn't expect that his first class at Princeton was not in the mathematics department building, but in the Princeton Hotel next door.
The audience was completely silent.
Then in 2012, Tao Zhexuan, who "knows a little bit of everything", proved that "all odd numbers can be expressed as the sum of up to five prime numbers."
As for the method to resolve this problem, it is actually very simple.
Having said this, Lu Zhou smiled.
In fact, it is not difficult to study the "history of number theory" and find that in many cases the birth of a theorem is first established by mathematician A based on GRH or RH and draws a beautiful conclusion 1, which attracts everyone's interest.
Larte was sweating profusely and came to the stage to explain: "Professor Enoch did not arrive in time due to some personal matters. I am in contact with him..."
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
Standing on the podium, Lu Zhou didn't think too much about other issues.
In just one year, Helfgott completely solved the "weak Goldbach conjecture" and reduced this sufficiently large number into a number that could be calculated.
Looking at the audience in the audience, Lu Zhou continued.
"To talk about the difference between GRH and RH, it is indeed easy to confuse just looking at Wikipedia, and this does stump a lot of civil sciences, so we still have to go back to textbooks or papers. In layman's terms, GRH is the object of discussion, from The Riemann zeta function became the more general Dirichlet L function."
"Although it only took two months to complete this paper, the specific work started a long time ago."
And these are all results that are completely divorced from GRH, let alone RH.
But it is in this cycle that civilization advances.
"It is worth pondering that the 1920s was the closest time to GRH for Goldbach's conjecture, but it was also the only time. Because in less than 20 years, or to be precise, in 1937, Vinogradov and Esther Mann improved the circle method and proved that the weak Goldbach's conjecture is true under the condition of 'sufficiently large' without resorting to the generalized Riemann conjecture."
A subtle smile appeared at the corner of Lu Zhou's mouth.
In fact, it is not difficult to study the "history of number theory" and find that in many cases the birth of a theorem is first established by mathematician A based on GRH or RH and draws a beautiful conclusion 1, which attracts everyone's interest.
But out of their own interests, they must also take it seriously.
Cursing, he put his phone back into his pocket and glanced at the stage.
"Although it only took two months to complete this paper, the specific work started a long time ago."
He believed he would see that day.
Larte had a gloomy expression and kept calling, but there was always a busy signal on the other end of the phone.
This statement is not accurate enough, but it must be vivid enough.
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
Then mathematician B came out and tried to prove conclusion 1, which can be established without the help of GRH. If it cannot be proved, mathematician C will consider proving a weaker conclusion than conclusion 1, which is established independently without assuming that RH is established.
"It is worth pondering that the 1920s was the closest time to GRH for Goldbach's conjecture, but it was also the only time. Because in less than 20 years, or to be precise, in 1937, Vinogradov and Esther Mann improved the circle method and proved that the weak Goldbach's conjecture is true under the condition of 'sufficiently large' without resorting to the generalized Riemann conjecture."
Many people who did not intend to listen to this report meeting were also brought back to the scene.
In fact, it is not difficult to study the "history of number theory" and find that in many cases the birth of a theorem is first established by mathematician A based on GRH or RH and draws a beautiful conclusion 1, which attracts everyone's interest.
But out of their own interests, they must also take it seriously.
Although he wanted ten thousand times to go up and drive this guy off the stage, he was unable to do so.
When conclusions 1, 2, 3... n came out, everyone took a look and thought, Huh? The tools invented and theories established have been able to prove RH, so more and more people are challenging this proposition, and the Clay Institute will probably replace RH's bounty with GRH.
Looking at the audience in the audience, Lu Zhou continued.
But out of their own interests, they must also take it seriously.
If the formula he writes on the whiteboard exceeds three lines today, tomorrow the New York Times and other more influential media will definitely have a different style of painting.
When he just thought this, it was already too late to stop him.
Yes, abstracted history is full of routines.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
Lu Zhou was not wrong.
Because Lu Zhou had already stepped onto the podium, and the people in the audience obviously agreed with this proposal.
But it is in this cycle that civilization advances.
Having said this, Lu Zhou smiled.
Lu Zhou's voice was not loud, but it was impactful.
Forget it, it’s time to practice.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
This statement is not accurate enough, but it must be vivid enough.
If the formula he writes on the whiteboard exceeds three lines today, tomorrow the New York Times and other more influential media will definitely have a different style of painting.
If the formula he writes on the whiteboard exceeds three lines today, tomorrow the New York Times and other more influential media will definitely have a different style of painting.
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
Will someone drive the car in reverse and reconnect with something that has been disconnected from GRH
In response to the glances from the audience, he cleared his throat and spoke slowly.
Everyone sitting in the audience was stunned and looked at each other speechlessly.
"Although notarization is a very serious topic, our time is also very precious." Sitting in the front row of the venue, a man with dark skin and seemingly high status said in a voice with a hint of dissatisfaction, "I Now I even doubt whether Professor Enoch really pays attention to this issue?"
The audience in the audience smiled knowingly.
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
emmm…
And these are all results that are completely divorced from GRH, let alone RH.
"Even if it's just an understanding of the history of number theory."
But it is in this cycle that civilization advances.
For him, lectures are something he is already familiar with.
Although it is interesting to repeat the work of predecessors, is there any point in doing so? If a student does this, the professor will probably look at him approvingly, which is worthy of encouragement. But if a professor or scholar does this, he will probably be looked at with caring eyes by his peers.
To be honest, Lu Zhou was also a little stunned by this accident. Originally, he had a face-to-face chat with Professor Enoch, but where was the result
This statement is not accurate enough, but it must be vivid enough.
Having said this, Lu Zhou smiled.
To be honest, black brothers in North America don’t really like their compatriots back home in Africa.
"If I were asked to write similar examples on the blackboard, I could write more than ten, because there are too many."
"Mathematics is a very magical thing, and the Riemann Hypothesis is also a great thing. Although you may not know what I wrote, I can tell you clearly that the first line of formula is the basis of number theory, which is the so-called prime number theorem. .The second line is a more accurate prime number distribution formula obtained by H. von Koch in 1901 based on the condition that the Riemann Hypothesis is established. Although this formula may not necessarily be written in textbooks, it has been Used for a century.”
"Because standing in front of you is an elite with the Princeton label, and you are the least trusting of the elite, whether it is their moral character or academic qualifications. What you are more eager to hear are the voices that have been ignored. So, I dare Bet, in a few months, most of you will probably vote for a fat guy named Trump, because he is the only smart person who tries to stand in your shoes and make your voice heard... Of course Well, that’s not what I want to say today.”
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
Forget it, it’s time to practice.
emmm…
After all, he was the one who invited him to stand here.
[If the Riemann Hypothesis is true, then π(x)=Li(x)+O(√xlnx)]
Lu Zhou smiled and continued: "If this is not popular enough, I can make it more popular."
The audience in the audience smiled knowingly.
"But pay attention! I am talking about the Generalized Riemann Hypothesis, also commonly known as GRH, and the Riemann Hypothesis abbreviated as RH, which are completely different things."
"And this is the dry stuff you want."
"What's this nigga doing?"
Because Lu Zhou had already stepped onto the podium, and the people in the audience obviously agreed with this proposal.
However, he can still talk about some common sense things.
"The prime numbers in the Riemann zeta function are used for multiplication, while the prime numbers in Goldbach's conjecture are used for addition!"
Although Mr. Larter probably didn't like hearing these words.
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
"And this is the dry stuff you want."
But it is in this cycle that civilization advances.
Forget it, it’s time to practice.
Will someone drive the car in reverse and reconnect with something that has been disconnected from GRH
However, he can still talk about some common sense things.
This statement is not accurate enough, but it must be vivid enough.
This statement is not accurate enough, but it must be vivid enough.
"What's this nigga doing?"
But now, he felt that he had convinced at least some people.
Then mathematician B came out and tried to prove conclusion 1, which can be established without the help of GRH. If it cannot be proved, mathematician C will consider proving a weaker conclusion than conclusion 1, which is established independently without assuming that RH is established.
The audience in the audience smiled knowingly.
He didn't expect that it would be this guy who came to his rescue.
Standing on the podium, Lu Zhou didn't think too much about other issues.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
In this way, it is indeed much easier to understand.
And now, he's here.
Forget it, it’s time to practice.
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
Is this guy really planning to save himself
At this point, Lu Zhou paused for a moment and continued with a smile: "As for why Goldbach's conjecture is not as important as Riemann's conjecture, it's because for most people, prime numbers are used for multiplication! At the same time, these two The propositions are not equivalent, and are not even in the same 'system' at all. This is not my one-sided opinion. Even if you don't understand the difference between RH and GRH, you should know what Vinogradov did when he proved the three prime number theorem. Something."
Maybe after he reaches level ten, the system will have no secrets in front of him.
[If the Riemann hypothesis is not used, then π(x)=Li(x)+O(xe^{-1/15√lnx})]
Because Lu Zhou had already stepped onto the podium, and the people in the audience obviously agreed with this proposal.
"The reason why his point of view is said to be 'novel' is because as of 2016, this situation has not been considered for a century. In fact, Hardy and Littlewood proved it in the 1920s. Under the condition that the Riemann Hypothesis is true, the weak Goldbach Hypothesis is true.”
At this point, Lu Zhou paused for a moment, smiled and continued.
"And this is the dry stuff you want."
but…
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
Larte had a gloomy expression and kept calling, but there was always a busy signal on the other end of the phone.
It was about to start a speech, and I had to go out to eat a burger, but the guy went there with ten dollars to eat and didn't come back for almost two hours.
but…
At this point, Lu Zhou paused for a moment, smiled and continued.
The audience was completely silent.
"Some conceptual things cannot be circumvented by just one sentence of system. The whole mathematics is shrouded under the 'system' of Peano's axioms, but not all problems are as obvious as Peano's axioms. Especially when If you really understand it, you will find that it is obviously '1+1', but '1+1' and '1+1=2' are actually completely different things. They are obviously 'prime number' problems, and they even involve to 'distribution', but the two are completely unrelated."
His goal has been achieved.
Standing on the podium, Lu Zhou didn't think too much about other issues.
"Since you are so flaunting political correctness, I would like to ask, when you believed the one-sided words of the Washington Times, did you ignore my voice because of the one-sided words of a white reporter?"
"As for why I suddenly mentioned this, it was mainly to answer Professor Enoch's paper. In the paper, he proposed a quite 'novel' and very interesting point of view. Under the condition that the Riemann Hypothesis is established, it is built around the ζ function. Under the prime number distribution system, Goldbach’s conjecture is established, or is it a true proposition?”
like…
But it is in this cycle that civilization advances.
"Because standing in front of you is an elite with the Princeton label, and you are the least trusting of the elite, whether it is their moral character or academic qualifications. What you are more eager to hear are the voices that have been ignored. So, I dare Bet, in a few months, most of you will probably vote for a fat guy named Trump, because he is the only smart person who tries to stand in your shoes and make your voice heard... Of course Well, that’s not what I want to say today.”
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
In response to the glances from the audience, he cleared his throat and spoke slowly.
Lu Zhou smiled and continued: "If this is not popular enough, I can make it more popular."
For him, lectures are something he is already familiar with.
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
Although Mr. Larter probably didn't like hearing these words.
If this is the case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach hypothesis
"As for writing down these two formulas, I just want to popularize some common sense."
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
"Some conceptual things cannot be circumvented by just one sentence of system. The whole mathematics is shrouded under the 'system' of Peano's axioms, but not all problems are as obvious as Peano's axioms. Especially when If you really understand it, you will find that it is obviously '1+1', but '1+1' and '1+1=2' are actually completely different things. They are obviously 'prime number' problems, and they even involve to 'distribution', but the two are completely unrelated."
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
Then in 2012, Tao Zhexuan, who "knows a little bit of everything", proved that "all odd numbers can be expressed as the sum of up to five prime numbers."
In response to the glances from the audience, he cleared his throat and spoke slowly.
After a pause, Lu Zhou softened his tone and continued slowly.
like…
When conclusions 1, 2, 3... n came out, everyone took a look and thought, Huh? The tools invented and theories established have been able to prove RH, so more and more people are challenging this proposition, and the Clay Institute will probably replace RH's bounty with GRH.
"As for myself, there is absolutely no greatness. I just stood on the shoulders of countless giants and saw the current scenery. Needless to say, Mr. Chen's contribution to the Great Screening Method was at Berkeley and Professor Tao’s discussion also benefited me a lot, and Helfgott’s paper opened the door to a new world for me. They are all historical heroes, although they may only be remembered by one name. But their Work cannot be summed up in just 3 hours, so I sincerely thank them."
At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.
Standing on the podium, Lu Zhou didn't think too much about other issues.
Forget it, it’s time to practice.
This statement is not accurate enough, but it must be vivid enough.
Many people who did not intend to listen to this report meeting were also brought back to the scene.
"Although it only took two months to complete this paper, the specific work started a long time ago."
At this point, Lu Zhou paused for a moment and continued with a smile: "As for why Goldbach's conjecture is not as important as Riemann's conjecture, it's because for most people, prime numbers are used for multiplication! At the same time, these two The propositions are not equivalent, and are not even in the same 'system' at all. This is not my one-sided opinion. Even if you don't understand the difference between RH and GRH, you should know what Vinogradov did when he proved the three prime number theorem. Something."
Everyone sitting in the audience was stunned and looked at each other speechlessly.
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
He didn't expect that it would be this guy who came to his rescue.
"What's this nigga doing?"
Sometimes Lu Zhou discovered that he was not ignorant of politics. He was able to draw out the things that experimentalism and scientific thinking taught him, not to mention the human heart, and even the judgment logic that was not explained by the system.
But it is in this cycle that civilization advances.
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
Although Mr. Larter probably didn't like hearing these words.
"I see distrust in your eyes."
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
Lu Zhou was not wrong.
like…
Although it wasn't anything profound, he tried his best to explain everything he knew in plain and easy-to-understand language.
The audience in the audience smiled knowingly.
Lu Zhou was not wrong.
At this point, Lu Zhou paused for a moment and continued with a smile: "As for why Goldbach's conjecture is not as important as Riemann's conjecture, it's because for most people, prime numbers are used for multiplication! At the same time, these two The propositions are not equivalent, and are not even in the same 'system' at all. This is not my one-sided opinion. Even if you don't understand the difference between RH and GRH, you should know what Vinogradov did when he proved the three prime number theorem. Something."
He had even noticed that Ralte, who was standing next to the podium, had blazing eyes, clenched fists that were white and blue, and an angry expression.
When he just thought this, it was already too late to stop him.
Will someone drive the car in reverse and reconnect with something that has been disconnected from GRH
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
"Although it only took two months to complete this paper, the specific work started a long time ago."
He believed he would see that day.
Lu Zhou's voice was not loud, but it was impactful.
In this way, it is indeed much easier to understand.
But, this doesn't change anything.
"Although notarization is a very serious topic, our time is also very precious." Sitting in the front row of the venue, a man with dark skin and seemingly high status said in a voice with a hint of dissatisfaction, "I Now I even doubt whether Professor Enoch really pays attention to this issue?"
When conclusions 1, 2, 3... n came out, everyone took a look and thought, Huh? The tools invented and theories established have been able to prove RH, so more and more people are challenging this proposition, and the Clay Institute will probably replace RH's bounty with GRH.
Then in 2012, Tao Zhexuan, who "knows a little bit of everything", proved that "all odd numbers can be expressed as the sum of up to five prime numbers."
Is this guy really planning to save himself
But now, he felt that he had convinced at least some people.
Having said this, Lu Zhou smiled.
For him, lectures are something he is already familiar with.
The national conditions of the United States are different from those of China. The root of the populist problem is that the aloof White House and Wall Street will never say something that is too difficult for ordinary people in a voice that they can understand.
He swore that this was the last time he would deal with native Nigerians. This group of people did not talk about the spirit of contract at all.
"I probably won't use any profound mathematical symbols today, nor will I talk about anything too difficult to understand... Of course, there may be one or two, so don't worry. After all, some things can be described in layman's terms. Yes, but some are currently beyond my ability.”
As for the method to resolve this problem, it is actually very simple.
After making sure that every pair of eyes in the audience was looking at him, Lu Zhou turned around and wrote two lines of calculations on the blackboard behind him.
At this point, Lu Zhou paused for a moment, smiled and continued.
After a pause, he raised his voice slightly and continued.
Just speak human words.
Looking back, Lu Zhou looked at the audience and smiled.
After all, he was the one who invited him to stand here.
Cursing, he put his phone back into his pocket and glanced at the stage.
The main reason is that Lu Zhou doesn't want to waste time waiting any longer, so he should end this farce quickly.
Because Lu Zhou had already stepped onto the podium, and the people in the audience obviously agreed with this proposal.
"What's this nigga doing?"
Is this guy really planning to save himself
If the formula he writes on the whiteboard exceeds three lines today, tomorrow the New York Times and other more influential media will definitely have a different style of painting.
When conclusions 1, 2, 3... n came out, everyone took a look and thought, Huh? The tools invented and theories established have been able to prove RH, so more and more people are challenging this proposition, and the Clay Institute will probably replace RH's bounty with GRH.
In fact, it is not difficult to study the "history of number theory" and find that in many cases the birth of a theorem is first established by mathematician A based on GRH or RH and draws a beautiful conclusion 1, which attracts everyone's interest.
But it is in this cycle that civilization advances.
emmm…
Forget it, it’s time to practice.
A subtle smile appeared at the corner of Lu Zhou's mouth.
Larte was sweating profusely and came to the stage to explain: "Professor Enoch did not arrive in time due to some personal matters. I am in contact with him..."
But now, he felt that he had convinced at least some people.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
"The Riemann Hypothesis is a very important thing. Maybe the Clay Institute will give Dr. Enoch the answer he expects in the future, but it has nothing to do with me. I only explained the Riemann Hypothesis and Goethe's in layman's language. The relationship between Bach’s conjectures.”
Sometimes Lu Zhou discovered that he was not ignorant of politics. He was able to draw out the things that experimentalism and scientific thinking taught him, not to mention the human heart, and even the judgment logic that was not explained by the system.
Is this guy really planning to save himself
Looking at those convinced eyes, Lu Zhou knew that it was almost time to finish the work, so he summarized his report in a eloquent voice.
After a pause, he raised his voice slightly and continued.
But this is normal, and Lu Zhou had expected this.
Maybe after he reaches level ten, the system will have no secrets in front of him.
Although he wanted ten thousand times to go up and drive this guy off the stage, he was unable to do so.
Larte stepped aside wisely, because he understood that if he stood up at this time, he would be at a disadvantage.
"And this is the dry stuff you want."
He believed he would see that day.
The audience was completely silent.
He believed he would see that day.
Maybe after he reaches level ten, the system will have no secrets in front of him.
It is indeed the case
Looking back, Lu Zhou looked at the audience and smiled.
Lu Zhou sighed in his heart and gently put down the chalk.
To be honest, Lu Zhou was also a little stunned by this accident. Originally, he had a face-to-face chat with Professor Enoch, but where was the result
The audience in the audience smiled knowingly.
"As for writing down these two formulas, I just want to popularize some common sense."
"There is nothing much to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and can even prove Goldbach's conjecture from a probability perspective... But the former , maybe you don’t understand the point of the joke, it’s really irrelevant, as anyone who knows something about number theory will know.”
For him, lectures are something he is already familiar with.
"Even if it's just an understanding of the history of number theory."
The moment he put down the chalk.
And now, he's here.
After all, he was the one who invited him to stand here.
There was already a round of applause from the audience...
The audience in the audience smiled knowingly.
But it is in this cycle that civilization advances.
In this way, it is indeed much easier to understand.
Then think divergently and delete one word each. The Riemann Hypothesis can prove Goldbach's Hypothesis... In fact, this is not the case.
"As for writing down these two formulas, I just want to popularize some common sense."
To be honest, Lu Zhou was also a little stunned by this accident. Originally, he had a face-to-face chat with Professor Enoch, but where was the result
Then in 2012, Tao Zhexuan, who "knows a little bit of everything", proved that "all odd numbers can be expressed as the sum of up to five prime numbers."