A lot of things can happen in just one cup of coffee.
Then he looked at the calendar and confirmed that it was already May, not April 1st.
Mathematics is different from computers. For the computer industry, an idea that is different by two months may mean that it is wrong by a century. Therefore, many people like to take advantage of the pit first and supplement later, so they frequently use Arxiv.
Although the quality of papers on Arxiv that have not been peer-reviewed varies, many newcomers have come up with some very creative ideas that are very inspiring... but they are not perfect yet.
Just when Lu Zhou returned to bed and lay down, his consciousness entering the system space, British mathematician Andrew Granville at the University of Montreal in Canada, thousands of kilometers away from Princeton, was browsing the Arxiv webpage.
A lot of things can happen in just one cup of coffee.
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
"It actually solved Goldbach's conjecture... This is impossible."
Lu Zhou
What does this paper mean... He proved Goldbach's conjecture again this year
Lu Zhou
This is one of the things he must do every day, sometimes after his morning run, sometimes before going to bed.
Generally speaking, this kind of paper will be thrown into the "General Mathematics" section, and this section has long been blocked by him.
"Professor! I saw a paper on Goldbach's conjecture on Arxiv!"
This is one of the things he must do every day, sometimes after his morning run, sometimes before going to bed.
Although most professors like to leave the work of tracking the latest research progress of their peers on Arxiv to doctoral or master's students in the laboratory, Granville likes to do this himself.
Prover of Zhou's conjecture, twin prime conjecture, and Polignac conjecture
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
Granville was stunned for a moment, but also woke up instantly!
Isn't this the Euler statement of Goldbach's conjecture
While muttering under his breath, Granville clicked on the paper and read line by line along the abstract of the paper.
The paper totals more than fifty pages, but this is nothing compared to the amount of information contained in the title.
Although the quality of papers on Arxiv that have not been peer-reviewed varies, many newcomers have come up with some very creative ideas that are very inspiring... but they are not perfect yet.
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
Granville frowned, and obsessive-compulsive disorder prompted him to click on the reminder.
…
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
The original sleepiness was gone, but he did not move. Instead, he sat on the chair and stood there for half a minute.
After roughly reading about ten papers, Granville yawned and was about to get up and go to bed.
The audience burst into applause, and Professor Helfgott was sent out of the lecture hall.
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
Granville frowned, and obsessive-compulsive disorder prompted him to click on the reminder.
The lecture comes to an end.
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
However, at this moment, his personal page suddenly received an alert from a website, and it happened to come from two tags he was paying attention to - analytic number theory and prime number problems.
Next, is the question and answer session.
Just when Lu Zhou returned to bed and lay down, his consciousness entering the system space, British mathematician Andrew Granville at the University of Montreal in Canada, thousands of kilometers away from Princeton, was browsing the Arxiv webpage.
only…
Granville frowned, and obsessive-compulsive disorder prompted him to click on the reminder.
He shook his head, and just when he was about to close his laptop and go to sleep, he suddenly noticed the contributor's name.
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
However, after seeing the title of the article, the corners of his lips curled up.
The audience burst into applause, and Professor Helfgott was sent out of the lecture hall.
Lu Zhou
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
"Of course, my proof is far from perfect, and there is still a lot of room for improvement. But if everyone here is interested in studying this issue in depth, I still suggest that you change your mind and reconsider this issue."
He took out his glasses from his pocket and put them on, and he immediately said: "Print out the paper for me."
"Any even number greater than 2 can be expressed as the sum of two prime numbers"
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
As for mathematics, to be honest, just relying on an idea really doesn't mean much.
Isn't this the Euler statement of Goldbach's conjecture
This is one of the things he must do every day, sometimes after his morning run, sometimes before going to bed.
Granville was stunned for a moment, but also woke up instantly!
"Professor Helfgott, how long do you think it will take to solve Goldbach's conjecture?"
A lot of things can happen in just one cup of coffee.
Amos returned to the computer enthusiastically and started the printer.
After roughly reading about ten papers, Granville yawned and was about to get up and go to bed.
The paper totals more than fifty pages, but this is nothing compared to the amount of information contained in the title.
Generally speaking, this kind of paper will be thrown into the "General Mathematics" section, and this section has long been blocked by him.
"Professor, is he right?"
Prover of Zhou's conjecture, twin prime conjecture, and Polignac conjecture
Granville didn’t know why this paper triggered the alert, but he thought it was probably a bug on the website or negligence on the part of the staff.
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
Although most professors like to leave the work of tracking the latest research progress of their peers on Arxiv to doctoral or master's students in the laboratory, Granville likes to do this himself.
He shook his head, and just when he was about to close his laptop and go to sleep, he suddenly noticed the contributor's name.
Granville didn’t know why this paper triggered the alert, but he thought it was probably a bug on the website or negligence on the part of the staff.
A lot of things can happen in just one cup of coffee.
After waiting for a long time, a young man stood up and spoke.
He shook his head, and just when he was about to close his laptop and go to sleep, he suddenly noticed the contributor's name.
Just when Lu Zhou returned to bed and lay down, his consciousness entering the system space, British mathematician Andrew Granville at the University of Montreal in Canada, thousands of kilometers away from Princeton, was browsing the Arxiv webpage.
The original sleepiness was gone, but he did not move. Instead, he sat on the chair and stood there for half a minute.
Amos returned to the computer enthusiastically and started the printer.
Prover of Zhou's conjecture, twin prime conjecture, and Polignac conjecture
Then…
"... He used a brand new method. I can see the shadow of the sieve method on it, and I can also see traces of the closed orbit integral and the residue theorem that are obviously circle methods... Of course, the most amazing thing is He introduced the concept of group theory into his theoretical framework. I have seen similar ideas in Professor Zelberg's paper, but they are not so pure. As for whether he has proved it, I dare not draw a conclusion. , I need to ask other people’s opinions..."
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
After about five minutes, he finally opened his eyes, as if talking to his student Amos, or to himself.
"Okay, Professor!"
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
He was stunned.
With a buzzing sound, these 50 pages of still-warm A4 paper were soon delivered to Helfgott's hands.
Although most professors like to leave the work of tracking the latest research progress of their peers on Arxiv to doctoral or master's students in the laboratory, Granville likes to do this himself.
What does this paper mean... He proved Goldbach's conjecture again this year
Then he looked at the calendar and confirmed that it was already May, not April 1st.
Leaning back in his chair, Professor Helfgott closed his eyes and thought for a long time.
Why is such a major conjecture proof still on Arxiv
The paper totals more than fifty pages, but this is nothing compared to the amount of information contained in the title.
What does this paper mean... He proved Goldbach's conjecture again this year
Lu Zhou
only…
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
Last year's winner of the Cole Prize in Number Theory
After roughly reading about ten papers, Granville yawned and was about to get up and go to bed.
On the other side, far across the Atlantic, the Ecole Normale Supérieure in Paris was giving a lecture on the proof of the weak Goldbach conjecture.
Prover of Zhou's conjecture, twin prime conjecture, and Polignac conjecture
The original sleepiness was gone, but he did not move. Instead, he sat on the chair and stood there for half a minute.
The audience burst into applause, and Professor Helfgott was sent out of the lecture hall.
After waiting for a long time, a young man stood up and spoke.
Amos waited for a long time, but did not get the reaction he expected.
As for mathematics, to be honest, just relying on an idea really doesn't mean much.
Helfgott placed his briefcase on the table, his expression unchanged, and said in an unhurried voice, "Amos, I have told you many times that articles on Arxiv must be selective. Look. There is only one Perelman, and there is probably only one. You should read the classic publications I marked for you, not some dross that has not been peer-reviewed."
What does this paper mean... He proved Goldbach's conjecture again this year
Mathematics is different from computers. For the computer industry, an idea that is different by two months may mean that it is wrong by a century. Therefore, many people like to take advantage of the pit first and supplement later, so they frequently use Arxiv.
While muttering under his breath, Granville clicked on the paper and read line by line along the abstract of the paper.
WTF? !
Sitting here are not only professors and researchers from the Ecole Normale Supérieure, but also students.
Although most professors like to leave the work of tracking the latest research progress of their peers on Arxiv to doctoral or master's students in the laboratory, Granville likes to do this himself.
Granville was stunned for a moment, but also woke up instantly!
Without staying here longer, he picked up his briefcase and walked toward the office.
"Of course, my proof is far from perfect, and there is still a lot of room for improvement. But if everyone here is interested in studying this issue in depth, I still suggest that you change your mind and reconsider this issue."
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
The original sleepiness was gone, but he did not move. Instead, he sat on the chair and stood there for half a minute.
"Professor, is he right?"
Granville didn’t know why this paper triggered the alert, but he thought it was probably a bug on the website or negligence on the part of the staff.
Then, he read this paper all night...
…
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
Then he looked at the calendar and confirmed that it was already May, not April 1st.
The proof of such a major conjecture cannot be concluded in a short time. Not only does he need time, but his colleagues who are also researching in this direction also need time.
only…
Amos looked helpless. He knew that his boss didn't like Arxiv, but he still tried to explain: "But professor, the author of this article is the winner of the Cole Number Theory Award last year! There is no way that the paper he wrote is also crap. "
Although most professors like to leave the work of tracking the latest research progress of their peers on Arxiv to doctoral or master's students in the laboratory, Granville likes to do this himself.
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
However, after seeing the title of the article, the corners of his lips curled up.
The paper totals more than fifty pages, but this is nothing compared to the amount of information contained in the title.
Granville was stunned for a moment, but also woke up instantly!
Why is such a major conjecture proof still on Arxiv
"It actually solved Goldbach's conjecture... This is impossible."
He was stunned.
What does this paper mean... He proved Goldbach's conjecture again this year
However, after seeing the title of the article, the corners of his lips curled up.
The original sleepiness was gone, but he did not move. Instead, he sat on the chair and stood there for half a minute.
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
Finally, he got a little anxious from waiting and couldn't help but ask in a low voice.
What does this paper mean... He proved Goldbach's conjecture again this year
While muttering under his breath, Granville clicked on the paper and read line by line along the abstract of the paper.
"Of course, my proof is far from perfect, and there is still a lot of room for improvement. But if everyone here is interested in studying this issue in depth, I still suggest that you change your mind and reconsider this issue."
What does this paper mean... He proved Goldbach's conjecture again this year
Then, he read this paper all night...
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
"Professor, is he right?"
Sitting here are not only professors and researchers from the Ecole Normale Supérieure, but also students.
"Of course, my proof is far from perfect, and there is still a lot of room for improvement. But if everyone here is interested in studying this issue in depth, I still suggest that you change your mind and reconsider this issue."
…
Mathematics is different from computers. For the computer industry, an idea that is different by two months may mean that it is wrong by a century. Therefore, many people like to take advantage of the pit first and supplement later, so they frequently use Arxiv.
He shook his head, and just when he was about to close his laptop and go to sleep, he suddenly noticed the contributor's name.
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
On the other side, far across the Atlantic, the Ecole Normale Supérieure in Paris was giving a lecture on the proof of the weak Goldbach conjecture.
Amos waited for a long time, but did not get the reaction he expected.
WTF? !
Helfgott was stunned for a moment, his expression very surprised.
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
He was stunned.
Isn't this the Euler statement of Goldbach's conjecture
The speaker is naturally the prover of this conjecture, Harold Helfgott.
Then, he read this paper all night...
Next, is the question and answer session.
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
"...The end of the circle method lies in the weak Goldbach conjecture. We can prove that any odd number greater than 7 can be expressed as the sum of three odd prime numbers, but it is difficult to generalize it to even numbers."
The audience burst into applause, and Professor Helfgott was sent out of the lecture hall.
After waiting for a long time, a young man stood up and spoke.
Granville didn’t know why this paper triggered the alert, but he thought it was probably a bug on the website or negligence on the part of the staff.
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
"...The end of the circle method lies in the weak Goldbach conjecture. We can prove that any odd number greater than 7 can be expressed as the sum of three odd prime numbers, but it is difficult to generalize it to even numbers."
He took out his glasses from his pocket and put them on, and he immediately said: "Print out the paper for me."
"Okay, Professor!"
What does this paper mean... He proved Goldbach's conjecture again this year
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
Although most professors like to leave the work of tracking the latest research progress of their peers on Arxiv to doctoral or master's students in the laboratory, Granville likes to do this himself.
The lecture comes to an end.
"Of course, my proof is far from perfect, and there is still a lot of room for improvement. But if everyone here is interested in studying this issue in depth, I still suggest that you change your mind and reconsider this issue."
Lu Zhou
Granville was stunned for a moment, but also woke up instantly!
"Professor! I saw a paper on Goldbach's conjecture on Arxiv!"
The lecture comes to an end.
The speaker is naturally the prover of this conjecture, Harold Helfgott.
"... He used a brand new method. I can see the shadow of the sieve method on it, and I can also see traces of the closed orbit integral and the residue theorem that are obviously circle methods... Of course, the most amazing thing is He introduced the concept of group theory into his theoretical framework. I have seen similar ideas in Professor Zelberg's paper, but they are not so pure. As for whether he has proved it, I dare not draw a conclusion. , I need to ask other people’s opinions..."
Amos returned to the computer enthusiastically and started the printer.
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
After waiting for a long time, a young man stood up and spoke.
A lot of things can happen in just one cup of coffee.
Next, is the question and answer session.
Time passed by minute by minute.
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
Sitting here are not only professors and researchers from the Ecole Normale Supérieure, but also students.
Amos waited for a long time, but did not get the reaction he expected.
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
After waiting for a long time, a young man stood up and spoke.
While muttering under his breath, Granville clicked on the paper and read line by line along the abstract of the paper.
WTF? !
Finally, he got a little anxious from waiting and couldn't help but ask in a low voice.
"Professor! I saw a paper on Goldbach's conjecture on Arxiv!"
"Professor, is he right?"
The audience burst into applause, and Professor Helfgott was sent out of the lecture hall.
On the other side, far across the Atlantic, the Ecole Normale Supérieure in Paris was giving a lecture on the proof of the weak Goldbach conjecture.
Without staying here longer, he picked up his briefcase and walked toward the office.
"Professor Helfgott, how long do you think it will take to solve Goldbach's conjecture?"
The audience burst into applause, and Professor Helfgott was sent out of the lecture hall.
This is one of the things he must do every day, sometimes after his morning run, sometimes before going to bed.
Granville was stunned for a moment, but also woke up instantly!
only…
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
As for mathematics, to be honest, just relying on an idea really doesn't mean much.
Lu Zhou
Granville didn’t know why this paper triggered the alert, but he thought it was probably a bug on the website or negligence on the part of the staff.
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
"Okay, Professor!"
"Professor, is he right?"
The lecture is over.
After about five minutes, he finally opened his eyes, as if talking to his student Amos, or to himself.
WTF? !
Isn't this the Euler statement of Goldbach's conjecture
The audience burst into applause, and Professor Helfgott was sent out of the lecture hall.
"It actually solved Goldbach's conjecture... This is impossible."
Professor Helfgott pushed up his glasses, took out a pen from the pen holder, and looked at the contents of the paper line by line.
While muttering under his breath, Granville clicked on the paper and read line by line along the abstract of the paper.
However, at this moment, his personal page suddenly received an alert from a website, and it happened to come from two tags he was paying attention to - analytic number theory and prime number problems.
The proof of such a major conjecture cannot be concluded in a short time. Not only does he need time, but his colleagues who are also researching in this direction also need time.
only…
Without staying here longer, he picked up his briefcase and walked toward the office.
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
Helfgott was stunned for a moment, his expression very surprised.
…
On the other side, far across the Atlantic, the Ecole Normale Supérieure in Paris was giving a lecture on the proof of the weak Goldbach conjecture.
"It actually solved Goldbach's conjecture... This is impossible."
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
However, after seeing the title of the article, the corners of his lips curled up.
Granville was stunned for a moment, but also woke up instantly!
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
Helfgott placed his briefcase on the table, his expression unchanged, and said in an unhurried voice, "Amos, I have told you many times that articles on Arxiv must be selective. Look. There is only one Perelman, and there is probably only one. You should read the classic publications I marked for you, not some dross that has not been peer-reviewed."
The proof of such a major conjecture cannot be concluded in a short time. Not only does he need time, but his colleagues who are also researching in this direction also need time.
"Professor! I saw a paper on Goldbach's conjecture on Arxiv!"
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
Helfgott placed his briefcase on the table, his expression unchanged, and said in an unhurried voice, "Amos, I have told you many times that articles on Arxiv must be selective. Look. There is only one Perelman, and there is probably only one. You should read the classic publications I marked for you, not some dross that has not been peer-reviewed."
Just when Lu Zhou returned to bed and lay down, his consciousness entering the system space, British mathematician Andrew Granville at the University of Montreal in Canada, thousands of kilometers away from Princeton, was browsing the Arxiv webpage.
…
Helfgott thought for a moment and replied: "It depends on whether the tools we have to solve the problem are existing or unprecedented. In fact, if possible, I even hope that it will never be solved. Look at what we have What did we get? We improved the ancient sieving method, created the circle method, the density method, etc... It’s not that I’m greedy, but maybe through this proposition, we can harvest more treasures.”
Mathematics is different from computers. For the computer industry, an idea that is different by two months may mean that it is wrong by a century. Therefore, many people like to take advantage of the pit first and supplement later, so they frequently use Arxiv.
Just when Lu Zhou returned to bed and lay down, his consciousness entering the system space, British mathematician Andrew Granville at the University of Montreal in Canada, thousands of kilometers away from Princeton, was browsing the Arxiv webpage.
He took out his glasses from his pocket and put them on, and he immediately said: "Print out the paper for me."
However, after seeing the title of the article, the corners of his lips curled up.
only…
As for mathematics, to be honest, just relying on an idea really doesn't mean much.
As for mathematics, to be honest, just relying on an idea really doesn't mean much.
Then he looked at the calendar and confirmed that it was already May, not April 1st.
"Professor Helfgott, how long do you think it will take to solve Goldbach's conjecture?"
Although the quality of papers on Arxiv that have not been peer-reviewed varies, many newcomers have come up with some very creative ideas that are very inspiring... but they are not perfect yet.
Sitting here are not only professors and researchers from the Ecole Normale Supérieure, but also students.
Helfgott was stunned for a moment, his expression very surprised.
Amos looked helpless. He knew that his boss didn't like Arxiv, but he still tried to explain: "But professor, the author of this article is the winner of the Cole Number Theory Award last year! There is no way that the paper he wrote is also crap. "
"...The end of the circle method lies in the weak Goldbach conjecture. We can prove that any odd number greater than 7 can be expressed as the sum of three odd prime numbers, but it is difficult to generalize it to even numbers."
…
Although the quality of papers on Arxiv that have not been peer-reviewed varies, many newcomers have come up with some very creative ideas that are very inspiring... but they are not perfect yet.
Helfgott was stunned for a moment, his expression very surprised.
"Okay, Professor!"
What does this paper mean... He proved Goldbach's conjecture again this year
After roughly reading about ten papers, Granville yawned and was about to get up and go to bed.
It's not because of the reputation of the Kohl's Number Theory Prize. This kind of reputation is already a cloud for people like him. But he knew who was the winner of last year's Cole Prize. Because at the academic exchange meeting at the University of California, Berkeley, the young Chinese man left a good impression on him.
Leaning back in his chair, Professor Helfgott closed his eyes and thought for a long time.
WTF? !
only…
Amos looked helpless. He knew that his boss didn't like Arxiv, but he still tried to explain: "But professor, the author of this article is the winner of the Cole Number Theory Award last year! There is no way that the paper he wrote is also crap. "
Amos waited for a long time, but did not get the reaction he expected.
Time passed by minute by minute.
Mathematics is different from computers. For the computer industry, an idea that is different by two months may mean that it is wrong by a century. Therefore, many people like to take advantage of the pit first and supplement later, so they frequently use Arxiv.
After roughly reading about ten papers, Granville yawned and was about to get up and go to bed.
"It actually solved Goldbach's conjecture... This is impossible."
Why is such a major conjecture proof still on Arxiv
He was stunned.
Although the quality of papers on Arxiv that have not been peer-reviewed varies, many newcomers have come up with some very creative ideas that are very inspiring... but they are not perfect yet.
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
Just when Lu Zhou returned to bed and lay down, his consciousness entering the system space, British mathematician Andrew Granville at the University of Montreal in Canada, thousands of kilometers away from Princeton, was browsing the Arxiv webpage.
Amos looked helpless. He knew that his boss didn't like Arxiv, but he still tried to explain: "But professor, the author of this article is the winner of the Cole Number Theory Award last year! There is no way that the paper he wrote is also crap. "
Helfgott placed his briefcase on the table, his expression unchanged, and said in an unhurried voice, "Amos, I have told you many times that articles on Arxiv must be selective. Look. There is only one Perelman, and there is probably only one. You should read the classic publications I marked for you, not some dross that has not been peer-reviewed."
Amos waited for a long time, but did not get the reaction he expected.
only…
What does this paper mean... He proved Goldbach's conjecture again this year
"Of course, my proof is far from perfect, and there is still a lot of room for improvement. But if everyone here is interested in studying this issue in depth, I still suggest that you change your mind and reconsider this issue."
Without staying here longer, he picked up his briefcase and walked toward the office.
He took out his glasses from his pocket and put them on, and he immediately said: "Print out the paper for me."
This is one of the things he must do every day, sometimes after his morning run, sometimes before going to bed.
Professor Helfgott pushed up his glasses, took out a pen from the pen holder, and looked at the contents of the paper line by line.
only…
Then he looked at the calendar and confirmed that it was already May, not April 1st.
"Okay, Professor!"
Then…
Last year's winner of the Cole Prize in Number Theory
"... He used a brand new method. I can see the shadow of the sieve method on it, and I can also see traces of the closed orbit integral and the residue theorem that are obviously circle methods... Of course, the most amazing thing is He introduced the concept of group theory into his theoretical framework. I have seen similar ideas in Professor Zelberg's paper, but they are not so pure. As for whether he has proved it, I dare not draw a conclusion. , I need to ask other people’s opinions..."
Amos returned to the computer enthusiastically and started the printer.
This is one of the things he must do every day, sometimes after his morning run, sometimes before going to bed.
"... He used a brand new method. I can see the shadow of the sieve method on it, and I can also see traces of the closed orbit integral and the residue theorem that are obviously circle methods... Of course, the most amazing thing is He introduced the concept of group theory into his theoretical framework. I have seen similar ideas in Professor Zelberg's paper, but they are not so pure. As for whether he has proved it, I dare not draw a conclusion. , I need to ask other people’s opinions..."
He took out his glasses from his pocket and put them on, and he immediately said: "Print out the paper for me."
The lecture is over.
only…
Helfgott placed his briefcase on the table, his expression unchanged, and said in an unhurried voice, "Amos, I have told you many times that articles on Arxiv must be selective. Look. There is only one Perelman, and there is probably only one. You should read the classic publications I marked for you, not some dross that has not been peer-reviewed."
Finally, he got a little anxious from waiting and couldn't help but ask in a low voice.
The lecture is over.
With a buzzing sound, these 50 pages of still-warm A4 paper were soon delivered to Helfgott's hands.
only…
As for mathematics, to be honest, just relying on an idea really doesn't mean much.
Amos looked helpless. He knew that his boss didn't like Arxiv, but he still tried to explain: "But professor, the author of this article is the winner of the Cole Number Theory Award last year! There is no way that the paper he wrote is also crap. "
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
Professor Helfgott pushed up his glasses, took out a pen from the pen holder, and looked at the contents of the paper line by line.
Professor Helfgott pushed up his glasses, took out a pen from the pen holder, and looked at the contents of the paper line by line.
Granville frowned, and obsessive-compulsive disorder prompted him to click on the reminder.
WTF? !
However, after seeing the title of the article, the corners of his lips curled up.
Amos waited for a long time, but did not get the reaction he expected.
He shook his head, and just when he was about to close his laptop and go to sleep, he suddenly noticed the contributor's name.
Time passed by minute by minute.
Time passed by minute by minute.
He was stunned.
Sitting here are not only professors and researchers from the Ecole Normale Supérieure, but also students.
The original sleepiness was gone, but he did not move. Instead, he sat on the chair and stood there for half a minute.
"... He used a brand new method. I can see the shadow of the sieve method on it, and I can also see traces of the closed orbit integral and the residue theorem that are obviously circle methods... Of course, the most amazing thing is He introduced the concept of group theory into his theoretical framework. I have seen similar ideas in Professor Zelberg's paper, but they are not so pure. As for whether he has proved it, I dare not draw a conclusion. , I need to ask other people’s opinions..."
Amos waited for a long time, but did not get the reaction he expected.
He opened the door and walked to his seat, but before he could sit down and take a drink of water, his student quickly walked over to him with a look of surprise on his face.
Professor Helfgott pushed up his glasses, took out a pen from the pen holder, and looked at the contents of the paper line by line.
He took out his glasses from his pocket and put them on, and he immediately said: "Print out the paper for me."
Finally, he got a little anxious from waiting and couldn't help but ask in a low voice.
Amos returned to the computer enthusiastically and started the printer.
He shook his head, and just when he was about to close his laptop and go to sleep, he suddenly noticed the contributor's name.
After about five minutes, he finally opened his eyes, as if talking to his student Amos, or to himself.
"Professor, is he right?"
Granville was stunned for a moment, but also woke up instantly!
However, after seeing the title of the article, the corners of his lips curled up.
Then he looked at the calendar and confirmed that it was already May, not April 1st.
Sitting here are not only professors and researchers from the Ecole Normale Supérieure, but also students.
Prover of Zhou's conjecture, twin prime conjecture, and Polignac conjecture
"...I'm not sure." Professor Helfgott shook his head, put down the pen in his hand, and said carefully, "But I didn't find any obvious problem."
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
…
Then…
Time passed by minute by minute.
His expression straightened slightly, and Helfgott felt that he should treat this paper with caution. Don't miss such a major achievement because of your prejudice against Arxiv.
Granville didn’t know why this paper triggered the alert, but he thought it was probably a bug on the website or negligence on the part of the staff.
"Any even number greater than 2 can be expressed as the sum of two prime numbers"
The proof of such a major conjecture cannot be concluded in a short time. Not only does he need time, but his colleagues who are also researching in this direction also need time.
Prover of Zhou's conjecture, twin prime conjecture, and Polignac conjecture
The lecture is over.
Leaning back in his chair, Professor Helfgott closed his eyes and thought for a long time.
Amos looked helpless. He knew that his boss didn't like Arxiv, but he still tried to explain: "But professor, the author of this article is the winner of the Cole Number Theory Award last year! There is no way that the paper he wrote is also crap. "
He was stunned.
Granville didn’t know why this paper triggered the alert, but he thought it was probably a bug on the website or negligence on the part of the staff.
Granville was stunned for a moment, but also woke up instantly!
He took out his glasses from his pocket and put them on, and he immediately said: "Print out the paper for me."
This is one of the things he must do every day, sometimes after his morning run, sometimes before going to bed.
After about five minutes, he finally opened his eyes, as if talking to his student Amos, or to himself.
"It actually solved Goldbach's conjecture... This is impossible."
"It actually solved Goldbach's conjecture... This is impossible."
Leaning back in his chair, Professor Helfgott closed his eyes and thought for a long time.
After waiting for a long time, a young man stood up and spoke.
Prover of Zhou's conjecture, twin prime conjecture, and Polignac conjecture
"... He used a brand new method. I can see the shadow of the sieve method on it, and I can also see traces of the closed orbit integral and the residue theorem that are obviously circle methods... Of course, the most amazing thing is He introduced the concept of group theory into his theoretical framework. I have seen similar ideas in Professor Zelberg's paper, but they are not so pure. As for whether he has proved it, I dare not draw a conclusion. , I need to ask other people’s opinions..."
Why is such a major conjecture proof still on Arxiv
"It actually solved Goldbach's conjecture... This is impossible."