After successfully killing time on the balcony until the banquet was over, and leaving two bills on the hotel waiter's tray, Lu Zhou immediately headed to the parking lot and got into the waiting black Hongqi car.
“Disruptive results often require disruptive solutions.”
At least, let him see the hope of proof...
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
The car stopped in front of his house. After telling him that he would not come to see him tomorrow, Lu Zhou went straight back to his house and walked quickly towards the stairs.
However, having said that, Lu Zhou couldn't hold back his curiosity in the end. He turned on his computer and logged into the Mathoverflow page, searching for recent topics.
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
Wang Peng, who was holding the steering wheel, was slightly stunned.
"Go back to Zhongshan International."
Although when he discussed the Riemann zeta function with the lady with a long name, he basically talked about it by himself, but even he did not expect that this kind of discussion like playing the piano could actually be used. It gave him some inspiration.
The idea is already there, now all that’s left is to solve the problem!
"OK."
Wang Peng, who was sitting in the driver's seat, nodded and quickly started the car and drove onto the highway.
The mist rising from the coffee cup gradually dissipated, the street lights beside the asphalt road gradually went out, and everything in Purple Mountain was quiet under the night. Then at some unknown hour, the morning glow gradually appeared outside the window, as if by those few voices. Disturbed by the crisp chirping of birds, Lu Zhou gently stopped the ballpoint pen in his hand and muttered softly.
"knew!"
"It doesn't matter, I had no intention of sleeping tonight."
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
Especially Professor Deligne...
After successfully killing time on the balcony until the banquet was over, and leaving two bills on the hotel waiter's tray, Lu Zhou immediately headed to the parking lot and got into the waiting black Hongqi car.
Wang Peng, who was sitting in the driver's seat, nodded and quickly started the car and drove onto the highway.
"It would be nice if there was someone to discuss it with."
But now it seems that his idea has obviously failed.
Although when he discussed the Riemann zeta function with the lady with a long name, he basically talked about it by himself, but even he did not expect that this kind of discussion like playing the piano could actually be used. It gave him some inspiration.
Although when he discussed the Riemann zeta function with the lady with a long name, he basically talked about it by himself, but even he did not expect that this kind of discussion like playing the piano could actually be used. It gave him some inspiration.
Although there are some discussions focused on the academic field, the content of these discussions is somewhat too "outdated".
The idea is already there, now all that’s left is to solve the problem!
Lu Zhou, who was sitting in the back seat of the car and had been silent all this time, suddenly said something.
…
Stretching and leaning on the chair, Lu Zhou picked up his phone from the table and sent Wang Peng a text message, asking him not to come to him for the next few days. After that, he yawned and got up and went downstairs to the bathroom. .
Especially Professor Deligne...
"I still need one tool."
But now it seems that his idea has obviously failed.
Thinking of this, Lu Zhou pushed aside the full draft paper and wrote a line of calculations on the paper.
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
Since serving as the chief designer of the Lunar Orbit Construction Committee, he has played more of an academic leader role. He rarely charges at the forefront of scientific research like an ordinary scientific research dog.
Looking at the filled paper basket and the pile of draft paper on the table that was about to be filled, Lu Zhou suddenly had a smile on his lips, shook his head and said to himself.
He previously posted the paper on Arxiv, hoping that it would serve as a catalyst and spark relevant discussions on Mathoverfolw, thereby leading to some interesting ideas.
The quadcopter drone whined and floated beside him, and followed Lu Zhou staggering up to the second floor.
Lu Zhou sat down at the desk, crumbled up all the draft papers piled on the corner of the table and threw them into the wastebasket. Lu Zhou then took out a new stack of draft papers and piled them on the table.
Wang Peng, who was holding the steering wheel, was slightly stunned.
Looking at the filled paper basket and the pile of draft paper on the table that was about to be filled, Lu Zhou suddenly had a smile on his lips, shook his head and said to himself.
"I need new tools!"
Although there are some discussions focused on the academic field, the content of these discussions is somewhat too "outdated".
"nothing."
"It would be nice if there was someone to discuss it with."
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
"It looks like I have to stay in seclusion for a few days."
"Need to go to the supermarket?"
"...what tool?"
"It looks like I have to stay in seclusion for a few days."
Although there are some discussions focused on the academic field, the content of these discussions is somewhat too "outdated".
Now that I have decided to retreat, there is no need to work hard all day long.
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
"nothing."
"It is unrealistic to solve the π(x) function through general methods. There are not 10,000 but a thousand people who have challenged this problem in the past century and a half. Even if this idea is feasible, the traditional method is It must have been considered.”
But now it seems that his idea has obviously failed.
Especially Professor Deligne...
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
"It looks like I have to stay in seclusion for a few days."
"It doesn't matter, I had no intention of sleeping tonight."
Especially Professor Deligne...
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
"Need to go to the supermarket?"
“… This is probably the cheapest project I’ve done in years.”
…
Lu Zhou smiled and shook his head.
A smile gradually appeared at the corner of Lu Zhou's mouth, and the seriousness between Lu Zhou's brows also dissipated a lot.
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
"It looks like I have to stay in seclusion for a few days."
"I can start with the right border!"
"It would be great if supermarkets sell them."
"...what tool?"
"Master?"[(·A·)]
"Master?"[(·A·)]
"But it's already so late..."[(°ー°〃)]
Stretching and leaning on the chair, Lu Zhou picked up his phone from the table and sent Wang Peng a text message, asking him not to come to him for the next few days. After that, he yawned and got up and went downstairs to the bathroom. .
He had a premonition that if he was allowed to continue talking, he would be in a state of confusion for the rest of the way. Considering that he was still driving, Wang Peng wisely closed his mouth and stopped talking, focusing on Concentrated on the road ahead.
Since serving as the chief designer of the Lunar Orbit Construction Committee, he has played more of an academic leader role. He rarely charges at the forefront of scientific research like an ordinary scientific research dog.
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
However, even so, the familiar feeling was not unfamiliar to Lu Zhou.
“Disruptive results often require disruptive solutions.”
The Purple Mountain Hotel is not far from Zhongshan International, but after only ten minutes' drive, Lu Zhou soon saw the familiar gate of the community.
The Purple Mountain Hotel is not far from Zhongshan International, but after only ten minutes' drive, Lu Zhou soon saw the familiar gate of the community.
"I can start with the right border!"
"It looks like I have to stay in seclusion for a few days."
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
Just like the relationship between the twin prime conjecture and the Polignac conjecture, the latter is a relationship contained in the former. Although proving the former cannot directly lead to the proof of the latter, it can provide inspiration for the proof of the latter. effect.
The car stopped in front of his house. After telling him that he would not come to see him tomorrow, Lu Zhou went straight back to his house and walked quickly towards the stairs.
However, having said that, Lu Zhou couldn't hold back his curiosity in the end. He turned on his computer and logged into the Mathoverflow page, searching for recent topics.
Lu Zhou smiled and shook his head.
"Master?"[(·A·)]
However, having said that, Lu Zhou couldn't hold back his curiosity in the end. He turned on his computer and logged into the Mathoverflow page, searching for recent topics.
"In the study of Weil's conjecture, including the 'copycat' Riemann hypothesis, the new mathematical tool Etale's cohomology method created by Grothendieck has had a huge impact on the development of algebraic geometry and even the entire field of mathematics. and ultimately directly led to Deligne's proof of Weil's conjecture."
"It is unrealistic to solve the π(x) function through general methods. There are not 10,000 but a thousand people who have challenged this problem in the past century and a half. Even if this idea is feasible, the traditional method is It must have been considered.”
This proof idea is also called the critical band method! Different from proving how many percent of zero points are located on the zero boundary, by continuously shrinking the area of the critical zone containing all zero points, and finally approaching the position of the critical line, this is the core of the entire proof idea!
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
“Disruptive results often require disruptive solutions.”
Such is the case with exploration in the field of mathematics.
The idea is already there, now all that’s left is to solve the problem!
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
He had a premonition that if he was allowed to continue talking, he would be in a state of confusion for the rest of the way. Considering that he was still driving, Wang Peng wisely closed his mouth and stopped talking, focusing on Concentrated on the road ahead.
"I need new tools!"
"Master?"[(·A·)]
Since serving as the chief designer of the Lunar Orbit Construction Committee, he has played more of an academic leader role. He rarely charges at the forefront of scientific research like an ordinary scientific research dog.
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
"I still need one tool."
He had a premonition that if he was allowed to continue talking, he would be in a state of confusion for the rest of the way. Considering that he was still driving, Wang Peng wisely closed his mouth and stopped talking, focusing on Concentrated on the road ahead.
The quadcopter drone whined and floated beside him, and followed Lu Zhou staggering up to the second floor.
“… This is probably the cheapest project I’ve done in years.”
He previously posted the paper on Arxiv, hoping that it would serve as a catalyst and spark relevant discussions on Mathoverfolw, thereby leading to some interesting ideas.
Unable to recognize the command contained in Lu Zhou's soliloquy, Xiao Ai, who was following behind, asked curiously.
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
Unable to recognize the command contained in Lu Zhou's soliloquy, Xiao Ai, who was following behind, asked curiously.
"Go back to Zhongshan International."
"...what tool?"
Unable to recognize the command contained in Lu Zhou's soliloquy, Xiao Ai, who was following behind, asked curiously.
However, having said that, Lu Zhou couldn't hold back his curiosity in the end. He turned on his computer and logged into the Mathoverflow page, searching for recent topics.
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
"Master?"[(·A·)]
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
"Okay Master, but please be careful about your health." [(=°ω°)]
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
“Disruptive results often require disruptive solutions.”
"If you want to prove that all zero points are distributed on the zero limit, you can start by excluding areas where zero points do not exist! Re(s≤0 and Re(s)≥1 are known results. As long as you find a way to advance this conclusion to All areas outside the critical line, that is, Re(s)1/2! The Riemann Hypothesis can be proven!"
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
"Make me a cup of coffee. If you want instant coffee, just bring it to the study."
Looking at the filled paper basket and the pile of draft paper on the table that was about to be filled, Lu Zhou suddenly had a smile on his lips, shook his head and said to himself.
"It is unrealistic to solve the π(x) function through general methods. There are not 10,000 but a thousand people who have challenged this problem in the past century and a half. Even if this idea is feasible, the traditional method is It must have been considered.”
"It would be great if supermarkets sell them."
"OK."
"nothing."
"But it's already so late..."[(°ー°〃)]
The car stopped in front of his house. After telling him that he would not come to see him tomorrow, Lu Zhou went straight back to his house and walked quickly towards the stairs.
"OK."
“Disruptive results often require disruptive solutions.”
"You can't rely on others."
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
"It doesn't matter, I had no intention of sleeping tonight."
However, as soon as this idea came to his mind, Lu Zhou shook his head.
Although it was just a vague intuition, this intuition told him that this puzzle piece was probably in algebraic geometry! Unfortunately, this is also the area where he is least productive...
Especially Professor Deligne...
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
"Okay Master, but please be careful about your health." [(=°ω°)]
Such is the case with exploration in the field of mathematics.
Although it was just a vague intuition, this intuition told him that this puzzle piece was probably in algebraic geometry! Unfortunately, this is also the area where he is least productive...
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
Just like the relationship between the twin prime conjecture and the Polignac conjecture, the latter is a relationship contained in the former. Although proving the former cannot directly lead to the proof of the latter, it can provide inspiration for the proof of the latter. effect.
Since serving as the chief designer of the Lunar Orbit Construction Committee, he has played more of an academic leader role. He rarely charges at the forefront of scientific research like an ordinary scientific research dog.
"It would be nice if there was someone to discuss it with."
"knew!"
The car stopped in front of his house. After telling him that he would not come to see him tomorrow, Lu Zhou went straight back to his house and walked quickly towards the stairs.
But unfortunately, some things cannot be explained clearly in emails. Video calls may be a method, but no matter the atmosphere or feeling, it is definitely not as suitable for academic exchanges as the afternoon tea time at Princeton.
"Okay Master, but please be careful about your health." [(=°ω°)]
"knew!"
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
"Go back to Zhongshan International."
Lu Zhou sat down at the desk, crumbled up all the draft papers piled on the corner of the table and threw them into the wastebasket. Lu Zhou then took out a new stack of draft papers and piled them on the table.
But now it seems that his idea has obviously failed.
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
"Master?"[(·A·)]
"It is unrealistic to solve the π(x) function through general methods. There are not 10,000 but a thousand people who have challenged this problem in the past century and a half. Even if this idea is feasible, the traditional method is It must have been considered.”
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
"Go back to Zhongshan International."
At present, the only one he can rely on is himself.
"I still need one tool."
No matter which proof method is adopted, the initial road must be repaired before leading to the top of the mountain.
"knew!"
"I can start with the right border!"
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
This proof idea is also called the critical band method! Different from proving how many percent of zero points are located on the zero boundary, by continuously shrinking the area of the critical zone containing all zero points, and finally approaching the position of the critical line, this is the core of the entire proof idea!
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
At first, he hoped that he could catch something with that glimmer of inspiration at night, and even get a phased result. However, unfortunately, the situation was much more serious than he imagined, at least not with the help of a piece of inspiration. It can be done with a little inspiration and a night of tinkering.
At least, let him see the hope of proof...
Such is the case with exploration in the field of mathematics.
But soon, obvious disappointment appeared on his face.
"If you want to find the way to the top of the mountain, you must first take down the nearest mountain top... The weak conjecture of Riemann's hypothesis."
At present, the only one he can rely on is himself.
"I still need one tool."
Before starting the official work, he planned to make up for the sleep he missed yesterday...
"Need to go to the supermarket?"
Lu Zhou sat down at the desk, crumbled up all the draft papers piled on the corner of the table and threw them into the wastebasket. Lu Zhou then took out a new stack of draft papers and piled them on the table.
Just like the relationship between the twin prime conjecture and the Polignac conjecture, the latter is a relationship contained in the former. Although proving the former cannot directly lead to the proof of the latter, it can provide inspiration for the proof of the latter. effect.
"It would be nice if there was someone to discuss it with."
Looking at the filled paper basket and the pile of draft paper on the table that was about to be filled, Lu Zhou suddenly had a smile on his lips, shook his head and said to himself.
…
Although when he discussed the Riemann zeta function with the lady with a long name, he basically talked about it by himself, but even he did not expect that this kind of discussion like playing the piano could actually be used. It gave him some inspiration.
"Make me a cup of coffee. If you want instant coffee, just bring it to the study."
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
Lu Zhou smiled and shook his head.
Stretching and leaning on the chair, Lu Zhou picked up his phone from the table and sent Wang Peng a text message, asking him not to come to him for the next few days. After that, he yawned and got up and went downstairs to the bathroom. .
This proof idea is also called the critical band method! Different from proving how many percent of zero points are located on the zero boundary, by continuously shrinking the area of the critical zone containing all zero points, and finally approaching the position of the critical line, this is the core of the entire proof idea!
Lu Zhou, who was sitting in the back seat of the car and had been silent all this time, suddenly said something.
“… This is probably the cheapest project I’ve done in years.”
A smile gradually appeared at the corner of Lu Zhou's mouth, and the seriousness between Lu Zhou's brows also dissipated a lot.
"OK."
Now that I have decided to retreat, there is no need to work hard all day long.
"It is unrealistic to solve the π(x) function through general methods. There are not 10,000 but a thousand people who have challenged this problem in the past century and a half. Even if this idea is feasible, the traditional method is It must have been considered.”
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
"knew!"
The car stopped in front of his house. After telling him that he would not come to see him tomorrow, Lu Zhou went straight back to his house and walked quickly towards the stairs.
The idea is already there, now all that’s left is to solve the problem!
Such is the case with exploration in the field of mathematics.
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
"I still need one tool."
…
[Re(s)=1-c/ln［|Im(s)|+2](＞0)…]
No matter which proof method is adopted, the initial road must be repaired before leading to the top of the mountain.
"If you want to find the way to the top of the mountain, you must first take down the nearest mountain top... The weak conjecture of Riemann's hypothesis."
Such is the case with exploration in the field of mathematics.
…
However, even so, the familiar feeling was not unfamiliar to Lu Zhou.
But unfortunately, some things cannot be explained clearly in emails. Video calls may be a method, but no matter the atmosphere or feeling, it is definitely not as suitable for academic exchanges as the afternoon tea time at Princeton.
However, having said that, Lu Zhou couldn't hold back his curiosity in the end. He turned on his computer and logged into the Mathoverflow page, searching for recent topics.
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
"You can't rely on others."
"You can't rely on others."
"I can start with the right border!"
"OK."
"I still need one tool."
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
"But it's already so late..."[(°ー°〃)]
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
Since serving as the chief designer of the Lunar Orbit Construction Committee, he has played more of an academic leader role. He rarely charges at the forefront of scientific research like an ordinary scientific research dog.
"Go back to Zhongshan International."
At present, the only one he can rely on is himself.
"Need to go to the supermarket?"
However, even so, the familiar feeling was not unfamiliar to Lu Zhou.
Just like the relationship between the twin prime conjecture and the Polignac conjecture, the latter is a relationship contained in the former. Although proving the former cannot directly lead to the proof of the latter, it can provide inspiration for the proof of the latter. effect.
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
However, as soon as this idea came to his mind, Lu Zhou shook his head.
The idea is already there, now all that’s left is to solve the problem!
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
"It is unrealistic to solve the π(x) function through general methods. There are not 10,000 but a thousand people who have challenged this problem in the past century and a half. Even if this idea is feasible, the traditional method is It must have been considered.”
No matter which proof method is adopted, the initial road must be repaired before leading to the top of the mountain.
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
The car stopped in front of his house. After telling him that he would not come to see him tomorrow, Lu Zhou went straight back to his house and walked quickly towards the stairs.
After successfully killing time on the balcony until the banquet was over, and leaving two bills on the hotel waiter's tray, Lu Zhou immediately headed to the parking lot and got into the waiting black Hongqi car.
But soon, obvious disappointment appeared on his face.
The mist rising from the coffee cup gradually dissipated, the street lights beside the asphalt road gradually went out, and everything in Purple Mountain was quiet under the night. Then at some unknown hour, the morning glow gradually appeared outside the window, as if by those few voices. Disturbed by the crisp chirping of birds, Lu Zhou gently stopped the ballpoint pen in his hand and muttered softly.
The mist rising from the coffee cup gradually dissipated, the street lights beside the asphalt road gradually went out, and everything in Purple Mountain was quiet under the night. Then at some unknown hour, the morning glow gradually appeared outside the window, as if by those few voices. Disturbed by the crisp chirping of birds, Lu Zhou gently stopped the ballpoint pen in his hand and muttered softly.
…
"Need to go to the supermarket?"
"nothing."
Even in relatively professional mathematics discussion communities, the most frequent ones are PHDs. People's nature is more interested in gossip than solving specific problems.
Wang Peng, who was holding the steering wheel, was slightly stunned.
Although there are some discussions focused on the academic field, the content of these discussions is somewhat too "outdated".
"In the study of Weil's conjecture, including the 'copycat' Riemann hypothesis, the new mathematical tool Etale's cohomology method created by Grothendieck has had a huge impact on the development of algebraic geometry and even the entire field of mathematics. and ultimately directly led to Deligne's proof of Weil's conjecture."
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
"...what tool?"
The quadcopter drone whined and floated beside him, and followed Lu Zhou staggering up to the second floor.
"knew!"
Even in relatively professional mathematics discussion communities, the most frequent ones are PHDs. People's nature is more interested in gossip than solving specific problems.
Wang Peng, who was holding the steering wheel, was slightly stunned.
But soon, obvious disappointment appeared on his face.
"If you want to find the way to the top of the mountain, you must first take down the nearest mountain top... The weak conjecture of Riemann's hypothesis."
"But it's already so late..."[(°ー°〃)]
He previously posted the paper on Arxiv, hoping that it would serve as a catalyst and spark relevant discussions on Mathoverfolw, thereby leading to some interesting ideas.
The Purple Mountain Hotel is not far from Zhongshan International, but after only ten minutes' drive, Lu Zhou soon saw the familiar gate of the community.
At first, he hoped that he could catch something with that glimmer of inspiration at night, and even get a phased result. However, unfortunately, the situation was much more serious than he imagined, at least not with the help of a piece of inspiration. It can be done with a little inspiration and a night of tinkering.
He had a premonition that if he was allowed to continue talking, he would be in a state of confusion for the rest of the way. Considering that he was still driving, Wang Peng wisely closed his mouth and stopped talking, focusing on Concentrated on the road ahead.
Stretching and leaning on the chair, Lu Zhou picked up his phone from the table and sent Wang Peng a text message, asking him not to come to him for the next few days. After that, he yawned and got up and went downstairs to the bathroom. .
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
Just like the relationship between the twin prime conjecture and the Polignac conjecture, the latter is a relationship contained in the former. Although proving the former cannot directly lead to the proof of the latter, it can provide inspiration for the proof of the latter. effect.
At present, the only one he can rely on is himself.
However, as soon as this idea came to his mind, Lu Zhou shook his head.
Lu Zhou sat down at the desk, crumbled up all the draft papers piled on the corner of the table and threw them into the wastebasket. Lu Zhou then took out a new stack of draft papers and piled them on the table.
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
But soon, obvious disappointment appeared on his face.
Such is the case with exploration in the field of mathematics.
Since serving as the chief designer of the Lunar Orbit Construction Committee, he has played more of an academic leader role. He rarely charges at the forefront of scientific research like an ordinary scientific research dog.
At present, the only one he can rely on is himself.
A smile gradually appeared at the corner of Lu Zhou's mouth, and the seriousness between Lu Zhou's brows also dissipated a lot.
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
Lu Zhou sat down at the desk, crumbled up all the draft papers piled on the corner of the table and threw them into the wastebasket. Lu Zhou then took out a new stack of draft papers and piled them on the table.
But soon, obvious disappointment appeared on his face.
Thinking of this, Lu Zhou pushed aside the full draft paper and wrote a line of calculations on the paper.
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
After successfully killing time on the balcony until the banquet was over, and leaving two bills on the hotel waiter's tray, Lu Zhou immediately headed to the parking lot and got into the waiting black Hongqi car.
Wang Peng, who was holding the steering wheel, was slightly stunned.
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
Wang Peng, who was sitting in the driver's seat, nodded and quickly started the car and drove onto the highway.
Stretching and leaning on the chair, Lu Zhou picked up his phone from the table and sent Wang Peng a text message, asking him not to come to him for the next few days. After that, he yawned and got up and went downstairs to the bathroom. .
However, as soon as this idea came to his mind, Lu Zhou shook his head.
Just like the relationship between the twin prime conjecture and the Polignac conjecture, the latter is a relationship contained in the former. Although proving the former cannot directly lead to the proof of the latter, it can provide inspiration for the proof of the latter. effect.
[Re(s)=1-c/ln［|Im(s)|+2](＞0)…]
No matter which proof method is adopted, the initial road must be repaired before leading to the top of the mountain.
"If you want to prove that all zero points are distributed on the zero limit, you can start by excluding areas where zero points do not exist! Re(s≤0 and Re(s)≥1 are known results. As long as you find a way to advance this conclusion to All areas outside the critical line, that is, Re(s)1/2! The Riemann Hypothesis can be proven!"
He had a premonition that if he was allowed to continue talking, he would be in a state of confusion for the rest of the way. Considering that he was still driving, Wang Peng wisely closed his mouth and stopped talking, focusing on Concentrated on the road ahead.
"Need to go to the supermarket?"
Lu Zhou, who was sitting in the back seat of the car and had been silent all this time, suddenly said something.
Even in relatively professional mathematics discussion communities, the most frequent ones are PHDs. People's nature is more interested in gossip than solving specific problems.
A smile gradually appeared at the corner of Lu Zhou's mouth, and the seriousness between Lu Zhou's brows also dissipated a lot.
Such is the case with exploration in the field of mathematics.
"Need to go to the supermarket?"
"If you want to prove that all zero points are distributed on the zero limit, you can start by excluding areas where zero points do not exist! Re(s≤0 and Re(s)≥1 are known results. As long as you find a way to advance this conclusion to All areas outside the critical line, that is, Re(s)1/2! The Riemann Hypothesis can be proven!"
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
The idea is already there, now all that’s left is to solve the problem!
"I can start with the right border!"
Even in relatively professional mathematics discussion communities, the most frequent ones are PHDs. People's nature is more interested in gossip than solving specific problems.
After successfully killing time on the balcony until the banquet was over, and leaving two bills on the hotel waiter's tray, Lu Zhou immediately headed to the parking lot and got into the waiting black Hongqi car.
Although when he discussed the Riemann zeta function with the lady with a long name, he basically talked about it by himself, but even he did not expect that this kind of discussion like playing the piano could actually be used. It gave him some inspiration.
However, even so, the familiar feeling was not unfamiliar to Lu Zhou.
This proof idea is also called the critical band method! Different from proving how many percent of zero points are located on the zero boundary, by continuously shrinking the area of the critical zone containing all zero points, and finally approaching the position of the critical line, this is the core of the entire proof idea!
[Re(s)=1-c/ln［|Im(s)|+2](＞0)…]
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
However, even so, the familiar feeling was not unfamiliar to Lu Zhou.
Lu Zhou smiled and shook his head.
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
He previously posted the paper on Arxiv, hoping that it would serve as a catalyst and spark relevant discussions on Mathoverfolw, thereby leading to some interesting ideas.
Although it was just a vague intuition, this intuition told him that this puzzle piece was probably in algebraic geometry! Unfortunately, this is also the area where he is least productive...
Wang Peng, who was holding the steering wheel, was slightly stunned.
Unable to recognize the command contained in Lu Zhou's soliloquy, Xiao Ai, who was following behind, asked curiously.
"nothing."
The idea is already there, now all that’s left is to solve the problem!
"It looks like I have to stay in seclusion for a few days."
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
"It doesn't matter, I had no intention of sleeping tonight."
Now that I have decided to retreat, there is no need to work hard all day long.
Just like the relationship between the twin prime conjecture and the Polignac conjecture, the latter is a relationship contained in the former. Although proving the former cannot directly lead to the proof of the latter, it can provide inspiration for the proof of the latter. effect.
Now that I have decided to retreat, there is no need to work hard all day long.
Although it was just a vague intuition, this intuition told him that this puzzle piece was probably in algebraic geometry! Unfortunately, this is also the area where he is least productive...
"Go back to Zhongshan International."
Wang Peng, who was sitting in the driver's seat, nodded and quickly started the car and drove onto the highway.
"It would be nice if there was someone to discuss it with."
"I still need one tool."
Thinking of this, Lu Zhou pushed aside the full draft paper and wrote a line of calculations on the paper.
This proof idea is also called the critical band method! Different from proving how many percent of zero points are located on the zero boundary, by continuously shrinking the area of the critical zone containing all zero points, and finally approaching the position of the critical line, this is the core of the entire proof idea!
"nothing."
At first, he hoped that he could catch something with that glimmer of inspiration at night, and even get a phased result. However, unfortunately, the situation was much more serious than he imagined, at least not with the help of a piece of inspiration. It can be done with a little inspiration and a night of tinkering.
"You can't rely on others."
However, as soon as this idea came to his mind, Lu Zhou shook his head.
"Go back to Zhongshan International."
"Need to go to the supermarket?"
Especially Professor Deligne...
Looking at the filled paper basket and the pile of draft paper on the table that was about to be filled, Lu Zhou suddenly had a smile on his lips, shook his head and said to himself.
"But it's already so late..."[(°ー°〃)]
[Re(s)=1-c/ln［|Im(s)|+2](＞0)…]
“Disruptive results often require disruptive solutions.”
But unfortunately, some things cannot be explained clearly in emails. Video calls may be a method, but no matter the atmosphere or feeling, it is definitely not as suitable for academic exchanges as the afternoon tea time at Princeton.
The mist rising from the coffee cup gradually dissipated, the street lights beside the asphalt road gradually went out, and everything in Purple Mountain was quiet under the night. Then at some unknown hour, the morning glow gradually appeared outside the window, as if by those few voices. Disturbed by the crisp chirping of birds, Lu Zhou gently stopped the ballpoint pen in his hand and muttered softly.
The Purple Mountain Hotel is not far from Zhongshan International, but after only ten minutes' drive, Lu Zhou soon saw the familiar gate of the community.
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
Before starting the official work, he planned to make up for the sleep he missed yesterday...
"But it's already so late..."[(°ー°〃)]
"I can start with the right border!"
At present, the only one he can rely on is himself.
The idea is already there, now all that’s left is to solve the problem!
Lu Zhou sat down at the desk, crumbled up all the draft papers piled on the corner of the table and threw them into the wastebasket. Lu Zhou then took out a new stack of draft papers and piled them on the table.
"...what tool?"
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
"I need new tools!"
"You can't rely on others."
Although when he discussed the Riemann zeta function with the lady with a long name, he basically talked about it by himself, but even he did not expect that this kind of discussion like playing the piano could actually be used. It gave him some inspiration.
At present, the only one he can rely on is himself.
At first, he hoped that he could catch something with that glimmer of inspiration at night, and even get a phased result. However, unfortunately, the situation was much more serious than he imagined, at least not with the help of a piece of inspiration. It can be done with a little inspiration and a night of tinkering.
As long as he can translate the right boundary of the critical zone from Re(s)=1 to the left to Re(s)=1-ε (ε>0), thereby eliminating the area where Re(s)≥1-ε, No matter how small the value of ε is, it can play a huge role in proving the Riemann Hypothesis!
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
Although it was just a vague intuition, this intuition told him that this puzzle piece was probably in algebraic geometry! Unfortunately, this is also the area where he is least productive...
However, having said that, Lu Zhou couldn't hold back his curiosity in the end. He turned on his computer and logged into the Mathoverflow page, searching for recent topics.
At first, he hoped that he could catch something with that glimmer of inspiration at night, and even get a phased result. However, unfortunately, the situation was much more serious than he imagined, at least not with the help of a piece of inspiration. It can be done with a little inspiration and a night of tinkering.
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
However, even so, the familiar feeling was not unfamiliar to Lu Zhou.
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
“… This is probably the cheapest project I’ve done in years.”
"You can't rely on others."
But for a purely mathematical problem like the Riemann Hypothesis, I'm afraid all it takes is scratch paper and brain cells...
But soon, obvious disappointment appeared on his face.
"Go back to Zhongshan International."
Although it was just a vague intuition, this intuition told him that this puzzle piece was probably in algebraic geometry! Unfortunately, this is also the area where he is least productive...
Lu Zhou smiled and shook his head.
No matter which proof method is adopted, the initial road must be repaired before leading to the top of the mountain.
"But it's already so late..."[(°ー°〃)]
“Disruptive results often require disruptive solutions.”
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
"Need to go to the supermarket?"
He previously posted the paper on Arxiv, hoping that it would serve as a catalyst and spark relevant discussions on Mathoverfolw, thereby leading to some interesting ideas.
Since serving as the chief designer of the Lunar Orbit Construction Committee, he has played more of an academic leader role. He rarely charges at the forefront of scientific research like an ordinary scientific research dog.
"Master?"[(·A·)]
“Disruptive results often require disruptive solutions.”
"Master?"[(·A·)]
"But it's already so late..."[(°ー°〃)]
But now it seems that his idea has obviously failed.
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
Unable to recognize the command contained in Lu Zhou's soliloquy, Xiao Ai, who was following behind, asked curiously.
At least, let him see the hope of proof...
"In the study of Weil's conjecture, including the 'copycat' Riemann hypothesis, the new mathematical tool Etale's cohomology method created by Grothendieck has had a huge impact on the development of algebraic geometry and even the entire field of mathematics. and ultimately directly led to Deligne's proof of Weil's conjecture."
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
"You can't rely on others."
Even in relatively professional mathematics discussion communities, the most frequent ones are PHDs. People's nature is more interested in gossip than solving specific problems.
Looking at the filled paper basket and the pile of draft paper on the table that was about to be filled, Lu Zhou suddenly had a smile on his lips, shook his head and said to himself.
"knew!"
"Need to go to the supermarket?"
"nothing."
At present, the only one he can rely on is himself.
Such is the case with exploration in the field of mathematics.
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
Although there are some discussions focused on the academic field, the content of these discussions is somewhat too "outdated".
"Okay Master, but please be careful about your health." [(=°ω°)]
"I can start with the right border!"
Reaching out and pushing open the study door, Lu Zhou only said three words and walked in quickly.
"If you want to prove that all zero points are distributed on the zero limit, you can start by excluding areas where zero points do not exist! Re(s≤0 and Re(s)≥1 are known results. As long as you find a way to advance this conclusion to All areas outside the critical line, that is, Re(s)1/2! The Riemann Hypothesis can be proven!"
The car stopped in front of his house. After telling him that he would not come to see him tomorrow, Lu Zhou went straight back to his house and walked quickly towards the stairs.
However, even so, the familiar feeling was not unfamiliar to Lu Zhou.
"It looks like I have to stay in seclusion for a few days."
"It doesn't matter, I had no intention of sleeping tonight."
"OK."
"But it's already so late..."[(°ー°〃)]
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
Stretching and leaning on the chair, Lu Zhou picked up his phone from the table and sent Wang Peng a text message, asking him not to come to him for the next few days. After that, he yawned and got up and went downstairs to the bathroom. .
Especially when he devotes himself wholeheartedly to the problem on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from the tip of his pen are like the notes of classical music, blending cheerful rhythm and serious rhythm. Together, they form a silent but soul-shaking symphony.
Especially Professor Deligne...
The quadcopter drone whined and floated beside him, and followed Lu Zhou staggering up to the second floor.
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.
Lu Zhou smiled and shook his head.
At first, he hoped that he could catch something with that glimmer of inspiration at night, and even get a phased result. However, unfortunately, the situation was much more serious than he imagined, at least not with the help of a piece of inspiration. It can be done with a little inspiration and a night of tinkering.
It is unrealistic to climb Mount Everest, the Riemann Hypothesis, in one go. This Mount Everest has stood at the top of the mathematical world for too long. Countless people have tried to challenge it, but most of the time they are at the foot of the mountain. It was spinning so hard that although latecomers could find a lot of signposts pointing to the top of the mountain, there wasn't even a step to take advantage of.
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
Lu Zhou sat down at the desk, crumbled up all the draft papers piled on the corner of the table and threw them into the wastebasket. Lu Zhou then took out a new stack of draft papers and piled them on the table.
Before starting the official work, he planned to make up for the sleep he missed yesterday...
Even when proving the Yang-Mills equation, which related the strong interaction force and the electromagnetic force, he wrote to borrow CERN equipment to conduct several sets of theoretical physics experiments, which also cost a lot of money.
Now that I have decided to retreat, there is no need to work hard all day long.
Lu Zhou, who was sitting in the back seat of the car and had been silent all this time, suddenly said something.
At present, the only one he can rely on is himself.
At first, he hoped that he could catch something with that glimmer of inspiration at night, and even get a phased result. However, unfortunately, the situation was much more serious than he imagined, at least not with the help of a piece of inspiration. It can be done with a little inspiration and a night of tinkering.
From the weak form of a conjecture to the conjecture itself, and the strong conjecture that generalizes the conjecture itself, when all the problems are solved and all the clues are connected together, a mathematical building is also built.
“… This is probably the cheapest project I’ve done in years.”
“Disruptive results often require disruptive solutions.”
Thinking of this, Lu Zhou pushed aside the full draft paper and wrote a line of calculations on the paper.
Before starting the official work, he planned to make up for the sleep he missed yesterday...
"I still need one tool."
For Lu Zhou, it seemed like a long time ago that he devoted himself wholeheartedly to the research of a subject.