As the controversy surrounding the quasi-Riemann Hypothesis finally settled, the editorial department of "Annals of Mathematics" received Lu Zhou's contribution to his paper on "Hyperelliptic Curve Analysis" and sent it to Lu Zhou's email address as soon as possible. mail.
Perhaps the topic surrounding the quasi-Riemann Hypothesis may continue to dominate the screen until the beginning of next year and then gradually die down. Perhaps it will not be until the end of next year that the mathematics community will slowly popularize the mathematical ideas he used to prove the quasi-Riemann Hypothesis.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
Perhaps the topic surrounding the quasi-Riemann Hypothesis may continue to dominate the screen until the beginning of next year and then gradually die down. Perhaps it will not be until the end of next year that the mathematics community will slowly popularize the mathematical ideas he used to prove the quasi-Riemann Hypothesis.
In the email, the editorial department of the "Annals of Mathematics" first told him that the paper he had submitted had successfully passed the "peer review" process. At the same time, the "Annals of Mathematics" would be "accurate" before the end of this month. The proof of "Riemann Hypothesis" was published in a separate special issue to publish his more than 30-page paper and the unique mathematical tool "hyperellipse analysis" used in it.
Lu Zhou's index finger gently slid over the mark of the folded corner, and Lu Zhou gently put down the note. A hint of shock gradually began to appear on his face.
Just when almost half of the mathematical community was frantically participating in this "mathematical competition" to find a larger ε, a ridiculous thing happened at the same time.
Therefore, after posting their research results on Arxvi, almost everyone expects to publish their results as soon as possible, even at the expense of choosing some less famous journals with shorter review cycles.
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
Lu Zhou didn't speak German, but luckily Xiao Ai was here.
[During the afternoon tea time at the Max Planck Society, I seriously discussed this issue with Professor Klitzing from the Institute of Physics. We were both shocked by our findings.]
But for Lu Zhou, it was exactly what he needed most!
Therefore, after posting their research results on Arxvi, almost everyone expects to publish their results as soon as possible, even at the expense of choosing some less famous journals with shorter review cycles.
So far, this number has been refreshed to one in 60 million.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
journal
So far, this number has been refreshed to one in 60 million.
[During the afternoon tea time at the Max Planck Society, I seriously discussed this issue with Professor Klitzing from the Institute of Physics. We were both shocked by our findings.]
What
It’s not just Professors Montgomery and Dyson…
And at the same time, considering that the hyperelliptic curve analysis method may play an inspiring role in the study of the Riemann Hypothesis, and that if you do not master this mathematical tool, you may not be able to understand part of the process in the paper, so the editor of "Annals of Mathematics" The Ministry then made the decision to publish the two papers together in the same special issue.
What is left for him to do is to further extend the results of the quasi-Riemann hypothesis to the "true Riemann hypothesis"...
Unfortunately, because these papers quoted part of the hyperelliptic geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper was still in the review stage and could not be cited at all.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
Lu Zhou is not particularly concerned about the arrangements of the editorial board of "Annals of Mathematics". Whether they plan to publish them separately or merge them together to publish a special issue, it has no impact on him.
Just when almost half of the mathematical community was frantically participating in this "mathematical competition" to find a larger ε, a ridiculous thing happened at the same time.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
Lu Zhou is not particularly concerned about the arrangements of the editorial board of "Annals of Mathematics". Whether they plan to publish them separately or merge them together to publish a special issue, it has no impact on him.
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
In the email, the editorial department of the "Annals of Mathematics" first told him that the paper he had submitted had successfully passed the "peer review" process. At the same time, the "Annals of Mathematics" would be "accurate" before the end of this month. The proof of "Riemann Hypothesis" was published in a separate special issue to publish his more than 30-page paper and the unique mathematical tool "hyperellipse analysis" used in it.
Perhaps the topic surrounding the quasi-Riemann Hypothesis may continue to dominate the screen until the beginning of next year and then gradually die down. Perhaps it will not be until the end of next year that the mathematics community will slowly popularize the mathematical ideas he used to prove the quasi-Riemann Hypothesis.
Unfortunately, because these papers quoted part of the hyperelliptic geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper was still in the review stage and could not be cited at all.
As Tao Zhexuan said, this notebook contains many interesting ideas.
[Surprisingly, a purely mathematical problem such as the Riemann zeta function is actually related to quantum mechanics! Afterwards, I exchanged emails with Edward Witten about this issue, but unfortunately nothing useful came out of the discussion.]
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
In the email, the editorial department of the "Annals of Mathematics" first told him that the paper he had submitted had successfully passed the "peer review" process. At the same time, the "Annals of Mathematics" would be "accurate" before the end of this month. The proof of "Riemann Hypothesis" was published in a separate special issue to publish his more than 30-page paper and the unique mathematical tool "hyperellipse analysis" used in it.
In the email, the editorial department of the "Annals of Mathematics" first told him that the paper he had submitted had successfully passed the "peer review" process. At the same time, the "Annals of Mathematics" would be "accurate" before the end of this month. The proof of "Riemann Hypothesis" was published in a separate special issue to publish his more than 30-page paper and the unique mathematical tool "hyperellipse analysis" used in it.
It is taboo to work behind closed doors when research reaches a bottleneck. Only by being exposed to more novel ideas or communicating with scholars working in the same field can sparks of ideas be sparked.
But for Lu Zhou himself, this proposition has become a thing of the past since he proved it.
In the distant nineteenth century, quantum mechanics did not exist, but there was a function that could echo it from a distance...
As we all know, papers are timely.
What's more, he had already posted the preprint on Arxiv before. Now at least half of the scholars in the mathematics community have read the preprint he posted on Arxiv. What he expected has been accomplished.
It is precisely because of this that the gift that Professor Faltings gave him before leaving is so precious...
We all know that this conclusion is correct, but no one can use it.
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
What is left for him to do is to further extend the results of the quasi-Riemann hypothesis to the "true Riemann hypothesis"...
What is left for him to do is to further extend the results of the quasi-Riemann hypothesis to the "true Riemann hypothesis"...
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
As the controversy surrounding the quasi-Riemann Hypothesis finally settled, the editorial department of "Annals of Mathematics" received Lu Zhou's contribution to his paper on "Hyperelliptic Curve Analysis" and sent it to Lu Zhou's email address as soon as possible. mail.
Therefore, after posting their research results on Arxvi, almost everyone expects to publish their results as soon as possible, even at the expense of choosing some less famous journals with shorter review cycles.
So far, this number has been refreshed to one in 60 million.
With a hint of embarrassment, the man on the other end of the phone coughed lightly.
Reaching out to pick up the phone, Lu Zhou pressed the connect button and put it to his ear.
It is worth mentioning that in the past three days since the preprint was released, it seems that people are constantly making breakthroughs in the value of ε.
We all know that this conclusion is correct, but no one can use it.
We all know that this conclusion is correct, but no one can use it.
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
Although he prefers to reveal the physical meaning behind the Riemann Hypothesis through purely mathematical research, this does not prevent him from being shocked by everything in front of him and the tip of the iceberg revealed from the unknown mystery.
Lu Zhou's index finger gently slid over the mark of the folded corner, and Lu Zhou gently put down the note. A hint of shock gradually began to appear on his face.
Some of them have been tested by Professor Faltings himself and proved to be unworkable, and some are just pure imagination, or he thinks there is some hope, but he has not had time to try it yet.
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
And this number has also changed from the initial infinitesimal to a finite value.
Although the entire mathematics community is now like a gold rush, and scholars in almost all related fields are devoted to exploring the value of ε, Lu Zhou is not particularly interested in studying the value of ε.
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
According to data on Arxiv and statistics from mathematical gossip forums such as Mathoverflow, the value of ε is being refreshed every day, even every hour, and is making great strides in the direction of 1/2.
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
This is probably the first time that the publication speed of journals has been lagged behind by the speed of scientific research...
If the non-trivial zero points of the ζ function correspond to the energy level of a certain quantum mechanical system, and all non-trivial zero points correspond to the energy spectrum of the quantum mechanical system, the Hamiltonian of this system is called the Riemann operator, If the Riemann Hypothesis is true... what kind of mysterious quantum mechanics system will it correspond to
So far, this number has been refreshed to one in 60 million.
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
You mean the preprint that Lu Zhou posted on Arxiv
But for Lu Zhou himself, this proposition has become a thing of the past since he proved it.
We all know that this conclusion is correct, but no one can use it.
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
In the distant nineteenth century, quantum mechanics did not exist, but there was a function that could echo it from a distance...
journal
Just when almost half of the mathematical community was frantically participating in this "mathematical competition" to find a larger ε, a ridiculous thing happened at the same time.
In the email, the editorial department of the "Annals of Mathematics" first told him that the paper he had submitted had successfully passed the "peer review" process. At the same time, the "Annals of Mathematics" would be "accurate" before the end of this month. The proof of "Riemann Hypothesis" was published in a separate special issue to publish his more than 30-page paper and the unique mathematical tool "hyperellipse analysis" used in it.
What is left for him to do is to further extend the results of the quasi-Riemann hypothesis to the "true Riemann hypothesis"...
So far, this number has been refreshed to one in 60 million.
According to data on Arxiv and statistics from mathematical gossip forums such as Mathoverflow, the value of ε is being refreshed every day, even every hour, and is making great strides in the direction of 1/2.
As we all know, papers are timely.
In the distant nineteenth century, quantum mechanics did not exist, but there was a function that could echo it from a distance...
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
According to data on Arxiv and statistics from mathematical gossip forums such as Mathoverflow, the value of ε is being refreshed every day, even every hour, and is making great strides in the direction of 1/2.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
If the non-trivial zero points of the ζ function correspond to the energy level of a certain quantum mechanical system, and all non-trivial zero points correspond to the energy spectrum of the quantum mechanical system, the Hamiltonian of this system is called the Riemann operator, If the Riemann Hypothesis is true... what kind of mysterious quantum mechanics system will it correspond to
Lu Zhou's index finger gently slid over the mark of the folded corner, and Lu Zhou gently put down the note. A hint of shock gradually began to appear on his face.
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
So far, this number has been refreshed to one in 60 million.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
[While studying Professor Hilbert's paper, I found an interesting speculation in his work. If the non-trivial zero points of the Riemann zeta function are written in the form of ρ=1/2+it, then those t correspond to the eigenvalues of a certain Hermitian operator. If this guess is true, then the Riemannian operator should be a special random hermitian matrix.]
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
However, posting preprints does not solve all problems once and for all. For example, if you have just succeeded in researching ε = 0.01, and someone else has already achieved ε = 0.1, then after his research results are released, your research will be lost. The value of the publication.
At this moment, the cell phone placed on the corner of the table suddenly rang, interrupting Lu Zhou's thoughts.
…
Lu Zhou didn't speak German, but luckily Xiao Ai was here.
…
The interested expression on Lu Zhou's face became more and more intense.
But for Lu Zhou, it was exactly what he needed most!
Reaching out to pick up the phone, Lu Zhou pressed the connect button and put it to his ear.
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
Perhaps the topic surrounding the quasi-Riemann Hypothesis may continue to dominate the screen until the beginning of next year and then gradually die down. Perhaps it will not be until the end of next year that the mathematics community will slowly popularize the mathematical ideas he used to prove the quasi-Riemann Hypothesis.
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
However, posting preprints does not solve all problems once and for all. For example, if you have just succeeded in researching ε = 0.01, and someone else has already achieved ε = 0.1, then after his research results are released, your research will be lost. The value of the publication.
It is precisely because of this that the gift that Professor Faltings gave him before leaving is so precious...
Perhaps the topic surrounding the quasi-Riemann Hypothesis may continue to dominate the screen until the beginning of next year and then gradually die down. Perhaps it will not be until the end of next year that the mathematics community will slowly popularize the mathematical ideas he used to prove the quasi-Riemann Hypothesis.
Therefore, after posting their research results on Arxvi, almost everyone expects to publish their results as soon as possible, even at the expense of choosing some less famous journals with shorter review cycles.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
But for Lu Zhou, it was exactly what he needed most!
Lu Zhou is not particularly concerned about the arrangements of the editorial board of "Annals of Mathematics". Whether they plan to publish them separately or merge them together to publish a special issue, it has no impact on him.
What exactly does this mean
Unfortunately, because these papers quoted part of the hyperelliptic geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper was still in the review stage and could not be cited at all.
And this number has also changed from the initial infinitesimal to a finite value.
And this number has also changed from the initial infinitesimal to a finite value.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
We all know that this conclusion is correct, but no one can use it.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
What
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
You mean the preprint that Lu Zhou posted on Arxiv
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
As we all know, papers are timely.
Lu Zhou didn't speak German, but luckily Xiao Ai was here.
It goes without saying that most regular journals and reviewers are very stubborn and refuse to allow authors to cite "unpeer-reviewed" preprints in their papers. However, if you directly use the results on Arxiv without citations, it may be regarded as plagiarism.
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
As he flipped through the notes line by line, Lu Zhou's eyes gradually became filled with excitement. However, when he reached the corner of the page, he suddenly froze for a moment.
So far, this number has been refreshed to one in 60 million.
Reaching out to pick up the phone, Lu Zhou pressed the connect button and put it to his ear.
Professor Faltings, who was far away in Germany, also noticed the projection of the Riemann zeta function in quantum physics, and even communicated with another old friend of his, Professor Klitzing, and Edward Witten, a great figure in theoretical physics. over this problem.
Therefore, such a ridiculous scene happened.
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
Two unrelated parallel lines actually intersected after spanning a century and a half.
[Surprisingly, a purely mathematical problem such as the Riemann zeta function is actually related to quantum mechanics! Afterwards, I exchanged emails with Edward Witten about this issue, but unfortunately nothing useful came out of the discussion.]
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
We all know that this conclusion is correct, but no one can use it.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
Unfortunately, because these papers quoted part of the hyperelliptic geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper was still in the review stage and could not be cited at all.
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
Just when almost half of the mathematical community was frantically participating in this "mathematical competition" to find a larger ε, a ridiculous thing happened at the same time.
[While studying Professor Hilbert's paper, I found an interesting speculation in his work. If the non-trivial zero points of the Riemann zeta function are written in the form of ρ=1/2+it, then those t correspond to the eigenvalues of a certain Hermitian operator. If this guess is true, then the Riemannian operator should be a special random hermitian matrix.]
It goes without saying that most regular journals and reviewers are very stubborn and refuse to allow authors to cite "unpeer-reviewed" preprints in their papers. However, if you directly use the results on Arxiv without citations, it may be regarded as plagiarism.
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
After completing their papers, many people were unable to submit their papers, so they had to post their papers as preprints. At the same time, they paid close attention to the trends of the "Annals of Mathematics" and strived to have Lu Zhou's papers published. Submit your paper as soon as possible.
You mean the preprint that Lu Zhou posted on Arxiv
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
According to data on Arxiv and statistics from mathematical gossip forums such as Mathoverflow, the value of ε is being refreshed every day, even every hour, and is making great strides in the direction of 1/2.
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
"...Um, Academician Lu, do you still remember me?"
Unfortunately, although they all realized the inextricable connections, they failed to successfully unearth the secret behind it.
[Surprisingly, a purely mathematical problem such as the Riemann zeta function is actually related to quantum mechanics! Afterwards, I exchanged emails with Edward Witten about this issue, but unfortunately nothing useful came out of the discussion.]
This is probably the first time that the publication speed of journals has been lagged behind by the speed of scientific research...
In the email, the editorial department of the "Annals of Mathematics" first told him that the paper he had submitted had successfully passed the "peer review" process. At the same time, the "Annals of Mathematics" would be "accurate" before the end of this month. The proof of "Riemann Hypothesis" was published in a separate special issue to publish his more than 30-page paper and the unique mathematical tool "hyperellipse analysis" used in it.
Although he prefers to reveal the physical meaning behind the Riemann Hypothesis through purely mathematical research, this does not prevent him from being shocked by everything in front of him and the tip of the iceberg revealed from the unknown mystery.
…
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
What's more, he had already posted the preprint on Arxiv before. Now at least half of the scholars in the mathematics community have read the preprint he posted on Arxiv. What he expected has been accomplished.
…
…
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
It is worth mentioning that in the past three days since the preprint was released, it seems that people are constantly making breakthroughs in the value of ε.
Lu Zhou didn't speak German, but luckily Xiao Ai was here.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
With a hint of embarrassment, the man on the other end of the phone coughed lightly.
In the email, the editorial department of the "Annals of Mathematics" first told him that the paper he had submitted had successfully passed the "peer review" process. At the same time, the "Annals of Mathematics" would be "accurate" before the end of this month. The proof of "Riemann Hypothesis" was published in a separate special issue to publish his more than 30-page paper and the unique mathematical tool "hyperellipse analysis" used in it.
But for Lu Zhou himself, this proposition has become a thing of the past since he proved it.
Although the entire mathematics community is now like a gold rush, and scholars in almost all related fields are devoted to exploring the value of ε, Lu Zhou is not particularly interested in studying the value of ε.
As Tao Zhexuan said, this notebook contains many interesting ideas.
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
It goes without saying that most regular journals and reviewers are very stubborn and refuse to allow authors to cite "unpeer-reviewed" preprints in their papers. However, if you directly use the results on Arxiv without citations, it may be regarded as plagiarism.
If this notebook were in the hands of others, it might not be easy to understand it.
And this number has also changed from the initial infinitesimal to a finite value.
It is precisely because of this that the gift that Professor Faltings gave him before leaving is so precious...
What
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
This is probably the first time that the publication speed of journals has been lagged behind by the speed of scientific research...
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
It is worth mentioning that in the past three days since the preprint was released, it seems that people are constantly making breakthroughs in the value of ε.
In the distant nineteenth century, quantum mechanics did not exist, but there was a function that could echo it from a distance...
journal
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
…
At this moment, the cell phone placed on the corner of the table suddenly rang, interrupting Lu Zhou's thoughts.
"...Um, Academician Lu, do you still remember me?"
It is taboo to work behind closed doors when research reaches a bottleneck. Only by being exposed to more novel ideas or communicating with scholars working in the same field can sparks of ideas be sparked.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
So far, this number has been refreshed to one in 60 million.
What exactly does this mean
Surprisingly, the content of this page is not a record of academic achievements, but it looks like an article...
What's more, he had already posted the preprint on Arxiv before. Now at least half of the scholars in the mathematics community have read the preprint he posted on Arxiv. What he expected has been accomplished.
[While studying Professor Hilbert's paper, I found an interesting speculation in his work. If the non-trivial zero points of the Riemann zeta function are written in the form of ρ=1/2+it, then those t correspond to the eigenvalues of a certain Hermitian operator. If this guess is true, then the Riemannian operator should be a special random hermitian matrix.]
It is precisely because of this that the gift that Professor Faltings gave him before leaving is so precious...
journal
What's more, he had already posted the preprint on Arxiv before. Now at least half of the scholars in the mathematics community have read the preprint he posted on Arxiv. What he expected has been accomplished.
…
Lu Zhou didn't speak German, but luckily Xiao Ai was here.
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
After returning home, he went straight to the study and sat down. He eagerly took out the notebook and spread it out on the table.
What
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
"...Um, Academician Lu, do you still remember me?"
However, posting preprints does not solve all problems once and for all. For example, if you have just succeeded in researching ε = 0.01, and someone else has already achieved ε = 0.1, then after his research results are released, your research will be lost. The value of the publication.
It goes without saying that most regular journals and reviewers are very stubborn and refuse to allow authors to cite "unpeer-reviewed" preprints in their papers. However, if you directly use the results on Arxiv without citations, it may be regarded as plagiarism.
But for Lu Zhou, it was exactly what he needed most!
With a hint of embarrassment, the man on the other end of the phone coughed lightly.
As Tao Zhexuan said, this notebook contains many interesting ideas.
Therefore, such a ridiculous scene happened.
Surprisingly, the content of this page is not a record of academic achievements, but it looks like an article...
Lu Zhou is not particularly concerned about the arrangements of the editorial board of "Annals of Mathematics". Whether they plan to publish them separately or merge them together to publish a special issue, it has no impact on him.
After completing their papers, many people were unable to submit their papers, so they had to post their papers as preprints. At the same time, they paid close attention to the trends of the "Annals of Mathematics" and strived to have Lu Zhou's papers published. Submit your paper as soon as possible.
As Tao Zhexuan said, this notebook contains many interesting ideas.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
And this number has also changed from the initial infinitesimal to a finite value.
Some of them have been tested by Professor Faltings himself and proved to be unworkable, and some are just pure imagination, or he thinks there is some hope, but he has not had time to try it yet.
Lu Zhou is not particularly concerned about the arrangements of the editorial board of "Annals of Mathematics". Whether they plan to publish them separately or merge them together to publish a special issue, it has no impact on him.
It is taboo to work behind closed doors when research reaches a bottleneck. Only by being exposed to more novel ideas or communicating with scholars working in the same field can sparks of ideas be sparked.
It is worth mentioning that in the past three days since the preprint was released, it seems that people are constantly making breakthroughs in the value of ε.
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
As Tao Zhexuan said, this notebook contains many interesting ideas.
At this moment, the cell phone placed on the corner of the table suddenly rang, interrupting Lu Zhou's thoughts.
If this notebook were in the hands of others, it might not be easy to understand it.
We all know that this conclusion is correct, but no one can use it.
The interested expression on Lu Zhou's face became more and more intense.
Surprisingly, the content of this page is not a record of academic achievements, but it looks like an article...
journal
But for Lu Zhou, it was exactly what he needed most!
If the non-trivial zero points of the ζ function correspond to the energy level of a certain quantum mechanical system, and all non-trivial zero points correspond to the energy spectrum of the quantum mechanical system, the Hamiltonian of this system is called the Riemann operator, If the Riemann Hypothesis is true... what kind of mysterious quantum mechanics system will it correspond to
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
"...Um, Academician Lu, do you still remember me?"
At this moment, the cell phone placed on the corner of the table suddenly rang, interrupting Lu Zhou's thoughts.
It is precisely because of this that the gift that Professor Faltings gave him before leaving is so precious...
As he flipped through the notes line by line, Lu Zhou's eyes gradually became filled with excitement. However, when he reached the corner of the page, he suddenly froze for a moment.
But for Lu Zhou himself, this proposition has become a thing of the past since he proved it.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
Unfortunately, although they all realized the inextricable connections, they failed to successfully unearth the secret behind it.
Professor Faltings, who was far away in Germany, also noticed the projection of the Riemann zeta function in quantum physics, and even communicated with another old friend of his, Professor Klitzing, and Edward Witten, a great figure in theoretical physics. over this problem.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
Perhaps the topic surrounding the quasi-Riemann Hypothesis may continue to dominate the screen until the beginning of next year and then gradually die down. Perhaps it will not be until the end of next year that the mathematics community will slowly popularize the mathematical ideas he used to prove the quasi-Riemann Hypothesis.
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
[Surprisingly, a purely mathematical problem such as the Riemann zeta function is actually related to quantum mechanics! Afterwards, I exchanged emails with Edward Witten about this issue, but unfortunately nothing useful came out of the discussion.]
Unfortunately, because these papers quoted part of the hyperelliptic geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper was still in the review stage and could not be cited at all.
According to data on Arxiv and statistics from mathematical gossip forums such as Mathoverflow, the value of ε is being refreshed every day, even every hour, and is making great strides in the direction of 1/2.
Lu Zhou didn't speak German, but luckily Xiao Ai was here.
Some of them have been tested by Professor Faltings himself and proved to be unworkable, and some are just pure imagination, or he thinks there is some hope, but he has not had time to try it yet.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
Given the weight of the proposition of the Quasi-Riemann Hypothesis in the world of analytical number theory, it is undoubtedly worthy of this honor.
Reaching out to pick up the phone, Lu Zhou pressed the connect button and put it to his ear.
With Xiao Ai's help, he easily completed the translation of this page.
What exactly does this mean
[While studying Professor Hilbert's paper, I found an interesting speculation in his work. If the non-trivial zero points of the Riemann zeta function are written in the form of ρ=1/2+it, then those t correspond to the eigenvalues of a certain Hermitian operator. If this guess is true, then the Riemannian operator should be a special random hermitian matrix.]
Surprisingly, the content of this page is not a record of academic achievements, but it looks like an article...
journal
journal
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
As Tao Zhexuan said, this notebook contains many interesting ideas.
Professor Faltings, who was far away in Germany, also noticed the projection of the Riemann zeta function in quantum physics, and even communicated with another old friend of his, Professor Klitzing, and Edward Witten, a great figure in theoretical physics. over this problem.
Unfortunately, although they all realized the inextricable connections, they failed to successfully unearth the secret behind it.
What is left for him to do is to further extend the results of the quasi-Riemann hypothesis to the "true Riemann hypothesis"...
journal
Two unrelated parallel lines actually intersected after spanning a century and a half.
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
[During the afternoon tea time at the Max Planck Society, I seriously discussed this issue with Professor Klitzing from the Institute of Physics. We were both shocked by our findings.]
Unfortunately, although they all realized the inextricable connections, they failed to successfully unearth the secret behind it.
But for Lu Zhou, it was exactly what he needed most!
Just when almost half of the mathematical community was frantically participating in this "mathematical competition" to find a larger ε, a ridiculous thing happened at the same time.
[While studying Professor Hilbert's paper, I found an interesting speculation in his work. If the non-trivial zero points of the Riemann zeta function are written in the form of ρ=1/2+it, then those t correspond to the eigenvalues of a certain Hermitian operator. If this guess is true, then the Riemannian operator should be a special random hermitian matrix.]
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
Therefore, after posting their research results on Arxvi, almost everyone expects to publish their results as soon as possible, even at the expense of choosing some less famous journals with shorter review cycles.
However, posting preprints does not solve all problems once and for all. For example, if you have just succeeded in researching ε = 0.01, and someone else has already achieved ε = 0.1, then after his research results are released, your research will be lost. The value of the publication.
[During the afternoon tea time at the Max Planck Society, I seriously discussed this issue with Professor Klitzing from the Institute of Physics. We were both shocked by our findings.]
Therefore, after posting their research results on Arxvi, almost everyone expects to publish their results as soon as possible, even at the expense of choosing some less famous journals with shorter review cycles.
This is probably the first time that the publication speed of journals has been lagged behind by the speed of scientific research...
Lu Zhou is not particularly concerned about the arrangements of the editorial board of "Annals of Mathematics". Whether they plan to publish them separately or merge them together to publish a special issue, it has no impact on him.
As we all know, papers are timely.
[Surprisingly, a purely mathematical problem such as the Riemann zeta function is actually related to quantum mechanics! Afterwards, I exchanged emails with Edward Witten about this issue, but unfortunately nothing useful came out of the discussion.]
However, posting preprints does not solve all problems once and for all. For example, if you have just succeeded in researching ε = 0.01, and someone else has already achieved ε = 0.1, then after his research results are released, your research will be lost. The value of the publication.
What's more, he had already posted the preprint on Arxiv before. Now at least half of the scholars in the mathematics community have read the preprint he posted on Arxiv. What he expected has been accomplished.
With Xiao Ai's help, he easily completed the translation of this page.
It is worth mentioning that in the past three days since the preprint was released, it seems that people are constantly making breakthroughs in the value of ε.
The interested expression on Lu Zhou's face became more and more intense.
journal
Just when almost half of the mathematical community was frantically participating in this "mathematical competition" to find a larger ε, a ridiculous thing happened at the same time.
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
As Tao Zhexuan said, this notebook contains many interesting ideas.
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
Lu Zhou's index finger gently slid over the mark of the folded corner, and Lu Zhou gently put down the note. A hint of shock gradually began to appear on his face.
But for Lu Zhou, it was exactly what he needed most!
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
What is left for him to do is to further extend the results of the quasi-Riemann hypothesis to the "true Riemann hypothesis"...
"...Um, Academician Lu, do you still remember me?"
At this moment, the cell phone placed on the corner of the table suddenly rang, interrupting Lu Zhou's thoughts.
It’s not just Professors Montgomery and Dyson…
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
Professor Faltings, who was far away in Germany, also noticed the projection of the Riemann zeta function in quantum physics, and even communicated with another old friend of his, Professor Klitzing, and Edward Witten, a great figure in theoretical physics. over this problem.
It is precisely because of this that the gift that Professor Faltings gave him before leaving is so precious...
What exactly does this mean
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
But for Lu Zhou, it was exactly what he needed most!
Unfortunately, although they all realized the inextricable connections, they failed to successfully unearth the secret behind it.
What
journal
journal
After returning home, he went straight to the study and sat down. He eagerly took out the notebook and spread it out on the table.
With a hint of embarrassment, the man on the other end of the phone coughed lightly.
Just when almost half of the mathematical community was frantically participating in this "mathematical competition" to find a larger ε, a ridiculous thing happened at the same time.
Lu Zhou's index finger gently slid over the mark of the folded corner, and Lu Zhou gently put down the note. A hint of shock gradually began to appear on his face.
journal
What exactly does this mean
As Tao Zhexuan said, this notebook contains many interesting ideas.
You mean the preprint that Lu Zhou posted on Arxiv
Unfortunately, although they all realized the inextricable connections, they failed to successfully unearth the secret behind it.
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
Therefore, such a ridiculous scene happened.
If the non-trivial zero points of the ζ function correspond to the energy level of a certain quantum mechanical system, and all non-trivial zero points correspond to the energy spectrum of the quantum mechanical system, the Hamiltonian of this system is called the Riemann operator, If the Riemann Hypothesis is true... what kind of mysterious quantum mechanics system will it correspond to
We all know that this conclusion is correct, but no one can use it.
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
[It would have been nice if I had taken quantum mechanics before. I am afraid it is too late for me to study physics now... ]
If ε cannot be directly advanced to 1/2, there is a high probability that the final result will be the same as the original study of the twin prime conjecture. No matter how cleverly you choose the hyperelliptic curve on the complex plane, it will only be infinitely close to 1/ 2, without being able to cross the last step.
[Surprisingly, a purely mathematical problem such as the Riemann zeta function is actually related to quantum mechanics! Afterwards, I exchanged emails with Edward Witten about this issue, but unfortunately nothing useful came out of the discussion.]
The interested expression on Lu Zhou's face became more and more intense.
What is left for him to do is to further extend the results of the quasi-Riemann hypothesis to the "true Riemann hypothesis"...
What's more, he had already posted the preprint on Arxiv before. Now at least half of the scholars in the mathematics community have read the preprint he posted on Arxiv. What he expected has been accomplished.
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
This is a good thing for the mathematics community, but for a PhD student who needs a thesis to graduate, it is undoubtedly a disaster.
Although he prefers to reveal the physical meaning behind the Riemann Hypothesis through purely mathematical research, this does not prevent him from being shocked by everything in front of him and the tip of the iceberg revealed from the unknown mystery.
So far, this number has been refreshed to one in 60 million.
If the non-trivial zero points of the ζ function correspond to the energy level of a certain quantum mechanical system, and all non-trivial zero points correspond to the energy spectrum of the quantum mechanical system, the Hamiltonian of this system is called the Riemann operator, If the Riemann Hypothesis is true... what kind of mysterious quantum mechanics system will it correspond to
Two unrelated parallel lines actually intersected after spanning a century and a half.
[While studying Professor Hilbert's paper, I found an interesting speculation in his work. If the non-trivial zero points of the Riemann zeta function are written in the form of ρ=1/2+it, then those t correspond to the eigenvalues of a certain Hermitian operator. If this guess is true, then the Riemannian operator should be a special random hermitian matrix.]
Whoever completes a successful research first will own the research results. However, due to the academic rigor of journals, the review cycle is usually very long, so many people will choose to post preprints to take advantage of the situation.
After returning home, he went straight to the study and sat down. He eagerly took out the notebook and spread it out on the table.
The interested expression on Lu Zhou's face became more and more intense.
After returning home, he went straight to the study and sat down. He eagerly took out the notebook and spread it out on the table.
Therefore, such a ridiculous scene happened.
It goes without saying that most regular journals and reviewers are very stubborn and refuse to allow authors to cite "unpeer-reviewed" preprints in their papers. However, if you directly use the results on Arxiv without citations, it may be regarded as plagiarism.
And at the same time, considering that the hyperelliptic curve analysis method may play an inspiring role in the study of the Riemann Hypothesis, and that if you do not master this mathematical tool, you may not be able to understand part of the process in the paper, so the editor of "Annals of Mathematics" The Ministry then made the decision to publish the two papers together in the same special issue.
In the distant nineteenth century, quantum mechanics did not exist, but there was a function that could echo it from a distance...
Two unrelated parallel lines actually intersected after spanning a century and a half.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
At this moment, the cell phone placed on the corner of the table suddenly rang, interrupting Lu Zhou's thoughts.
It is taboo to work behind closed doors when research reaches a bottleneck. Only by being exposed to more novel ideas or communicating with scholars working in the same field can sparks of ideas be sparked.
Although the entire mathematics community is now like a gold rush, and scholars in almost all related fields are devoted to exploring the value of ε, Lu Zhou is not particularly interested in studying the value of ε.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
As Tao Zhexuan said, this notebook contains many interesting ideas.
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
Reaching out to pick up the phone, Lu Zhou pressed the connect button and put it to his ear.
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
Although the entire mathematics community is now like a gold rush, and scholars in almost all related fields are devoted to exploring the value of ε, Lu Zhou is not particularly interested in studying the value of ε.
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
Different from the previous fragmented records, there are neat lines of handwriting printed on this dog-eared page. Unlike the first half, this part is written in German.
Just when he was about to say "Hello" impatiently, the person on the other end of the phone spoke first.
"...Um, Academician Lu, do you still remember me?"
Two unrelated parallel lines actually intersected after spanning a century and a half.
Although he prefers to reveal the physical meaning behind the Riemann Hypothesis through purely mathematical research, this does not prevent him from being shocked by everything in front of him and the tip of the iceberg revealed from the unknown mystery.
It is worth mentioning that in the past three days since the preprint was released, it seems that people are constantly making breakthroughs in the value of ε.
During this period, in addition to occasionally paying attention to whether anyone on Arxiv had made groundbreaking results using his hyperelliptic curve analysis method, or developed any new gameplay, he relied on the resources of Jinling University to Collect important documents about the Riemann Hypothesis from all over the world.
With a hint of embarrassment, the man on the other end of the phone coughed lightly.
If this notebook were in the hands of others, it might not be easy to understand it.
With a hint of embarrassment, the man on the other end of the phone coughed lightly.
Generally speaking, only when a major mathematical proposition achieves breakthrough results can it be possible for the Annals of Mathematics, one of the four top journals, to issue a special issue to publish the paper.
Therefore, such a ridiculous scene happened.
After returning home, he went straight to the study and sat down. He eagerly took out the notebook and spread it out on the table.
What
However, posting preprints does not solve all problems once and for all. For example, if you have just succeeded in researching ε = 0.01, and someone else has already achieved ε = 0.1, then after his research results are released, your research will be lost. The value of the publication.
"...Um, Academician Lu, do you still remember me?"
It is taboo to work behind closed doors when research reaches a bottleneck. Only by being exposed to more novel ideas or communicating with scholars working in the same field can sparks of ideas be sparked.
What's more, he had already posted the preprint on Arxiv before. Now at least half of the scholars in the mathematics community have read the preprint he posted on Arxiv. What he expected has been accomplished.
On the other side, Lu Zhou, who had seen off his old friends, got into the SUV parked at the entrance of the airport and returned to his villa in Zhongshan International.
What
[While studying Professor Hilbert's paper, I found an interesting speculation in his work. If the non-trivial zero points of the Riemann zeta function are written in the form of ρ=1/2+it, then those t correspond to the eigenvalues of a certain Hermitian operator. If this guess is true, then the Riemannian operator should be a special random hermitian matrix.]
On the other hand, if we can find a Hermitian operator whose eigenvalues are all corresponding to the non-trivial zero points of the Riemann ζ function, or to put it more generally, does it mean that we can find such a "Riemannian system" from physics? Prove the Riemann Hypothesis from a scientific perspective
Unfortunately, because these papers quoted part of the hyperelliptic geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper was still in the review stage and could not be cited at all.