Chapter 868

With the dispute over quasi Riemann conjecture finally settled, the editorial department of the annals of mathematics sent an email to the mailbox of Lu Zhou in the shortest time after receiving the contribution of Lu Zhou's paper on "hyper elliptic curve analysis".

In the email, the editorial department of the mathematical Yearbook first indicated to him that the paper he had previously submitted had successfully passed the "peer review" link. At the same time, the mathematical Yearbook will publish a separate special issue for the proof of "quasi Riemann conjecture" before the end of this month, which will be used to publish his thirty page paper, as well as the papers used in it Super ellipse analysis is a unique mathematical tool.

Generally speaking, only when major mathematical propositions achieve breakthrough results, it is possible to make mathematics annual, one of the top four journals, publish this paper in a special issue.

And quasi Riemann conjecture is undoubtedly worthy of this honor in the field of analytic number theory.

At the same time, considering that the analysis method of hyperelliptic curve may play an enlightening role in the study of Riemann conjecture, and if we don't master this mathematical tool, we may not understand some of the process in the paper, so the editorial department of the mathematical Yearbook made a decision to release two papers together in the same special issue.

Lu Zhou didn't pay much attention to the arrangement of the editorial department of the annual journal of mathematics. Whether they were going to open it for publication or combine it to produce a special issue, it had no impact on him.

Perhaps the topic surrounding quasi Riemann conjecture will not stop until the beginning of next year, or until the end of next year, the mathematical world will gradually popularize the mathematical thought he used in proving quasi Riemann conjecture.

But for Lu Zhou himself, this proposition has been the past form since it was proved by him.

What's more, he had already hung the preprint on arXiv before again. Now at least half of the scholars in mathematics have seen the preprint he hung on arXiv, and what he expected has been completed.

What is left for him to do is to further extend the results of quasi Riemann conjecture to "true Riemann conjecture"

It is worth mentioning that in the three days when the preprint was released, it seems that some people have made breakthroughs in the value of ε.

And this number also changed from the initial infinitesimal to the finite value.

According to the data on arXiv and the statistics of mathover flow, the value of ε is refreshed every day, even every hour, and strides towards 1 / 2 direction.

So far, the number has been refreshed to one in 60 million.

Almost half of the mathematics circle is crazy to participate in the "mathematics competition" to find a bigger ε, and at the same time, a funny thing happened.

As we all know, papers are time sensitive.

If a successful research is completed first, the research results will belong to who. However, due to the academic rigor of journals, the audit cycle will usually be very long, so many people will choose to hang the preprint to occupy the pit.

However, hanging preprint can't solve all the problems once and for all. For example, you just made a successful research of ε = 0.01 in front of your feet, and others have made ε = 0.1. After his research results are published, your research will lose the value of publication.

It's a good thing for the math world, but it's a disaster for a Ph.D. who needs a thesis to graduate.

Therefore, after the research results are listed on arxvi, almost everyone expects to publish their results in the first time, even at the expense of choosing some journals with less fame and shorter review cycle.

Unfortunately, because these papers quoted some content of the hyperelliptic geometry analysis method proposed by Lu Zhou, but Lu Zhou's own papers are still in the review stage, so it is impossible to mark and quote at all.

What?

You say the preprint of the boat hanging on arXiv?

Don't even think about it. Most of the regular journals and reviewers are stubborn and refuse the contributors to quote the "non peer reviewed" preprint in their papers. However, if the results on arXiv are used directly without reference, there is a suspicion that they are regarded as plagiarism.

As a result, there was such a sad scene.

We all know that this conclusion is right, but we can't use it.

Many people have no way to contribute after they have finished their papers, so they have to release their papers in the form of preprints. At the same time, they pay close attention to the trend of the annual journal of mathematics, and strive to contribute their papers in the first time when the papers are published in the Journal.

This is probably the first time that the journal's publication speed has been left behind by the scientific research speed

……

On the other side, I saw off my old friends' boats, got on the SUV parked at the gate of the airport and returned to Zhongshan International's villa.

Although the whole mathematical field is like a gold rush now, almost all scholars in related fields have invested in the exploration of the value of ε, but for the research of the value of ε, the land boat is not particularly interested.If ε can't be pushed to 1 / 2 directly, the final result of high probability will be the same as the original study of the conjecture of twin prime numbers. No matter how cleverly we choose the hyperelliptic curve on the complex plane, we can only approach 1 / 2 infinitely, but can't cross the last step.

In this period of time, in addition to occasionally paying attention to whether anyone on arXiv has made pioneering achievements with his hyperelliptic curve analysis method, or developed any new play method, he has collected important literature about Riemann conjecture around the world with the help of the resources of Jinling University.

It's a big taboo to build a car behind closed doors when the research gets stuck in a bottleneck. Only by contacting more new ideas or communicating with scholars in the same field can we get sparks of ideas.

It's just because of this that Professor fortings's gift to send him away is very precious

At home, he went straight to the study and sat down. The boat couldn't wait to take out the note and spread it out on the table.

As Tao zhe Xuan said, this notebook records many interesting ideas.

Some of them have been tested by Professor faltins himself and proved to be impracticable. Some of them are simply pure brain holes, or they are something he feels hopeful about, but he has no time to try.

If this note is in someone else's hands, I'm afraid it's not easy to understand.

But for the land boat, it is exactly what he needs most!

Reading the notes line by line, Lu Zhou's eyes gradually caught a few excited expressions, but when he turned to the corner of a page, he was suddenly slightly stunned.

Different from the previous fragmented records, there is a neat line of writing on this corner folded page. Unlike the first half, this part is written in German.

Lu Zhou can't speak German, but fortunately, AI is here.

With the help of AI Xiaoyi, he easily completed the translation of this page.

Surprisingly, the content of this page is not a narrative of academic achievements, but rather a piece

Diary?

[while studying Professor Hilbert's paper, I found a very interesting guess in his works. If the nontrivial zeros of Riemannian ζ function are written in the form of ρ = 1 / 2 + it, then those t correspond to the eigenvalues of some Hermitian operator one by one. If this conjecture holds, then the Riemann operator should be a special random Hermitian matrix. ]

[in the afternoon tea time of the Max Planck Institute, I had a serious discussion with Professor keliqing of the Institute of physics, and we were all shocked by our discovery. ]

[it's surprising that such a pure mathematical problem as Riemannian ζ function can be related to quantum mechanics! Later, I had an email with Edward Witten about this, but unfortunately nothing useful was discussed. ]

[if I had taken quantum mechanics as an elective before, I'm afraid it's too late for me to study physics again ]

the forefinger glides gently from the trace of the angle break, and gently puts the notes down on the land boat. Gradually, a little shock appears on the face.

It's not just Professor Montgomery and Professor Dyson

Professor fortings, who is far away in Germany, also paid attention to the projection of Riemann ζ function in quantum physics, and even talked about this problem with his other old friend Professor klitsyn, as well as Edward Witten, a big bull in the field of theoretical physics.

Unfortunately, though they realized the inextricable connection, they failed to dig out the secret behind it.

What exactly does this mean?

If the nontrivial zero point of ζ function corresponds to the energy level of a quantum mechanical system, and the whole nontrivial zero point corresponds to the energy spectrum of the quantum mechanical system, the Hamiltonian of this system is called the Riemann operator, if the Riemann conjecture holds What kind of mysterious quantum mechanical system will it correspond to?

On the other hand, if we can find out the Hermitian operators of all eigenvalues corresponding to the nontrivial zeros of Riemann ζ function, or more popular points, does finding such a "Riemann system" mean that we can prove the Riemann conjecture from the point of view of physics?

The expression of interest on Lu Zhou's face became more and more intense.

Although he prefers to reveal the physical meaning behind Riemann's conjecture through pure 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.

Two unrelated parallel lines, after a century and a half, actually meet.

In the 19th century, there was no quantum mechanics, but there was such a function that could correspond to it from a distance

At this time, the mobile phone in the corner of the table suddenly rings, interrupting the thoughts of the land boat.

Reach out to pick up the mobile phone, land boat press the button to connect, put it close to the ear.

Just as he was about to say "hello" impatiently, the one on the other end of the phone started.With some embarrassment, the man at the other end of the phone coughed softly.

“…… Well, academician Lu, do you remember me? "