With the controversy surrounding the Quasi-Riemann conjecture finally settled, the editorial department of the Mathematics Yearbook sent a message to Lu Zhou in the shortest time after receiving the submission of Lu Zhou’s paper on “Super Elliptic Curve Analysis”. mail.

In the e-mail, the editorial department of Mathematical Yearbook first indicated to him that the paper he had previously submitted had successfully passed the “peer review” session, while the “Year of Mathematics” will be “pre-existing” before the end of this month. The Riemann Conjecture's proof is published separately for a special issue of his 30-page paper and the unique mathematical tool used in the "Super Ellipse Analysis".

In general, only when major mathematical propositions achieve breakthrough results, it is possible to make the "Year of Mathematics", one of the four top publications, a special issue for the publication of this paper.

And the proposition of quasi-Riemann conjecture in the analysis of the number of the field of mathematical theory is undoubtedly worthy of this honor.

At the same time, considering the study of the Riemann conjecture by the hyperelliptic curve analysis method may play an enlightening role, and if you do not master this mathematical tool, you may not be able to understand some of the processes in the paper, so the editor of the Mathematics Yearbook The ministry made a decision to put the two papers together in the same special issue.

Lu Zhou is not particularly concerned about the arrangement of the editorial department of the Mathematics Yearbook. Whether they intend to open the publication or merge together for a special issue, it has no effect on him.

Perhaps the topic surrounding the Quasi-Riemann conjecture may continue to be screened until the beginning of next year, and it may not be until the end of next year that the mathematics community can gradually popularize the mathematical ideas he used in proving the Quasi-Riemann conjecture.

However, for Lu Zhou himself, this proposition has been a past tense since it was proved by him.

What's more, once again he had already posted the preprint on Arxiv, and now at least half of the mathematics scholars have seen the preprint he has hung on Arxiv, and what he expected has been completed.

What he needs to do is to further extend the results of the Quasi-Riemann conjecture to the "True Riemann conjecture"...

It is worth mentioning that, in the past three days of pre-printing, it seems that people have made breakthroughs in the value of ε.

And this number has changed from the initial infinity to the finite value.

According to the data on Arxiv and the mathematic gossip forum of Mathoverflow, the value of ε is refreshed every day, even every hour, and strides forward in the direction of 1/2.

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

In almost half of the mathematics world, when they were madly involved in the “mathematical competition” of finding a larger ε, there was also a ridiculous thing.

As we all know, the paper is time-sensitive.

Whoever succeeds in a research is the first to complete, and who the research results belong to. However, due to the academic rigor of the journal, the review cycle usually takes a long time, so many people choose to hang the preprint.

However, hanging preprints can't solve all problems once and for all. For example, if your forefoot has just made a research success of ε=0.01, others have already achieved ε=0.1, then after the release of his research results, your research will lose. The value of the journal.

This is a good thing for the mathematics community, but for a doctor who needs a thesis to graduate, it is definitely a disaster.

Therefore, after hanging the research results on Arxvi, almost everyone expects to publish their own results in the first time, even at the expense of selecting some journals whose reputation is not so large and the review period is shorter.

However, unfortunately, because these papers quote some of the contents of the superelliptic geometry analysis method proposed by Lu Zhou, Lu Zhou's own paper is still in the review stage, and there is no way to label it.

what?

Do you say that Lu Zhou is preprinted on Arxiv?

I don't even have to think about it. Most regular journals and reviewers are reluctant to reject contributors who quote “pre-reviewed” preprints in their papers. However, if the results are not directly quoted and used directly on Arxiv, there is a suspicion of being considered plagiarism.

Therefore, there is such a scene that is so ridiculous.

Obviously, this conclusion is correct, but everyone can't use it.

After completing the thesis, many people have no choice but to submit a manuscript. They have to hang their own papers in the form of preprints. At the same time, they pay close attention to the movement of the "Year of Mathematics" and strive to publish the papers in Lu Zhou. The first time to submit your own paper.

This is probably the first time that the speed of publication of journals has been left behind by the speed of scientific research...

......

On the other side, I sent away the old friends' Lu Zhou, sat on the SUV parked at the airport gate, and returned to the villa of Zhongshan International.

Although the entire mathematics community is like a gold rush, almost all scholars in related fields have invested in the exploration of ε values, but Lu Zhou is not particularly interested in the value of ε.

If you can't directly push ε to 1/2, the final result of the big probability will be the same as the study of the twin prime guess. No matter how cleverly you choose the hyperelliptic curve on the complex plane, you can only get infinitely close to 1/ 2, but can not cross the last step.

During this time, in addition to occasionally paying attention to whether Arxiv had made groundbreaking results with his hyperelliptic curve analysis, or developed any new gameplay, he relied on the resources of Jinling University. The world has collected important literature on Riemann's conjecture.

When research is caught in a bottleneck, it is a big taboo to build a car behind closed doors. If you have more exposure to some novel ideas or communicate with scholars in the same field, it is possible to ignite the spark of thought.

It is precisely because of this that Professor Faltins’s gift of giving him away is precious...

When I got home, I went straight to the study room and sat down. Lu Zhou couldn't wait to take out the note and spread it on the table.

As Tao Zhexuan said, this note has recorded many interesting ideas.

Some of them have been tested by Professor Faltins himself and proved to be unworkable. Some of them are simply pure brain holes, or he feels a little hopeful, but it is too late to try.

If this note is in the hands of others, I am afraid it is not easy to understand.

But for Lu Zhou, it is exactly what he needs most!

After reading the notes line by line, Lu Zhou's eyes gradually got a few excitement expressions, but when he turned to a corner of the page, he suddenly stunned.

Different from the fragmentation records mentioned above, on the page of this chamfer, there is a line of handwriting. Unlike the first half, this part is written in German.

Lu Zhou does not speak German, but fortunately there is Xiao Ai here.

With the help of Xiao Ai, he easily translated the content of this page.

Surprisingly, the content of this page is not a narrative of academic achievements, but rather an article...

diary?

[When studying the paper by Professor Hilbert, I found a very interesting guess in his work. If the non-trivial zeros of the Riemann's function are written as ρ=1/2+it, then those t correspond to the eigenvalues ​​of a Hermitian operator. If this guess is true, then the Riemann operator should be a special random Hermitian matrix. 】

[In the afternoon tea time of the Max Planck Society, I seriously discussed this issue with Professor Klein of the Institute of Physics. We were all shocked by our own findings. 】

[Unexpectedly, a purely mathematical problem like the Riemann function is actually linked to quantum mechanics! Afterwards, I exchanged this question with Edward Witten in the mail, but unfortunately did not discuss anything useful. 】

[If I had to choose excessive sub-mechanics before, let me study physics now, I am afraid it is too late...]

The index finger gently slid over the traces of the corners, and the boat that gently put the notes down, the face gradually began to show a shock.

Not just Professor Montgomery and Professor Dyson...

Professor Fartings, who is far away from Germany, also noticed the projection of the Riemann's function in quantum physics, and even communicated with his other old friend, Professor Cui Qing, and the great actor of the theoretical physics, Edward Witten. Have this problem.

However, unfortunately, although they all realized the intricate connections, they did not succeed in unearthing the secret behind this.

What does this mean?

If the non-trivial zero of the ζ function corresponds to the energy level of a quantum mechanical system, the whole of the non-trivial zero corresponds to the energy spectrum of the quantum mechanical system, and the Hamiltonian of this system is called the Riemann operator. If Riemann’s conjecture is true... what kind of mysterious quantum mechanics system will it correspond to?

Conversely, if it is possible to find an Erwin operator corresponding to a non-trivial zero of the Riemannζ function, or a more popular point, finding such a “Riemann system” also means being able to The perspective of learning proves the Riemann conjecture?

The expression of interest on Lu Zhou’s face is getting stronger and stronger.

Although he is more inclined to reveal the physical meaning behind the Riemann conjecture through purely mathematical research, this does not prevent him from being shocked by everything in front of him and from the tip of the iceberg revealed by the unknown mystery.

The two unrelated parallel lines, after spanning a century and a half, actually merged together.

In the distant 19th century, there is no quantum mechanics, but there is such a function that can echo in the distance...

At this time, the phone placed at the corner of the table suddenly sounded ringing, interrupting Lu Zhou’s thoughts.

Reaching out to pick up the phone, Lu Zhou pressed the button that was connected and put it to his ear.

Just when he was just preparing to say "hey" impatiently, the one on the other end of the line was first opened.

With a bit of awkwardness, the man on the other end of the phone coughed.

"...that, Lu Academician, do you remember me?"