As the controversy surrounding the quasi-Riemann conjecture finally settled, the editorial office of the Annals of Mathematics sent an email to Lu Zhou's mailbox in the shortest possible time after receiving the submission of Lu Zhou's paper on "Hyperelliptic Curve Analysis".

In the email, the editorial office of the Annals of Mathematics first informed him that the paper he submitted had successfully passed the "peer review" process, and that the Annals of Mathematics would publish a separate special issue of the proof of the "quasi-Riemann conjecture" before the end of this month, which would be used to publish his more than 30-page paper and the unique mathematical tool "hyperelliptic analysis" used in it.

Generally speaking, only when a major mathematical proposition achieves breakthrough results, it is possible to ask the Annals of Mathematics, one of the four top journals, to publish a special issue for the paper.

The weight of the proposition of the quasi-Riemann conjecture in the analytic number theory community is undoubtedly worthy of this honor.

At the same time, considering that the study of the Riemann conjecture by hyperelliptic curve analysis may be enlightening, and that it may not be possible to understand part of the process in the paper without mastering this mathematical tool, the editorial board of Annals of Mathematics made the decision to release the two papers together in the same special issue.

Lu Zhou didn't particularly care about the arrangement of the editorial department of the Annals of Mathematics, whether they planned to split it up and publish it, or merge it together to produce a special issue, it had no impact on him.

Perhaps the topic surrounding the quasi-Riemann conjecture may continue to fade until the beginning of next year, and perhaps it will not be until the end of next year that the mathematical community will slowly popularize the mathematical ideas he used to prove the quasi-Riemann conjecture.

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

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

All that remains for him to do is to further generalize the results of the quasi-Riemann conjecture to the "True Riemann conjecture......

It is worth mentioning that in the three days since the release of the preprint, there seems to be a continuous stream of people who have made breakthroughs in the value of the ε.

And this number has also changed from the original infinitesimal to an infinite number.

According to data from Arxiv and Mathoverflow, a gossip forum in the math community, ε values are being refreshed every day, even every hour, making great strides towards 1/2.

So far, that number has been refreshed to 1 in 60 million.

At a time when almost half of the mathematical community is frantically participating in this "mathematical race" in search of a bigger ε, a ridiculous thing is happening at the same time.

As we all know, essays are time-sensitive.

However, due to the academic rigor of journals, the review cycle is usually long, so many people will choose to hang preprints to occupy the pitfall.

However, hanging a preprint cannot solve all problems once and for all, for example, if you have just made a successful study of ε=0.01 on the front foot, and someone else has achieved ε=0.1, then after the publication of his research results, your research will lose the value of publication.

This is a good thing for the mathematical community, but it is undoubtedly a disaster for a PhD who needs a thesis to graduate.

Therefore, after listing the research results on Arxvi, almost everyone expects to publish their results as soon as possible, even at the expense of choosing some less well-known journals with a slightly shorter review cycle.

Unfortunately, however, because these papers cite part of the superelliptic geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper is still in the review stage and cannot be cited at all.

What the?

You say a preprint of the land boat hanging on the Arxiv?

Needless to say, most regular journals and reviewers are stubborn and refuse to cite "non-peer-reviewed" preprints in their papers. However, if you use the results of Arxiv without citation, it is suspected of plagiarism.

Therefore, such a laughable scene happened.

Everyone knew that this conclusion was correct, but no one could use it.

After completing the paper, many people have no choice but to submit their paper in the form of a preprint, and at the same time pay close attention to the trend of the "Annals of Mathematics", and strive to submit their papers as soon as Lu Zhou's paper is published.

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

……

On the other side, Lu Zhou, who saw off his old friends, got into an SUV parked at the airport gate and returned to Zhongshan International's villa.

Although the entire mathematical community is now like a gold rush, and almost all scholars in related fields have devoted themselves to the exploration of ε values, Lu Zhou is not particularly interested in the study of ε values.

If the ε cannot be directly advanced to 1/2, the final result will be the same as the original study of the twin prime conjecture, no matter how clever the superelliptic curve is selected on the complex plane, it can only be infinitely close to 1/2, and cannot cross the last step.

During this time, in addition to occasionally paying attention to whether anyone in Arxiv had made groundbreaking results with his superelliptic curve analysis method or developed any new gameplay, he used the resources of Jinling University to collect important literature on the Riemann conjecture all over the world.

It is taboo to work behind closed doors when research is at a bottleneck, and it is possible to get in touch with some novel ideas or communicate with scholars in the same field.

It is precisely for this reason that the great gift that Professor Faltings gave him before leaving is very precious......

Back at home, he went straight to the study and sat down, Lu Zhou couldn't wait to take out the notebook and spread it out on the table.

As Tao Zhexuan said, there are many interesting ideas recorded in this notebook.

Some of them had been tested by Professor Faltins himself and proved to be unworkable, while others were simply pure brainstorms, or he felt a little hopeful, but had not yet had time to try.

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

But for Lu Zhou, it was exactly what he needed most!

Flipping through the notes line by line, Lu Zhou's eyes gradually became a little excited, but when he turned to the corner of a page, he was suddenly slightly stunned.

Different from the fragmented records in the previous one, on this folded page, there are neat lines of handwriting. Unlike the first half, this section is written in German.

Lu Zhou doesn't know German, but luckily there is Xiao Ai here.

With Xiao Ai's help, he was able to translate this page with ease.

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

Diary?

[While studying Professor Hilbert's paper, I found an interesting speculation in his writings.] If the nontrivial zeros of the Riemann ζ function are written as ρ=1/2+it, then those t correspond one-to-one to the eigenvalues of a certain Ermi operator. If this conjecture is true, then the Riemann operator should be a special random Ermi matrix. 】

[During the Max Planck Society's tea time, I had a serious discussion with Professor Klitzing of the Institute of Physics, and we were both taken aback by our findings. 】

[Surprisingly, such a purely mathematical problem as the Riemann ζ function can be related to quantum mechanics!] Afterwards, I communicated this issue with Edward Witten in an email, but unfortunately nothing useful came out of the discussion. 】

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

The index finger slid lightly over the traces of the folded corner, and Lu Zhou, who gently put down the note, gradually began to show a trace of shock on his face.

It's not just Montgomery and Dyson Professors......

Professor Faltins, who was far away in Germany, also noticed the projection of Riemann ζ functions in quantum physics, and even talked about this problem with another old friend of his , Professor Klitzing, and Edward Witten, a leading figure in the field of theoretical physics.

Unfortunately, although they are all aware of the inextricable connections, they have not succeeded in unearthing the secrets behind them.

What does this mean exactly?

If the non-trivial zeros of the ζ function correspond to the energy level of a quantum mechanical system, and the whole of the nontrivial zeros corresponds to the energy spectrum of the quantum mechanical system, the Hamiltonian of this system is called the Riemann operator, if the Riemann conjecture is true...... What kind of mysterious quantum mechanical system will correspond?

Conversely, if we can find an Ermi operator corresponding to the nontrivial zero point of the Riemannζ function in the entirety of a eigenvalue, or more generally, find such a "Riemann system", does it also mean that the Riemann conjecture can be proved from the perspective of physics?

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

Although he prefers to uncover the physical meaning behind the Riemann hypothesis through purely mathematical research, this does not prevent him from being shocked by what is before him and the tip of the iceberg that has been revealed from the unknown mystery.

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

In the distant nineteenth century, there was no quantum mechanics, but there was a function that could echo it from afar......

At this moment, the mobile phone placed on the corner of the table suddenly rang, interrupting Lu Zhou's thoughts.

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

Just as he was about to say "Hey" impatiently, the person on the other end of the phone spoke first.

With a bit of embarrassment, the man on the other end of the line coughed lightly.

“…… That, Academician Lu, do you remember me? ”

Aishang mobile phone reading address: