Qiao Yu didn't quite understand everyone's complicated thoughts. Mainly because he didn't have time to think about it.

He didn't even bother to post a comment on Weibo. Mainly because the paper hadn't been reviewed yet, and also because the paper was being reviewed.

Really, Qiao Yu felt that his temper had been very good these days and he almost wanted to quarrel with others.

Yes, the review mode this time is obviously different from that of previous papers.

Not only did he need to communicate directly with the reviewer via email, the other person even proposed to review the review directly via video conference so that he could answer some questions directly.

That's all, but due to the time difference, not everyone is present in every video conference and Qiao Yu can understand it.

But there are twelve reviewers, and he is only one!

That is to say, other people in each video conference can be partially offline, but he must be online, otherwise there will be no discussion.

And how could those reviewers have so many weird questions?

Not to mention his paper proving the Riemann Hypothesis, just the prerequisite paper - "Geometric Mapping of the Riemann Hypothesis under the Generalized Modal Axiom System" has been raised by these people with a lot of questions.

Starting from the first lemma of this paper: the geometric consistency of the modal density function, to the first theorem: the geometric correspondence between the zero point of the Riemann zeta function and the modal path...

Qiao Yu didn't even know what those big bosses were thinking in their heads. They asked a lot of questions.

Just the process of proving the first theorem of the preliminary thesis raised countless questions.

From the regularity of modal density, to the construction method and the natural derivation of the ζ function, to the uniqueness of the modal path, pseudo-zero points, multiple zero points, to distribution characteristics, low-dimensional models, special case discussions...

Especially James Maynard, who had the most questions and attended every meeting! It felt like he didn't have to sleep.

No, not only do you not have to sleep, but all your time is spent discussing in video conferences. How can you find time to review manuscripts? Not to mention that you don’t have to work on a daily basis? Didn’t we agree that the bosses are all busy?

Where do these reviewers find the time to chat with him every day?

But everyone is smart, and within two days, Qiao Yu figured out that something was not right.

Are these reviewers just reviewing manuscripts? Are they trying to squeeze out all the thoughts and thinking processes about generalized modal space theory from his mind in this way?

It's simply... too much!

After thinking about it, Qiao Yu did not hesitate to complain to his grandfather next to him: "Master, I don't think this is reviewing manuscripts. This is clearly asking me to go through all the details of the two papers from conception to proof.

, can the review be done this way?

Are they bullying me for being young? I don’t understand the rules. I have never done this before when I sent papers for review. At most, the reviewers would ask questions in their mailboxes, and then I would give explanations and then send them back. Why do I have to say this?"

When Qiao Yu protested like this, he specially selected an online meeting where all the people were present, and seven of the twelve reviewers were online...

Yes, Qiao Yu protested in front of the reviewers, and he spoke in English.

Although these reviewers are all big guys, my elders are also big guys, not to mention that not all of the reviewers have won the Fields Medal, but my grandfather also won the Fields Medal...

The most important thing is that Qiao Yu just wants to watch these so-called seniors bullying academic newcomers through the screen. Doesn't his conscience hurt?

It's a pity that he was disappointed.

As expected, the bosses all had no sense of martial ethics, and no one was unusual at all. They even took the initiative to explain to Yuan Zhengxin next to him.

"This is not to embarrass you, but to speed up the review process, Qiao Yu! After all, you have used many new methods. Especially the axiom system you created yourself, which is very novel. Therefore, this method must be used to review the paper as quickly as possible.

.

Moreover, these explanations of the proof details of the paper will help the academic community understand your ideas more clearly. This is also very important for the promotion of the entire system in the future. We believe that you have created an axiom system, and we hope that there will be more

People should learn how to use it, right?”

These words were said by James Maynard. Qiao Yu suspected that because this big boss had also been studying the Riemann Hypothesis, he specifically came to trouble him.

It's a pity that even Yuan Zhengxin supports the other party.

"Qiao Yu, Professor Maynard is actually right. It is normal for everyone to have some troubles with the new theory. This kind of direct communication to resolve doubts can speed up the review process.

It can also be regarded as a promotion of the new method. It can also give you some inspiration. The Riemann Hypothesis is not the end. For the prime number problem, it is not completely solved by a Riemann Hypothesis.

Moreover, this discussion process also supplements some details of the generalized modal axiom system. The questions raised by the professors are all difficulties in the promotion of this system in the future. It will not be short of meat to talk about it.

During this process, you can also think deeply about how to make deeper predictions and extensions to the distribution of prime numbers based on this conclusion. Come on, hurry up and finish discussing the qualifications. Grandpa will take you to eat lamb legs at noon.

Take good care of it.”

When Yuan Zhengxin said these words with a kind face, Qiao Yu knew that struggling was useless. It was better to enjoy it - enjoy the fun of giving lectures to a lot of big guys.

The way to enjoy it is also very simple. From time to time, I will say: "Man can't be so stupid..."

Then he pretended to react quickly and said: "I'm sorry... I didn't mean to say you are stupid, it's just too obvious. I just accidentally..."

The main character wants to doubt life, and everyone should be together. There is no way that the boss will care so much with a young man like him...

Of course, the big guys are not stupid, and they are more adaptable than ordinary people.

The first time I heard such words coming from Qiao Yu's mouth, there was a moment of silence, and even a look of disbelief, but I quickly got used to it.

Some people may even reply humorously: "Young man, you are still too young. When you reach our age, you will know that your brain cells will not regenerate after they die."

In short, the main focus is to hurt each other.

The benefits are also extremely obvious.

Qiao Yu's relationship with these world-class bigwigs grew quickly, and they became familiar with each other quickly. And they were as familiar as if they were friends with each other.

The big guys are used to Qiao Yu's high-spiritedness, and Qiao Yu is also used to these big guys' extremely rigorous academic attitude and shameless attitude towards pursuing an issue.

Time passed like this day by day.

The noise in the outside world gradually began to quiet down. Except for a few people related to Qiao Yu in the mathematics community, few people were concerned about this issue.

After all, mathematics is actually far away from ordinary people. In the words of many people who have no interest in mathematics, it is enough to be able to add, subtract, multiply and divide in life. Do you need to be able to solve quadratic equations in two variables to buy food in the supermarket?

This is probably why many people admire mathematicians, but mathematicians are not well-known.

It’s impossible to understand those daunting math problems. If you have that time, it’s better to focus on more fun things. The goddess of mathematics cannot reach high, but gossiping about celebrities is still very interesting.

Then again, the progress of this paper review method is still very fast. Each proof process is explained and argued over, and it will be clear whether there are any loopholes in the logic.

For Qiao Yu, two months passed without even realizing it, and the weather gradually got hotter.

During the two important festivals of May Day and June 1st, Qiao Yu couldn't even give himself a day off, even if he was practicing in seclusion, it would be so miserable.

Although there are not so many people here every day. The bosses are still busy with various things, but there are still people who can spare time every day.

Not only the reviewers, but also their students, and occasionally Lot Dugan will appear. However, the editor-in-chief usually does not speak and just listens.

People are very tired, even a little numb.

But there are definitely gains. After an extremely detailed discussion with many independent reviewers, eight of the twelve reviewers have approved this paper.

The remaining four are not nitpicking, but are still making some technical arguments about the uniqueness of the mapping between modal space and the complex plane and whether the information is comprehensive.

This uniqueness is very important, after all, ambiguity will lead to uncertainty in the distribution of zero points. Especially if the mapping F is not bijective, it may cause information loss or even false zero points.

This question was raised by James Maynard, Peter Schultz and Tao Xuanzhi.

He couldn't even blame these three big guys, because they directly used the geometric Langlands conjecture as an example.

Qiao Yu originally found counterexamples from that little loophole, so the four big guys who have not yet approved the paper also hope to find counterexamples in this way.

Well, for Qiao Yu, this is indeed a very annoying thing. He doesn't really care about whether he can finish the paper before the World Congress of Mathematicians. He mainly wants to stay in Huaqing every day to discuss these mathematical theories with a bunch of old men.

Too boring...

Most of the semester is almost over, and he has finished a paper without doing almost anything. The sunk cost is too high...

After all, if he couldn't handle these guys, he wouldn't be able to get the bonus from the Clay Institute. And if he spent his time on the computing platform, he might be able to start making profits by now.

So while the other party was looking for counterexamples, he was also thinking of ways to make up for this small loophole that was picked out through logic.

Fortunately, the problem was not big. Qiao Yu spent a week completing the proof process of this part.

The main purpose is to prove the injectivity and surjectivity of the mapping f, and to verify the uniqueness, completeness, and symmetry of the inverse mapping f^-1, showing that f and f^-1 are logically consistent and mutually exclusive.

No information is lost during this time.

The paper also adds a uniqueness theorem: If the modal space M is a complete high-dimensional continuous space, and the mapping f:M→C is defined by the regular characteristic function g(r), then f is a bijection, and exists

The only inverse mapping f^{-1}:C→M, this mapping does not lose any modal space information.

And took the initiative to initiate a video conference at 9pm on June 18th.

The other side was also very generous. Nine reviewers came. Although the other three reviewers were busy, they also invited collaborators to observe, and then directly skipped the main proof process.

Then he threw out a sentence: "Dear reviewers, I believe that this proof process has perfectly filled the uniqueness loophole that you have questioned!"

Qiao Yu was angry when he said this. After all, he had praised Haikou in front of Tian Yanzhen and Mr. Yuan before, and his proof was flawless.

In the end, it turned out that it didn't seem to be so flawless. The fault was still picked out. Fortunately, it was not the kind of fault that needed a year and a half to be verified, otherwise his little face would have nowhere to put it...

Everyone began to study Qiao Yu's proof process seriously.

About ten minutes later, Tao Xuanzhi was the first to speak: "I have no problem. This proof process is actually similar to what I thought."

After saying that, Tao Xuanzhi probably felt a little embarrassed just saying this, so he simply uploaded some of his previous manuscripts to the conference room.

Qiao Yu took a look at Tao Xuanzhi's proof process and felt much better. Well, it seems that these reviewers are really not picking on his faults. Some people are looking for counterexamples and are thinking about how to help him fill this small loophole.

Although they are similar, Tao Xuanzhi's ideas are somewhat different from his.

For example, Tao Xuanzhi first assumed that the modal space M is compact, but its local structure may allow multiple modal paths Γi to overlap or intersect. That is:

Then by restricting specific constraints, f can be made globally unique. However, Qiao Yu feels that Tao Xuanzhi's method is still too complicated, and there is an additional process from local to global...

After a while, Peter Schultz and Pierre Delini also nodded and approved Qiao Yu's proof.

Finally, James Maynard also took off his glasses, turned on the microphone and said: "Okay, I have no problem anymore. Congratulations, Qiao Yu, you proved the Riemann Hypothesis!"

Lot Dugan, who had been listening in, laughed, and then turned on the microphone: "Well, it seems that all the reviewers have no objections, so I will add this proof process to the paper.

Thank you to all the reviewers for your support. Annals of Mathematics plans to publish a special issue on Qiao Yu’s paper! We also thank Qiao Yu for supporting us! Everyone has worked hard.”

To be honest, Lot Dugan was very excited at this time.

The paper that proved the Riemann Hypothesis was finally published in the "Annals of Mathematics".

"Wait...I still have some ideas about that." Just when everyone breathed a sigh of relief, Qiao Yu suddenly said.

Everyone's eyes were focused on Qiao Yu, although it was through the camera.

Especially Lot Dugan, he was even a little nervous.

"After these days of thinking, I have come up with three new conjectures, which I hope to add to the paper." Qiao Yu said with a wink.

"Tell me about it," Lot Dugan said immediately.

"The first one is the prime number gap symmetry conjecture. The specific description is that within an arbitrarily large range of prime numbers, the distribution of prime number intervals has some kind of symmetry.

That is to say, there is a natural number N and a symmetric function f(x). For all pairs of prime numbers pn, pn+1 satisfies:

After finishing speaking, before everyone could react, Qiao Yu continued: "The second one is the conjugate conjecture between the prime number and the modal zero point. There is a conjugate relationship ψ(zn) between the zero point zn on the modal path Γ and the prime number p.

=p, satisfies:

"The third is the high-dimensional prime projection conjecture. For any prime number p, there is a high-dimensional mapping Φ:N→R^k (k≥3), such that in a specific subspace, the distribution of prime numbers satisfies: ‖Φ(pn

+1)Φ(pn)‖=f(n), and f(n) is a recursive or periodic function.”

Mr. Yuan told him specifically, and Professor Zhang Shuwen also told him that time that mathematicians should not only be good at solving problems, but also be good at asking questions.

So in addition to discussing the paper with these reviewers these days, Qiao Yu also raised these three questions.

To put it bluntly, these three questions are still related to the distribution of prime numbers. This is also Qiao Yu's original intention to study prime numbers.

If all three conjectures can be proven, then we will definitely be able to master a method of quickly finding prime numbers through the tools that solve these three problems. No matter how big the prime number is, it is very practical.

Especially the first conjecture, if it can be solved, the twin prime conjecture will basically be solved.

Of course, these are also conjectures put forward around the generalized modal axiom system.

From this point of view, Qiao Yu can be regarded as satisfying the ideas of these mathematics masters to carry forward the generalized modal axiom system.

As for the paper passing review...

For Qiao Yu, this is a trivial matter. After all, he has always believed that his proof process was flawless! If he fails, someone must be coveting his results.

Fortunately, this did not happen! Of course, if you think about it carefully, it is unlikely to happen.

After all, the method he used was so novel that no one but him could prove it.

…

After a period of silence in the conference software, Lott Dugan spoke up: "Okay, Qiao Yu, you almost scared me just now. You can put these conjectures in the final summary of the paper. But as soon as possible, I have

Can’t wait to announce this news.”

Full of goodwill.

After all, Lot Dugan still wants to get Qiao Yu to come to Princeton as a professor. Although Qiao Yu's current academic qualifications are still in question.

Really, Lot Dugan felt that Tian Yanzhen and Yuan Zhengxin were too old-fashioned. He simply couldn't imagine that Qiao Yu was still an undergraduate.

Even at Princeton, which has always been known for its rigorous graduation, Qiao Yu can get a doctoral diploma with his current achievements, and no professor will have any objections.

A diploma from Yanbei University will never be more difficult to obtain than a diploma from Princeton.

"Don't worry, Professor Dugan, I write and revise papers very quickly. You can receive them today."

Qiao Yu replied immediately.

He was really not in a hurry to get the paper published, or for the honor of the special issue. The main thing was that he really didn't want to stay in Huaqing anymore.

It's okay to play the good boy once in a while, but being controlled every day is a headache. It would be more free to stay at Yanbei University, where he can do whatever he wants.

After all, he is only seventeen years old now, which is the age when he is rebellious! He has to be given a chance to do something. Talking to a bunch of old guys about mathematics every day is going to be boring to death.

Young people just need to be bold...
Chapter completed!