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Chapter 188 is finally reviewed!

Chapter 188 is finally reviewed!
Qiao Yu didn't quite understand everyone's complicated thoughts, mainly because he didn't have much time to think about them.

He was even too lazy to brag on Weibo, mainly because his paper had not been reviewed yet, and also because it was being reviewed.

Really, Qiao Yu felt that he had been in a very bad temper these days and even wanted to have a quarrel with someone.

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

Not only did he need to communicate directly with the reviewer via email, but the reviewer even suggested that he review the manuscript via video conference, which would allow him to answer some questions directly.

That would be fine, but due to the time difference, not everyone was present in every video conference, which Qiao Yu could understand.

But there were twelve reviewers and he was the only one!

That is to say, in every video conference, other people can be offline for some time, but he must be online, otherwise there will be no discussion.

Besides, why would those reviewers have so many weird questions?

Not to mention his paper proving the Riemann hypothesis, just his prerequisite paper, "The Geometry Mapping of the Riemann Hypothesis under the Generalized Modal Axiom System", has been questioned by these people.

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 zeros of the Riemann zeta function and the modal path…

Qiao Yu didn't know what those big guys were thinking about, so he asked a lot of questions.

The process of justifying the first theory of the previous paper alone raises countless questions.

From the regularity of modal density, to the construction method and the natural derivation from the zeta function, to the uniqueness of modal paths, pseudo zeros, multiple zeros, to distribution distribution characteristics, low-dimensional models, special case discussions...

Especially the one named James Maynard, who asked the most questions and attended every meeting! It was like not having to sleep.

No, not only do I not have time to sleep, but I also spend all my time discussing in video conferences. How can I find time to review manuscripts? Not to mention that I don’t have to work during normal days? Isn’t it agreed that all big guys are busy?

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

But everyone is smart, and after two days, Qiao Yu figured out that something was wrong.

These reviewers are not just reviewing papers, they are trying to squeeze out all the thoughts and thinking processes about the generalized modal space theory in their minds, right?
It’s simply... too much!
After figuring it out, Qiao Yu did not hesitate to complain to his senior teacher: "Grandmaster, I don't think this is a manuscript review. This is clearly asking me to go through all the details of the two papers again, from conception to proof. How can a manuscript review be done this way?

Are they bullying me because I am young? I don’t know the rules. This was never the case when I was reviewing papers before. At most, the reviewers would raise questions in their emails, and then I would give explanations and send them back. Why do you say this? "

When Qiao Yu protested like this, he specifically picked an online meeting when everyone was quite present, with seven of the twelve reviewers online...

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

Although these reviewers are big shots, my elders are also big shots, not to mention that not every reviewer has won the Fields Medal, but my grandfather also won the Fields Medal...

The most important thing is that Qiao Yu just wanted to see through the screen these so-called senior masters bullying academic newcomers like this. Wouldn’t it hurt his conscience?
It's a pity to disappoint him.

The big guys really don't follow the ethics of martial arts. No one showed any strangeness. Some even took the initiative to explain to Yuan Zhengxin next to them.

"This is not to embarrass you, but to speed up the review process, Qiao Yu! After all, you used many new methods. Especially the axiom system you created yourself, which is very novel. So 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 axiomatic system, and we hope that more people will learn and use it, right? "

These words were said by James Maynard. Qiao Yu suspected that this big shot had come to trouble him because he had also been studying the Riemann hypothesis.

What a pity that even Yuan Zhengxin supports the other party.

"Qiao Yu, Professor Maynard is actually right. It is normal for people to have some confusion about new theories. Direct communication and resolving doubts like this can speed up the review process.

It can be regarded as a promotion of the new method. It can also bring you some inspiration. The Riemann hypothesis is not the end. For the prime number problem, the Riemann hypothesis cannot completely solve it.

Moreover, the discussion process is also a supplement to some details of the generalized modal axiom system. The questions raised by the professors are all the difficulties in promoting this system in the future. It won’t be a big help to talk about it.

During this process, you can also think deeply about how to make deeper predictions and extensions on the distribution of prime numbers based on this conclusion. Be good, finish discussing the qualification issue quickly, and I will take you to eat lamb legs at noon to replenish your body. "

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

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

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

The main character is about doubting life, and everyone is together. It is impossible for the boss to care so much about a young man like him...

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

The first time I heard Qiao Yu say these words, I was silent for a moment, and even showed a look of disbelief, but I quickly got used to it.

Some people even responded humorously: "Young man, you are still too young. When you reach our age, you will know the helplessness of brain cells dying and never regenerating."

In short, the main focus is on hurting each other.

The benefits are also extremely obvious.

Qiao Yu's relationship with these world-class leaders quickly became familiar with each other within a few days, and it was the kind of familiarity that they had with each other as peers.

The bigwigs were used to Qiao Yu's lively and lively style, and Qiao Yu was also used to these bigwigs' extremely rigorous academic approach and their shameless attitude in pursuing a problem.

Time passes like this.

The noise from the outside world gradually died down. Apart from a few people in the mathematics community who were related to Qiao Yu, few people cared about this issue.

After all, mathematics is actually far away from ordinary people. In the words of many people who are not interested in mathematics, it is enough to know addition, subtraction, multiplication and division in life. Do you need to know how to solve quadratic equations when buying vegetables in the supermarket?
This is probably why many people admire mathematicians, but mathematicians are not well-known.

Those math problems that make people feel overwhelmed are incomprehensible. If you have that time, you might as well care about something more interesting. The goddess of mathematics is out of reach, but celebrity gossip is still very interesting.

Having said that, this paper review method is still very fast. Every proof process is discussed and argued, and it is clear whether there are any logical loopholes.

For Qiao Yu, two months had passed in the blink of an eye and the weather was gradually getting warmer.

During the two important holidays, May Day and Children's Day, Qiao Yu was unable to take a single day off. Even when he was in seclusion practicing, it was not this miserable.

Although there aren't so many people here every day, the bosses still have a lot of things to do, but there are always people who can spare the time every day.

Not only the reviewers, but also their students, and occasionally Lott Dugan would show up. However, the editor-in-chief usually did not speak, but simply listened.

I'm very tired, even a little numb.

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

The remaining four were not nitpicking, but were still engaging in some technical debates on the uniqueness of the mapping between the modal space and the complex plane and whether the information was comprehensive.

This uniqueness is very important, after all, ambiguity can lead to uncertain distribution of zero points. In particular, if the mapping F is not a bijection, 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 original geometric Langlands conjecture as an example.

Qiao Yu had found a counterexample from that tiny loophole, so the four big guys who have not yet approved the paper also hope to find a counterexample in this way. Well, for Qiao Yu, this is indeed a very annoying thing. He doesn't really care whether he can finish the paper before the World Mathematical Congress. The main reason is that it's too boring to stay in Huaqing every day and discuss these mathematical theories with a bunch of old men...

Most of the semester is almost over, and he has done almost nothing but work on a paper. This sunk cost is too high...

After all, if he couldn't handle these guys, he wouldn't get the bonus from Cray Research. And if he spent his time on the computing platform, maybe he could have started to make a profit by now.

So while the other side was looking for counterexamples, he was also trying to use logic to make up for the small loophole that was picked out.

Fortunately, the problem was not serious. Qiao Yu spent a week to complete the proof process of this part.

The main thing is to prove the injectivity and surjectivity of the mapping f, and verify the uniqueness, completeness and symmetry of the inverse mapping f^-1, indicating that f and f^-1 are logically consistent and there is no information loss between them.

The paper also adds a new uniqueness theorem: if the modal space M is a complete high-dimensional continuous space, and the mapping f:M→C is defined by a regular characteristic function g(r), then f is a bijection, and there exists a unique inverse mapping f^{-1}:C→M that does not lose any information in the modal space.

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

The other party was also very considerate. Nine reviewers came. Although the other three reviewers were busy, they also asked their collaborators to sit in and then directly passed the main proof process to them.

Then he said: "Dear reviewers, I believe this proof process has perfectly filled the uniqueness loophole you questioned!"

When Qiao Yu said this, he was angry. After all, he had boasted in front of Tian Yanzhen and Mr. Yuan that his proof was flawless.

In the end, it turned out that it wasn't so perfect. He still had some flaws, but fortunately they weren't the kind that would take a year or two to verify, otherwise he wouldn't have a good time to show off his face...

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

About ten minutes later, Tao Xuanzhi spoke first: "I have no problem. This proof process is actually similar to my idea."

After saying this, Tao Xuanzhi probably felt that it was a bit awkward to just say this, so he simply uploaded some of his previous manuscripts to the conference room.

Qiao Yu glanced at Tao Xuanzhi's proof and felt much more comfortable. Well, it seems that these reviewers are not really picking on him. Some of them are looking for counterexamples and are thinking about how to help him fill in this small loophole.

However, although they are similar, Tao Xuanzhi's thinking is somewhat different from his.

For example, Tao Xuanzhi first assumes 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 limiting specific constraints, f can be made globally unique. However, Qiao Yu felt that Tao Xuanzhi's method was too complicated, as it had an extra process from local to global...

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

Finally, James Maynard also took off his glasses, turned on the microphone and said, "Okay, I don't have any questions anymore. Congratulations, Qiao Yu, you proved the Riemann hypothesis!"

Lott Dugan, who had been listening, laughed and turned on the microphone: "Okay, it seems that the reviewers have no objection, so I will add this proof process to the paper.

Thank you for the support of all the reviewers. Annals of Mathematics plans to publish a special issue on Qiao Yu's paper! Thank you for your support! You all have worked hard. "

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

The paper proving the Riemann hypothesis was eventually published in the Annals of Mathematics.

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

Everyone's eyes were focused on Qiao Yu, even though they were looking through the camera.

Lott Dugan, in particular, was even a little nervous.

"After these days of thinking, I came up with three new conjectures, and I hope to include them in the paper." Qiao Yu said with a blink.

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

"The first one is the prime gap symmetry conjecture. The specific description is that within an arbitrarily large range of prime numbers, the distribution of prime gaps has a certain symmetry.

That is, there exists a natural number N and a symmetric function f(x) such that for all prime pairs pn, pn+1:

After saying this, before anyone could react, Qiao Yu continued, "The second is the conjugation conjecture between prime numbers and modal zeros. The zero point zn on the modal path Γ and the prime number p have a conjugation relationship ψ(zn)=p, satisfying:
"The third is the high-dimensional prime projection conjecture. For any prime number p, there exists 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 specifically told him, and Professor Zhang Shuwen also told him that mathematicians should not only be good at solving problems, but also be good at raising 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 proved, then we can definitely master a method to quickly find prime numbers through the tools to solve these three problems. No matter how large the prime number is, it will be 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 proposed around the generalized modal axiom system.

From this point of view, Qiao Yu was also trying to satisfy the ideas of these mathematical giants to carry forward the generalized modal axiom system.

As for the paper passing the review...

This was a trivial matter for Qiao Yu. After all, he always believed that his proof process was flawless! If it didn't pass, it must be because someone was coveting his achievements.

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 very novel, and no one could prove it except him.

……

After a period of silence in the conference software, Lott Dugan spoke up again: "Okay, Qiao Yu, you almost scared me just now. You can put these conjectures in the final summary of the paper. But you have to do it as soon as possible. I can't wait to announce this news."

Full of goodwill.

After all, Lott Dugan still wanted Qiao Yu to come to Princeton as a professor. Although Qiao Yu's current academic qualifications were still a problem.

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

Even at Princeton, which is known for its strict graduation requirements, Qiao Yu can get a doctorate degree with his current achievements, and no professor would have any objection.

It’s not going to be harder to get a diploma from Yanbei University than from Princeton.

"Don't worry, Professor Dugan. I am very fast in writing and revising papers. You will receive it today."

Qiao Yu replied immediately.

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

It's okay to act like a good kid occasionally, but being controlled every day is a headache. It's better to stay at Yanbei University where he has more freedom and can do whatever he wants.

After all, he is only seventeen years old, a rebellious age! He must be given a chance to do something. Talking about math with a bunch of old guys every day is so annoying.

Young people just need to let loose...

(End of this chapter)

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