The top student must be diligent.

Chapter 286 Mathematical God
When Manuel sent the bombshell news to the discussion group of their Prime Number Pioneer Project, it attracted the attention of many mathematicians who were still online almost immediately.

Of course, such news really forced them to pay attention.

Riemann hypothesis, was it really proven like this?

This really caught them off guard.

For a moment, the entire discussion group was filled with question marks and exclamations.

[What did you say? Manuel! Xiao Yi has proved the Riemann hypothesis? ]

[Manuel has already sent you the URL, so don’t ask so many questions. I have already checked it and it is real.]

[It was actually Xiao Yifa! Five papers in total! What a gift, he really did it! ]

[This is really... too unbelievable]

[So, the Prime Number Pioneer Project has failed? How far have we studied it now? I'm afraid we haven't even studied it to the beginning, and he has already succeeded! ]

[Is he really a human? Is our opponent really a human? ]

[How about we think positively, what if his proof is wrong? ]

[Well... your idea is quite optimistic, but the problem is, that is Xiao who has never been missed! ]

[Yes, that’s Xiao! ]

……

"Yes, that's Xiao Yi."

In the Department of Mathematics at UCLA, Terence Tao sat in his office, looking at the messages in the discussion group, and couldn't help but sigh.

Could Xiao Yi be wrong?
No one knows, maybe it will be wrong next time, maybe it will be wrong this time.

But it has never been wrong before, and they must not judge something that has not happened yet.

It's like quantum mechanics.

Things that have not happened are in a quantum superposition state and cannot be observed.

Therefore, now they can only assume that Xiao Yi is right.

This is unlike the previous mathematicians who also announced that they had successfully proved the Riemann hypothesis.

Although those who announced their successful proofs before also had great reputations in the mathematics community, such as Sir Atiyah ten years ago, who was considered the greatest mathematician of the last century and a top mathematician on par with Grothendieck, this top mathematician also claimed that he had proved the Riemann hypothesis, but most people did not believe it.

Of course, the main reason for disbelief is that the paper of this top mathematician is only a few pages long, so it is naturally not easy for people to believe it.

But now it has become Xiao Yi's turn, especially since there are five papers. Although one of them, the analysis of elliptic recurve, has been published before, the remaining four papers do not seem simple at all.

"Atin guessed..."

Terence Tao sighed.

Xiao Yi really chose this method to prove it.

Unexpectedly, it made sense.

He was able to think of it based on Ating's conjecture, and Xiao Yi must have been able to think of it as well.

However, he believed that he did not have the ability to achieve this step, so he ultimately only dabbled in this direction and did not waste too much time on it.

But for Xiao Yi, he is fully capable of achieving this.

He gave a wry smile.

So, is it mainly because I am not as courageous as before?

I don't even dare to try this.

He let out a long sigh. Sometimes he felt that he was still quite young, but in fact, he was still old.

"Okay, then let me see how you complete the proof."

Without further ado, he looked at the web page again and downloaded all the papers.

Then he looked at the first of the four latest papers.

Probably, it is also the most important paper in the entire proof.

"High-dimensional modular curves..."

Thinking about the name, Terence Tao was able to quickly guess that this high-dimensional modular curve is a variant of the modular curve.

"So, this is a new concept of geometry?"

Terence Tao thought in his heart.

Then he said nothing more, clicked on the paper and entered the PDF page.

In his past research in this direction, he had been able to determine that if he wanted to use the analytical method of elliptic inflection to prove Artin's conjecture, some new concepts might be needed.

This stems from his mathematical intuition.

When considering the elliptic properties of the analysis of elliptic inflection, he also thought of modular curves.

However, because his actual research had not yet reached such an in-depth level, he ultimately did not give it much thought.

And now, Xiao Yi's paper is undoubtedly telling him that his original idea was correct.

This actually made him feel a little bit comforted.

At least I was able to think about this at the beginning.

However, the generalized modulus curve given by Xiao Yi...

What does it look like?
He finally started to look at the paper formally.

He had already finished reading the paper on the analysis of elliptic inverse curves, and had basically mastered the content.

The things that he has not mastered yet are probably the difference between his thinking and Xiao Yi's thinking. Such things are basically impossible to master unless everyone else becomes Xiao Yi.

So, how did Xiao Yi come up with the idea of ​​working on the model curve?

But before the mystery was solved, something else attracted his attention.

"Extended L-functions?"

The generalized modular curve had not yet come out, but the new L-function constructed by Xiao Yi surprised Tao Terence.

“I can actually think of such a method!”

This new L-function directly solved the first problem he encountered.

"Weiyiweiyi...Hasse-Weil L-function! Why didn't I think of this before?"

But then, his expression fell again. Even if he had thought of this at the beginning, could he construct this extended L-function based on the Hasse-Weil L-function?
This is not necessarily true.

A slight difference in thinking can lead to huge differences in the end.

He shook his head and thought, forget it, there is no point in thinking about such things. After all, he hasn't even taken the first, most critical step.

Turn around and continue looking down.

The most important thing about this extended L-function is that it solves the problem that the original Hasse-Weil L-function cannot capture all the arithmetic properties of the elliptic curve E very well, especially some geometric structures, such as some cycle classes on E. Therefore, it is necessary to update the Hasse-Weil L-function.

The extended L-function created by Xiao Yi undoubtedly achieved this goal very well.

Looking at the construction process given by Xiao Yi in the paper, Tao Zhexuan was more and more surprised, and his mouth was always open.

Then, he couldn't help but take the draft paper from the side and started writing according to these steps.

[L(s,E,)=∏(p) 1/det(1-Frob_p p^(-s)| H^1(E,Q)_sp)】

……

Just like that, the ten-page paper was turned over.

After finishing reading this part, Terence Tao had a lot of draft papers on hand.

At this moment, his eyes were bright and he even wanted to applaud the construction process of the extended L-function.

This is absolutely wonderful!

He felt that this was definitely the best mathematical derivation he had ever seen.

This process was even less exciting than when he watched Xiao Yi prove other conjectures.

This can be regarded as Xiao Yi's masterpiece!
The logic and reasoning in every part are so rigorous and just right.

For a mathematician like him, this is simply a pleasure!
"So, he has been making progress over such a long time."

Tao Zhexuan couldn't help but sigh in his heart.

How can someone keep improving?
He simply couldn't imagine it.

But then, he suddenly thought that this paper should not be called "Discussion on Extended L-Function", but "Discussion on High-Dimensional Modular Curves".

Therefore, the modular curve is the focus of this paper!

If that’s the case, then he will be able to see a more exciting derivation process later on?
He immediately became more excited about what was to come.

Now, his attitude towards this paper has changed from studying to appreciation.

There is no way to learn it anyway. This way of thinking is unique to Xiao Yi. Others cannot learn it even if they want to.

So, now he just wants to appreciate this paper as a work of art, a kind of work of art that can only be appreciated by mathematicians.

Ok……

Probably it has to be a mathematician like him who is already at the top of mathematics.

This kind of artwork is even more difficult to understand than abstract paintings.

Similarly, everyone can see a painting, but not everyone can see a mathematical paper.

But before that, he expressed his thoughts in the discussion group of the Prime Number Pioneer Project.

[This is an extremely outstanding work of art. I hope every friend can find a corner that can inspire their own inspiration in this paper. ]

Afterwards, he stopped reading and completely immersed himself in appreciating the paper.

Moreover, when he thought about the three more papers to come, he became even more excited.

……

In fact, for the vast majority of mathematicians in the Prime Number Pioneer Project, Xiao Yi's paper really gave them too much shock.

Just as Terence Tao wished, he hoped that each of them could find the part in the paper that resonates with them.

As a result, they all found the mathematical derivation process in this paper that made them feel extremely happy.

To put it a little crudely, the feeling is as if S came out.

Just like that, in the next few days, these top mathematicians were all immersed in Xiao Yi's papers. Even if they needed to attend classes, they would directly arrange for their students to attend, or simply take leave, as they did not want their thinking to be interrupted by classes.

Probably, for at least the next week, the entire mathematics community will be stuck in such a brief stagnation.

……

However, the mathematics community fell into a stagnation, but for other circles, this news was a complete explosion.

After all, this incident itself has gone viral, and basically everyone in the world knows about it.

Especially as the US President has expressed his concern about this matter, it has attracted even more attention.

Similarly, the website of the Prime Number Pioneer Project has also been attracting attention.

Therefore, people basically know that the Prime Number Pioneer Project is still a long way from truly proving the Riemann hypothesis.

As for Xiao Yi...

Because he has never announced his progress, people have never paid too much attention to it. Most of them are just guessing where Xiao Yi's proof has reached.

Of course, considering that the Prime Number Pioneer Project has so many top mathematicians, including many Fields Medal winners and a number of internationally renowned figures, people are generally optimistic and believe that no matter how capable Xiao Yi is, his progress should be about the same and there will not be much difference.

In addition, various media claimed that Xiao Yi did not announce his research progress in order to cover up the fact that his research had made almost no progress, which also misled quite a number of viewers.

The result is now...

Suddenly news came out that Xiao Yi had completed the proof?

Are you really not kidding?
But with various screenshots, Xiao Yi's website, and various other news about the Prime Number Pioneer Project, people finally had to start believing that this was true.

Suddenly, people all over the world fell into madness.

On almost every international communication platform, you can see netizens discussing this issue.

Whether it's on X, YouTube, Facebook, Paper Plane, etc., all of them are filled with news about this incident.

Countless netizens abroad were all extremely shocked.

[Wang Defa? Has the Riemann hypothesis really been proven? Isn't it said that this is the most difficult problem in mathematics? How come it was solved so suddenly? ]

[Yes, this is true. I have seen that website. You can search it yourself. The website is riemanhypothesis.cn. There are five papers on this website, all of which are Xiao Yi's papers. You can even jump directly from this website to Xiao Yi's personal website. As for those five papers, they add up to more than 400 pages. I don't think they are all made up. To be honest, you may not understand them if you click on them.]

[Oh! Damn! Why is this Chinese so smart! ]

【Don't you know? Every Chinese person knows math! If you walk down the street with $500, and then find a random Chinese person, and tell him that as long as he can solve a super difficult math problem, he can get the $500, he may easily take the $500 from you. 】

[Houlixiete, don't the Prime Number Pioneer Project have so many top mathematicians? Where have they been so far? Why haven't they successfully proved it yet? It's really shameful! ]

[If you can do it, go for it. If you can't, don't talk nonsense. This is the Riemann hypothesis, not 1+1, idiot.]

[Does it need to be able to cool if I want to evaluate a refrigerator? ]

[I mean, is there a possibility that Xiao Yi's proof is wrong? ]

[This possibility of yours has been conceived by countless people, and it has often been considered by people in the past, but without a doubt, the final result is that Xiao Yi's proof is correct.]

[Really? I don’t believe it. I don’t believe anyone can prove the Riemann hypothesis so quickly, not even God.]

[That's because you haven't really seen God. To be honest, Xiao Yi is now the God of mathematics! The God of mathematics!]

(End of this chapter)