The top student must be diligent

Litchman breathed a sigh of relief.

But Maynard continued, "Fortunately, you completed the defense yesterday, otherwise, just now, the value of θ was pushed to 0.75, and the results of your graduation thesis are now outdated."

"Walter??" Lichtman was sweating profusely.

Chapter 86 He did it

The doctoral thesis must be new enough, especially for doctoral students at Oxford University.

So if Lichtman's thesis is completed after today, then when the thesis is submitted to the academic committee for review, his thesis may not pass.

Therefore, for Lichtman, after hearing the news, of course, he broke out in a cold sweat.

Fortunately, with Maynard's reminder, he completed the defense the day before.

In the end, he got Maynard's signature as he wished, and successfully completed his student days.

However, for Maynard and other students, they still don't understand why their professor suddenly criticized Fermat today.

Maynard even made a similar statement on his social account, which also attracted the attention of other well-known mathematicians in the world, especially many mathematicians who were engaged in analytic number theory, who had a good relationship with Maynard. When they saw him complaining about Fermat, they all asked.

However, before Maynard could explain, international mathematicians gradually learned what happened.

There were more than 300 Chinese mathematicians who attended Xiao Yi's report, and there were many mathematicians who also enjoyed a certain reputation in the world.

So, the news about this report quickly spread out of the country and spread to the world.

Did the Chinese mathematical genius solve the mysterious functor problem left by Grothendieck?

He also completely algebraized the far Abelian geometry, and then achieved a close connection with the automorphic form in number theory, which will have a great effect on solving a series of related problems?

He even demonstrated it on the spot, pushing the distribution level θ of prime numbers directly to 0.75?

You know, since the Bombieri theorem in the 1960s, no one has ever been able to push the value of θ forward by 0.1 at once, let alone the current 0.1 or above!

In the world record of the 100-meter race, Bolt only broke through 9.63 seconds to 9.58 seconds, which is not even 0.1.

What's even more outrageous is that Xiao Yi actually claimed that he wanted to prove the Elliott-Halberstam conjecture?

What an international joke!

Hearing these increasingly exaggerated news, a considerable number of mathematicians thought that this was a rumor from the Chinese mathematics community and did not believe it at all. As for the video of Xiao Yi's report, most international mathematicians were not interested in it, after all, they could not understand it.

However, at this time, a top Chinese mathematician spoke up.

After watching the video of Xiao Yi's report, Qiu Chengtong posted a message on his social account.

[Xiao Yi's conclusion is likely to be correct. The specific results need to wait two days to read his paper before a conclusion can be made. 】

As a great mathematician with a high status in the mathematics community, Qiu Chengtong's words immediately eliminated a large number of doubts.

After Qiu Chengtong, more mathematicians from China stood up to testify for Xiao Yi's report.

Of course, if all of them were Chinese mathematicians, the credibility might not be so high, but as James Maynard also stood up and published a statement on his personal social account: [I can also confirm that Xiao Yi's conclusion is completely credible. He had an email exchange with me some time ago. In the email, he has shown his deep thinking about this conclusion, so his idea is likely to be correct. We just need to look forward to his paper in two days. 】

As the current top expert in analytic number theory, Maynard's statement caused an uproar in the entire mathematics community. Even Professor Bombieri, a five-star general in the United States and a master of analytic number theory, said: "Yes, Maynard is right. In fact, when Xiao Yi was at the Max Planck Institute of Mathematics, he also mentioned his thoughts in this regard to me, Deligne, Faltings and Schultz. Therefore, I am optimistic about the conclusion of Xiao Yi's report."

Good guy, who would have thought that, let alone Qiu Chengtong, Maynard's statement directly involved the platform of four Fields Medal winners, plus Qiu Chengtong, that is a total of five.

Now I have to believe it.

As a result, the original voices that still expressed doubts immediately disappeared, and what turned into a discussion of Xiao Yi's conclusion by the entire international mathematics community.

That night, a Chinese mathematician translated the content of Xiao Yi's report into English and put it on major platforms.

Later, more mathematicians in number theory and algebraic geometry began to join the discussion.

In the end, they came to an almost unanimous conclusion: Xiao Yi's conclusion was very likely correct.

Suddenly, the entire mathematics community began to get excited. Anyone who understood Xiao Yi's conclusion knew that this result would benefit many other mathematicians who were studying this topic. They would be able to directly apply Xiao Yi's conclusion to make a huge breakthrough in their topic progress, or even complete it directly!

So, quite a number of mathematicians couldn't sleep.

They stayed in front of their computers, constantly refreshing the paper by Yi Xiao under the mathematics field of the arxiv website.

In this way, two days passed.

…

In the cafe in the Institute for Advanced Study at Princeton.

Enrico Bombieri and Pierre Deligne sat together, with a notebook on the table in front of them.

The page on the notebook was the page of arxiv.

Bombieri was also waiting for Xiao Yi's paper.

While drinking coffee, he occasionally pressed the F5 key on the keyboard to refresh the interface on the screen.

"It's been a long time since I've been looking forward to a paper like this."

Bombieri said with emotion.

Deligne laughed: "Who isn't?"

He turned his head and looked at the other people in the cafe. There were many mathematicians among them, and among these mathematicians, there were also many people who were like them, holding electronic devices and constantly refreshing the arxiv page.

At this moment, someone suddenly exclaimed: "Got it! The paper is published!"

Bombieri put down the coffee cup with a snap, and then pressed F5, the page refreshed, and then two papers appeared.

"Automorphisms of Algebraic Clusters under the Etale Fundamental Group"

"Far Abelian Geometry and Elliott-Halberstam Conjecture"

Author name, YiXiao.

Without waiting, Bombieri downloaded the two papers and started reading from the first one.

About an hour later, he closed the first one and looked at the second one.

Until the end, the master of analytic number theory who had made the first breakthrough in the Elliott-Halberstam conjecture showed some emotion in his eyes, and finally said calmly: "He did it."

...

Chapter 87 Excitement in the Mathematics Community

"He did it?"

Hearing Bombieri's words, Deligne, who had been taking a nap with his eyes closed, opened his eyes, turned his head and looked over, and asked.

"In my opinion, he did it." Bombieri nodded and exclaimed: "These are definitely two very beautiful papers."

"Each step is very detailed. Although I read it quickly, I can basically be sure that they are all correct."

"And just as we evaluated at the beginning, he also has mathematical thinking that most other mathematicians do not have. At every key step, he can always complete the advancement in a way that we can't imagine. Every advancement is always so efficient that people can't imagine it before reading it, but after reading it, they can only be amazed."

"It makes me think, is the brain structure of these young people different from ours?"

Bombieri's praise made Deligne raise his eyebrows, "This is really a very high evaluation."

"You will understand after you read it." Bombieri said with a smile.

Deligne laughed: "Anyway, you just read it and get the result. It's enough to know that his conclusion is correct."

He didn't read it just now, just waiting for Bombieri to tell him the result.

Bombieri shook his head and said, "No matter what, I still recommend you to read his paper, even if it is to appreciate a piece of art made of mathematical words."

"Really?"

Hearing what Bombieri said, Deligne became interested: "Then it seems that I really have to read it as soon as possible."

Bombieri said, "You won't be disappointed."

Deligne nodded and decided to take time to read it in the next few days.

At this time, the originally quiet little coffee shop gradually became noisy, and many mathematicians from the Princeton Institute for Advanced Study had finished reading it.

The discussion gradually sounded, and there were many exclamations.

"He must be right, I didn't find any mistakes, and his process is very detailed and easy to understand."

"Yes! I think so too, he is right."

Until the end, several people walked to Bombieri's side and said, "Professor Bombieri, do you think those two papers are correct?"

Bombieri smiled and replied, "My conclusion is the same as yours, completely correct."

...

Oxford University

"Yes, yes, that's right." James Maynard was looking at the paper on the screen, and he was calculating according to the content of the paper with a pen in his hand.

His eyes were full of excitement.

[MQ^5/2R^3/x^(115)...]

[x^(1/3)/M^(1/3)≤N3≤x^3/7+...]

"Then we can get that for every \u003c1 and A\u003e0, there is a constant C\u003e0, so that for x\u003e2, there exists Σ_(1≤q≤x^θ)E(x;q)≤Cx/log^Ax!"

“The Elliott–Halberstam conjecture has been perfectly proved!”