The top student must be diligent.

Chapter 100 Shock in the Mathematics World
After reading this summary, Zhang Yitang couldn't help but feel excited.

If this paper is completely correct, then he already has a hunch that this parity check sorting sieve will definitely provide great help to the Landau-Siegel zero-point conjecture he is currently studying!

"I didn't become a beneficiary of the previous Etale algebraic cluster automorphism theory. Could it be that I will become a beneficiary this time?"

He was thinking jokingly in his mind that last week after the "Annals of Mathematics" announced that Xiao Yi's two papers had passed the review, some of his friends opened champagne overnight to celebrate, celebrating the success of their projects.

Now I never expected that I might become one of those people who open the champagne.

Of course, popping champagne at halftime is a big no-no.

Let’s finish reading this paper first.

Then his expression became serious and he began to read the paper carefully.

Time passed slowly. This paper had a total of 63 pages, and after reading only the first 10 pages, Zhang Yitang's expression had become extremely solemn.

The draft paper appeared on his desk at some point, and he followed the derivation step by step with a pen in his right hand.

【Amn=1/4∑_(|W|^2=m)∑_(|z|^2=n)Q(Re wz)……】

"...where w, z produce their effects through Z[i], taking into account the unit factor 1/4..."

"That's right! Next, we can apply the Cauchy inequality, introduce the smoothing principal function f(W) and the square, and then we can get the boundary sum problem!"

"... and b is an integer with no small prime factors, so we can restrict z1 and z2 to a small polar coordinate box by splitting the parameters..."

"In this way, we can officially take the second step in classifying the number of prime factors of odd and even numbers!"

Zhang Yitang's expression brightened up.

Now he really saw that this paper had the potential to be successful!

And based on the results he has verified so far, there is absolutely no problem with the previous part!

For him, whether the twin prime conjecture is proved is not the most important thing. The most important thing is whether the parity check classification sieve proposed by Xiao Yi is correct!
Because it is related to his own topic.

Of course, he would also be very happy to see the proof of the twin prime conjecture.

Keep looking down.

Time is also passing slowly.

The sunlight outside the window kept changing its angle, from pure golden yellow to gradually turning red.
The sound of wind passed through the green forest, and the afterglow illuminated the sky.

Zhang Yitang finally raised his head and took off the glasses he had been wearing for several hours.

She rubbed her eyes gently until he opened them again.

Although the fatigue in the corners of his eyes could not be concealed, the excitement in his eyes was also evident.

“I can’t find any problem at all!”

This means that, in his opinion, this paper is correct!

Of course, he was also willing to believe that the paper was correct.

After reading the part of the paper about parity check classification sieves, he had already connected it with the Landau-Siegel zero point conjecture he was studying, and substituted the problem he was facing now into it. Just with just a few simple calculations, the real number sequence he was studying could be easily screened and constructed.

Although it does not mean that this will directly help him solve the Langdao-Siegel zero-point conjecture, it is certain that the problem he is facing now will achieve a huge breakthrough.

This alone is enough.

Let’s get back to this paper.

“It’s still so smooth and perfect.”

Zhang Yitang felt a little envious. To be honest, he couldn't write such a detailed paper.

Perhaps due to the lack of energy due to old age, he easily made mistakes even when editing papers.

Thinking of Xiao Yi’s current age, and myself.

He finally sighed and said, "Sometimes people just have to accept their age."

Suddenly, at this moment, there was a violent knock on the office door.

"Professor Zhang, is Professor Zhang here?"

"Please come in." Zhang Yitang looked towards the door.

As the door opened, he saw another professor in their mathematics department, Joey Ayton, running in hurriedly.

Eaton was holding a notebook in his hand, and the screen displayed a paper. He hurriedly said to Zhang Yitang: "Professor Zhang! Xiao Yi's paper has been published! It really is the twin prime conjecture! According to what he said in his abstract, he seems to have really proved the conjecture!"

Zhang Yitang laughed and said, "Joey, thank you for telling me, but..."

He stepped aside and showed his computer screen to Joey Ayton.

Ayton was stunned and said, "So you have already seen it."

Zhang Yitang nodded.

"Well... Strictly speaking, I just happened to see this paper when it was first published. Maybe it was God's arrangement that sent it to me."

For a moment, not being able to hear the joy in Zhang Yitang's tone, Eaton asked: "So do you think the conclusion of this paper is correct? I feel that after this paper is submitted, you may be asked to be the reviewer."

"Hmm..." Zhang Yitang pondered for a moment and joked, "I may not be suitable to be the reviewer."

"Why?" Eaton wondered. Since it was related to the proof of the twin prime conjecture and a more powerful sieve theory, Zhang Yitang could be said to be one of the most suitable reviewers. "Here." Zhang Yitang picked up the draft paper in his hand and showed it to Eaton. "Can you believe it? I just tried it with the parity check classification sieve he proposed, and I solved a difficult problem I was studying on the Siegel zero conjecture."

“So, as a potential beneficiary of this paper, I would be very happy to see it pass the review.”

Ayton's eyes widened in surprise.

In this school, he and Zhang Yitang have the best relationship, and he also studies number theory, so he knows how difficult the problems Zhang Yitang has encountered recently are.

As a result, with the help of this new screening method, Zhang Yitang has now solved this problem directly?
Ayton hadn't read the paper yet, and for a moment he couldn't even imagine it.

“It actually has such a huge effect?”

Zhang Yitang smiled and said, "After all, this sieve method has been used to prove the twin prime conjecture. It is quite reasonable for it to provide a little help for my research now."

Ayton was amazed for a moment, but then asked: "If you were asked to be a reviewer, would you really not go?"

Zhang Yitang's expression became serious again and he turned his attention back to the paper on the screen.

"I will go," he said. "If the mathematics community needs me to review a paper, I will definitely use the most rigorous attitude to judge the paper."

"After all, I can't allow the wrong proof of the twin prime conjecture to be accepted by the mathematical community."

“It’s my dream too.”

……

This paper, which appeared quietly on arxiv, could no longer hide and was finally dug out.

Suddenly, the entire mathematics community was shaken.

Just like the original video, it also went from obscurity to the eyes of various mathematicians and top experts.

Of course, this paper brought an even greater shock to the mathematics community.

Less than 10 days ago, the two papers on the Elliott-Halberstam conjecture were officially approved. How long has it been since then, and the proof paper on the twin prime conjecture has suddenly appeared?

This is not an ordinary question!

Naturally, the entire mathematics community suddenly became lively.

Whether it is top scholars or students who have just started professional mathematics studies, they all began to discuss this issue.

Moreover, it is even more popular than the Elliott-Halberstam conjecture proved by Xiao Yi before.

After all, the conjecture is called the twin prime conjecture!
……

Rutgers University.

When Henryk Ivanets entered the classroom again, he could clearly feel that the students today were more excited than before.

Soon a student stood up and asked him, "Professor Ivanets, what do you think of the proof of the twin prime conjecture that Xiao Yi posted on arxiv yesterday? Is he correct?"

As soon as this question was asked, the originally slightly excited atmosphere became quiet, and young eyes turned to the sieve master and number theory expert on the podium.

Ivanets was not surprised at all that students would ask this question during class. He just smiled and glanced at the student who asked the question. It seemed that it was the student who showed him Xiao Yi's classification of parity check problems in class two months ago.

Then, he asked, “What do you think?”

The students present looked at each other, what did they think?
They could hardly understand even the abstract, let alone the main text.

However, the student who asked the question took the initiative to say: "I think he succeeded!"

"Why do you think so?" Ivanets asked again.

"Uh..." The student thought for a while and replied, "Because I think this is really cool!"

"A genius suddenly appeared and easily solved a problem that had stumped the mathematics community for so many years. It was just like something out of a movie!"

The other students nodded in agreement.

"'Mind Catcher', is it?" Ivanets laughed. This was probably the reason why these young people were so concerned about this matter. From a certain perspective, they were simply joining in the fun, and the more fun it was, the more they liked it.

Then he said, “Well, it’s a good thing that you are so enthusiastic. I hope this will inspire you to explore mathematical problems.”

"As for whether Xiao Yi's proof is correct, the mathematics community has not yet reached a conclusion."

"After all, the paper was only published yesterday, so it's impossible for the results to come out today. It also took a long time to verify the Elliott-Halberstam conjecture he proved."

"However, what I can tell you is that whether it is me, Professor Goldstone, Professor Zhang Yitang, etc., we all maintain a positive view on this paper."

"In addition, I have also received news that Professor Deligne of Princeton University has previously invited Xiao Yi to attend their annual Princeton Mathematics Conference. Now they have planned to prepare a lecture on the twin prime conjecture specifically for Xiao Yi when the annual conference is held next month. If you are interested, you can go and attend it."

Upon hearing the news, the young students present immediately became excited. After all, they and Princeton University are both in New Jersey, so it is quite convenient to get there.

"Thank you, professor! I will definitely go there when the time comes!" the student who asked the question said gratefully. He really didn't expect that Professor Ivanets would bring them such good news.

By then, he will be the one to attend this report meeting!
Ivanets smiled and nodded. Looking at the excited expressions of these young people, he sincerely hoped that this lecture would make them more interested in mathematics.

After all, interest is the best teacher.

The class bell rang at this time.

"Okay, kids, time for class!"

……

(End of this chapter)