After reading this summary, Zhang Yitang felt uncontrollably excited.
If this paper is completely correct, then he already has a hunch that this Parity Check Classification Sieve will definitely provide huge help to the Landau-Siegel-Zero Conjecture he is currently studying!
"The previous automorphic theory of etale algebraic varieties did not make me a beneficiary. Could it be that I will be the beneficiary this time?"
He was jokingly thinking that last week, after "Annals of Mathematics" announced that the two papers of Xiao Yi had been approved, some friends he knew opened champagne all night to celebrate, celebrating the success of their project.
Now I never thought that I would be one of those people who opened 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 read the paper seriously.
Time passed slowly. This paper had a total of 63 pages, and after reading only the first 10 pages, Zhang Yitang's expression became extremely solemn.
The scratch paper appeared on his desk at some point. He held a pen in his right hand and followed the derivation step by step.
[Amn=1/4∑_(|W|^2=m)∑_(|z|^2=n)Q(Re wz)...]
"... where w, z produce effects through Z[i], considering the unit of factor 1/4..."
"That's right! Next, you can apply Cauchy's inequality, introduce the smooth main function f(W) and the square, and then you can get the boundary sum problem!"
"... and b is an integer without small prime factors, so we can limit 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 odd and even prime factors!"
Zhang Yitang's expression cheered up.
Now he really sees the possibility of this paper being established!
Judging from the results he has verified so far, there are no problems at all in the previous part!
For him, whether Twin Prime Conjecture is proven is not the most important. What is most important is whether the Parity Check Classification Sieve proposed by Xiao Yi is correct!
Because it is related to his own subject.
Of course, he is also very happy to see the proof of Twin Prime Conjecture.
Keep looking down.
Time is also passing slowly.
The sunlight outside the window constantly changes its angle, and gradually dyes it from pure golden to red.
The sound of wind did not pass through the green forest, and the afterglow reflected the sky.
Zhang Yitang finally raised his head and once again took off the glasses he had been wearing for several hours.
He rubbed his 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 beyond words.
"No problem at all!"
This means that this paper is correct for him!
Of course, he also wanted to believe that this paper was correct.
After reading the part about Parity Check Classification Sieve in this paper, he had already contacted the Landau-Siegel-Zero Conjecture he was studying, and substituted the problem he was facing now. 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 Landau-Siegel-Zero Conjecture, it is certain that the problems he is encountering now will make a huge breakthrough.
That 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 brought about by his old age, he was prone to making mistakes even when editing papers.
Thinking of Xiao Yi's current age, and myself.
He finally sighed, "Sometimes people still have to accept old age."
Suddenly, at this moment, there was a loud knock on the office door.
"Professor Zhang, is Professor Zhang here?"
"Please come in." Zhang Yitang looked towards the door.
As the door was opened, he saw Joey Ayton, another professor from their Mathematics Department, running in like crazy.
Ayton was holding a notebook in his hand, and what was probably a paper was displayed on the screen. He hurriedly said to Zhang Yitang, "Professor Zhang! Xiao Yi's paper has been published! It's really Twin Prime Conjecture! According to what he said in the abstract, he seems to have really proved his conjecture!"
Zhang Yitang laughed and said, "Joy, 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, when this paper was first published, I happened to see it. Maybe this was God's arrangement, and it was sent to me."
Not hearing the joy in Zhang Yitang's voice for a while, Ayton asked, "So do you think the conclusion of this paper is correct? I feel that after this paper is submitted, you may be found to be a reviewer."
"Hmm..." Zhang Yitang thought for a moment and joked, "I may not be suitable to be this reviewer."
"Why?" Ayton wondered. Since it is related to the proof of Twin Prime Conjecture and a more powerful sieve theory, Zhang Yitang can be said to be one of the most suitable reviewers.
"Here." Zhang Yitang picked up the scrap paper in his hand and showed it to Ayton, "Can you believe it? I just tried it briefly with the Parity Check Classification Sieve he proposed and solved a problem I was studying about Siegel-Zero Conjecture."
"So, as a potential beneficiary of this paper, I would be very happy to see this paper approved."
Ayton immediately opened his eyes in surprise.
In this school, he has the best relationship with Zhang Yitang, and he also studies number theory, so he also knows how difficult it is to solve the problems Zhang Yitang encountered during this period.
As a result, now Zhang Yitang has directly solved this problem with the help of this new screening method?
Ayton hasn't read this paper yet, and he couldn't even imagine it for a while.
"It actually has such a huge effect?"
Zhang Yitang smiled and said, "After all, this screening method has been used to prove Twin Prime Conjecture. It is quite reasonable to provide a little help for my research now."
Ayton marveled for a moment, but then asked, "Then if you are asked to be a reviewer, will you really not go?"
Zhang Yitang's expression became serious again, and he focused his attention on the paper on the screen again.
"I will go." He said, "If the mathematics community needs me to review the manuscript, I will definitely use the most rigorous attitude to judge this paper."
"After all, it is impossible for me to allow the wrong proof of Twin Prime Conjecture to be accepted by the mathematical community."
"It's my dream too."
This paper, which appeared quietly on arxiv, finally could no longer hide its appearance and was unearthed.
Suddenly, the entire mathematical world was shocked.
Just like the original video, it also went from obscurity to the eyes of various mathematics scholars and top experts.
Of course, this paper brought 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 did it take for the proof paper of Twin Prime Conjecture to appear again?
This is no ordinary question!
Naturally, the entire mathematical community suddenly became lively.
Whether it is top scholars or students who have just begun professional mathematics studies, they have begun to discuss this matter.
Moreover, it is even more popular than the Elliott-Halberstam conjecture proved previously by Xiao Yi.
After all, this guess is called Twin Prime Conjecture!
Rutgers University.
When Henrik Ivanets entered the classroom again, he could clearly feel that today's students were more excited than before.
Soon a student stood up and asked him, "Professor Ivanets, what do you think of the Twin Prime Conjecture proof that Xiao Yi posted on arxiv yesterday? Is he correct?"
As soon as this question came out, the originally slightly excited atmosphere calmed down. A pair of young eyes looked at the master of sieve method 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 he was the same student who showed him Xiao Yi's parity check problem classification two months ago.
Then, he asked first, "What do you think?"
The students present looked at each other, what do they think?
They can barely read the abstract, let alone the main text.
However, the student who asked the question took the initiative and said, "I think he succeeded!"
"Why do you think so?" Ivanets asked again.
"Uh..." After thinking for a while, the student replied, "Because I think this is really cool!"
"A genius emerged from nowhere and easily solved a problem that had stumped the mathematical community for so many years, just like in a movie!"
The other students nodded in agreement.
"Psycho Catcher, right?" Ivanets laughed. This is probably why these young people are so concerned about this matter. From a certain point of view, they are just joining in the fun. The bigger the fun, the more they like it.
Then, he said, "Okay, it's a good thing that you are so enthusiastic. I hope this can stimulate your interest in exploring mathematical problems."
"As for whether the proof of Xiao Yi is correct, at present, the mathematical community cannot yet reach a conclusion."
"After all, the paper was just released yesterday, so it is impossible for the results to be available today. The Elliott-Halberstam conjecture he proved also took a long time to complete the verification."
"However, what I can reveal to you is that both me and Professor Goldstone, Professor Zhang Yitang, etc. all maintain a positive view of this paper."
"In addition, I also got the news that Professor Deligne of Princeton University had previously invited Xiao Yi to participate in their Princeton mathematics year meeting, and now they have planned to prepare a report meeting for Twin Prime Conjecture specifically for Xiao Yi when the annual meeting is held next month. If you are interested, you can attend."
Hearing the news, the young students present immediately became excited. After all, they and Princeton University were both in New Jersey, so it was quite convenient to go there.
"Thank you, Professor! I will definitely go there then!" the student who asked the question said gratefully. They really didn't expect that Professor Ivanets would actually bring them such good news.
When the time comes, he will book this report meeting!
Ivanets smiled and nodded. Looking at the excited expressions of these young people, he sincerely hoped that this report would make them more interested in mathematics.
After all, interest is the best teacher.
The class bell rang at this time.
"Okay, kids, let's get to class!"