Liu Dongchen took out his mobile phone, opened WeChat, and entered a group.
Chen Beihua took a look and saw that this group was called [Hope of Chinese Number Theory].
He twitched his lips, what kind of group name is this?
However, he could probably guess that the people in this group were all Chinese mathematicians who specialized in number theory.
Hmm...
Because he also joined a group called [Functional Kingdom of Light].
Liu Dongchen turned on the camera, took a picture of the computer screen, and then posted it to this group.
[Picture]
[Brothers and big guys, take a look at the things written here. I feel it may be a classification study on the parity problem of the sieving method. Let me give some understanding.]
However, probably because his picture, which was taken directly from a computer screen, was covered with moiré patterns, the friends in the group started complaining with emoticons.
[(Did you take the photo with the door lock. jpg)]
[(The screenshot key given to you by God, the screenshot key given to you by Huateng, the screenshot key given by Gates to you, sb. jpg who still hasn't learned how to take screenshots)]
[...]
Seeing these messages, Liu Dongchen twitched his lips, why do these guys have all kinds of emoticons?
Then he typed a reply: [What the hell, is this the point? Look at the picture! You will be scared to death after reading this!]
Finally, the people in the group returned to normal.
[Hey, isn't this Scholar Xiao? What kind of video is this? Send it and take a look]
[Don't talk, I'm thinking]
Liu Dongchen logged into the B site on his mobile phone, found this video, and posted it to the group.
After a while, a big boss finally appeared.
Tao Quan: [These lines are very powerful. I took a quick look at it just now. What Dongchen just said is indeed good. It is indeed a classification specifically for parity issues. However, for the time being, it can only be seen that it is a classification for all even-numbered prime factors. The odd-numbered prime factors are not written. Is there any content later?]
[I'll go, Professor Tao!]
[Professor Tao appears!]
Tao Quan is a mathematics professor at Danfu University. His main field of study is number theory. He has done research on prime number problems and Diophantine equation problems. He can be called the boss of their group.
Liu Dongchen never expected that a picture he posted could lead to such a big boss. He looked at the screen and saw that Xiao Yi had written two more lines of formulas, but there were no more lines below.
So he took the photo again and sent it.
[Xiao Yi only wrote two more lines later, and then disappeared.]
Soon, Tao Quan replied again: [That's right! With the addition of these two lines, the odd number of prime factor classes are also included. This is a very feasible idea! It may greatly optimize the obstacles of the sieve method on the parity problem. The only problem is that it is a bit difficult to do later. First, we must find a way to prove that this classification method can truly distinguish these two types of integers. In addition, we must face the problem of thin sequences. We all know that in a given thin integer sequence, it is difficult to express the infinity of prime numbers. So far, there is no polynomial that can achieve this.
Of course, the most critical thing is that there are still some technical problems. If these problems cannot be overcome technically, everything will be in vain.]
Tao Quan is indeed a master in this field, and he quickly saw the information revealed in these few lines.
[Professor Tao is awesome!]
People in the group started shouting.
However, Tao Quan sent another message at this time: [But, do you think the person in the video is Xiao Yi?]
Liu Dongchen quickly replied: [Yes.]
Tao Quan: [I'm just talking about why you look so young. Since it's Xiao Yi, it's easier to understand.]
[However, why did Xiao Yi suddenly start studying the screening method? The automorphic theory of Etale algebraic varieties that he developed some time ago is not very related to the sieve method.]
As soon as the news about Tao Quan came out, people in this group immediately started thinking.
That's right, why did Xiao Yi suddenly study the screening method?
What problem is he targeting again?
Someone in the group sent a message: [Is it Twin Prime Conjecture?]
[Wori, can't you?]
[He just proved the Elliott-Halberstam conjecture, and he plans to continue to prove Twin Prime Conjecture? Do you want to be so exaggerated?]
[Maybe someone can prove that the Elliott-Halberstam conjecture itself is for Twin Prime Conjecture?
[After all, the proof of the Elliott-Halberstam conjecture directly pushed Twin Prime Conjecture to 6. From this aspect, Scholar Xiao has already solved the problem of whether there are infinite pairs of personalized prime numbers.]
[Impossible, absolutely impossible!]
[...]
Various speculations also made the members of this group excited.
Until the end, the professor Tao Quan stood up again and stopped them from spreading it randomly.
If this eventually becomes a rumor, won't it affect Xiao Yi himself?
[Okay, I think you all should stop guessing. Even if this is true, Twin Prime Conjecture is not that easy to solve. However, if Xiao Yi really solves this problem, then I would like to call him the real hope of our Chinese number theory!]
Putting down the phone, Liu Dongchen exhaled, calming down his slightly uneasy heart.
"How's it going?"
Chen Beihua asked next to him.
"Well... what do you want to hear? About these lines, or about my idol."
Chen Beihua Pull your lips, don't talk about idols.
But he was still curious. "What happened to Xiao Yi?"
"Be respectful, how can you call Scholar Xiao by his name?"
Liu Dongchen corrected the title of Chen Beihua with a serious face. Then, he clasped his fists and cupped his hands in the direction of Fei City. He said solemnly, "Scholar Xiao, now he is conquering Twin Prime Conjecture for the entire number theory world!"
Chen Beihua, who was just about to slap this idiot fan, was suddenly shocked, with a look of disbelief on his face.
"Walter?"
Twin Prime Conjecture?
Damn it, if Xiao Yi really proves this conjecture, then there is nothing wrong with him becoming a fan of Xiao Yi himself!
In this way, this video was originally just a video of Xiao Yi solving a difficult problem, but because of the few lines of equations he wrote during the process, it began to spread in professional mathematics circles.
For example, Professor Tao Quan also communicated with some mathematician friends he is familiar with.
Eventually, this video also spread abroad.
USA, New Jersey, Rutgers University.
Rutgers University is the eighth oldest higher education institution established in the United States. It is also the second oldest university in the history of New Jersey where it is located. As for the oldest university, it is Princeton University.
At this time, a number theory class was being held in a classroom at Rutgers University Mathematics Department.
The lecturer was an old professor who looked to be in his seventies.
"In the past, the mathematical community expected that any irreducible polynomial with integer coefficients would assume an infinite number of prime values, provided that it satisfied some obvious local conditions."
"It is also expected that the frequencies of these primes obey a simple asymptotic law."
"However, these asymptotic laws have been shown to only apply to a few special polynomials and not all, so this is also quite a pity."
"To give a simple example, prime numbers in the form x^2+y^4."
"However, I just stated that these are all situations in the past, and now, these problems have been solved to a certain extent."
"That is, the sifting method. In this lesson, I will start with you about the sifting method."
The classroom was very quiet, with almost no other sounds except the old professor's voice. The students listened to the old professor's lectures very seriously.
As for the students' seats, they were almost full, and even the aisles were almost full.
No one else, because this old professor is named Henrik Ivanets.
Master of sieve theory, expert of Analytic Number Theory.
Together with another mathematician named Friedlander, he once proved that there are infinitely many prime numbers in the form of a^2+b^4. Previously, the mathematical community generally believed that this result was out of reach.
They were able to prove this problem because they further optimized the screening method, thus overcoming various previous difficulties and achieving this heavyweight result.
Including later, Zhang Yitang's breakthrough over Twin Prime Conjecture is also inseparable from the screening method optimized by Ivanets and the others.
The number theory class taught by such a talented mathematician even taught about the sieve method, which naturally attracted many students.
Maybe among so many students, there are some students who came from Princeton University to attend the class.
Time passed slowly. Ivanets spoke very slowly but in detail. At least, every student in the audience could understand it.
Just like that, at the end of this class, Ivanets said with a smile, "Okay, that's it for this class. Now, students who have questions can ask me questions."
Soon, many students in the audience raised their hands, and Ivanets also began to call names and answer these students' questions.
In this way, it was until the fifth student asked a question.
"Professor Ivanets, I recently saw a video on the Internet, and there is some content in it about the sieve method. Some people say that the content above may provide some help in solving the parity problem you just mentioned in sieve theory. Can I write it out for you to take a look at?"
"Oh?" Ivanets said with a smile, "I'm glad that students can understand things related to sieve theory before class. Of course, you can come forward and write these things down."
"Okay!" The student nodded excitedly, then quickly walked to the blackboard, took out a piece of copied paper, and started writing on the blackboard.
[A(x)A(√x)(log x)^2]
[∑_(d≤y)μ^2(d)g(d)=c1·log y+c0+O((log y)^-8)]