"Suppose that this point belongs to the set {ξ function is not an obvious zero point}, according to the principle of 'Shen's twin matching method', then the overall product value of this group must be 0......"

"Since s traverses the two zeros of the k-th twin group, then I and II are contradictory...... Academician Lin's logic has reached this point, and it is difficult to be self-consistent. ”

"That is, x is equal to βk, γ=γk, and x = 1-βk, γ=-γk, these two cases are difficult to rewrite in the form of ordinary equations, and the third expression of RT does not prove ......"

"It didn't prove it...... Hehe, hehehe, I know, I understand, I can prove it!"

Click!

A fork of lightning pierced the night sky!

With the dazzling light of lightning, Shen Qi wrote a formula on scratch paper:

ζ（s）=∑（0≤n≤T*-a）（n+a）^-1/2-it+O（（T*）^1/2（1+t）^-1），0≤t≤T

After writing this formula, Shen Qi opened the window and shouted at the night and lightning: "I am Shen Qi, I have obtained the third expression of RT......!"

Click!

Click!

Serial lightning!

Shen Qi hurriedly closed the window and wiped the rain from his face.

The problem that had plagued Shen Qi for more than half a year was solved by him in a night of lightning and thunder, and it took him 20 minutes to find a solution.

In the next few days, Shen Qi continued to refine the paper "RT Third Expression".

After several revisions, the report paper "RT Third Expression" was reduced to 52 pages by Shen Qi, of which 44 pages are the fruits of the labor of Ouye, Mary, and Jonas, which were summarized, sorted out, and integrated by Shen Qi to form a joint manuscript.

There are only 8 pages, and it is Shen Qi's exclusive masterpiece.

History is very wonderful, and the paper in which Riemann proposed the Riemann conjecture in 1859 is also only 8 pages long.

With everything ready, Shen Qi and his team took an international flight from New York to Brasilia, the capital of Brazil.

The authors' names on the first page of RT Third Expressions are: Shen Qi, Ou Ye, Mary Schmidt, Jonas Carr.

In the closing remarks of the paper, the authors thanked Faltins, Lyndon Strauss, Müller, Gong Changwei and other authoritative experts for their technical support.

The eight members of the team made a full attack and arrived in Brasilia in late October.

The International Congress of Mathematicians was held in Brasilia and lasted for nine days, with the first eight days being academic presentations and the last day awarding four Fields Medals.

In Brasilia, the four talented students of the Yan University School of Mathematics successfully met, and they had a brief and friendly exchange.

Shen Qi, Educational experience: Yan University, Princeton. He is currently a lecturer at Princeton, and recently majored in number theory, and gave a one-hour report at this conference.

Gong Changwei, Education Experience: Yan University, Columbia University. He is currently a professor at Columbia University, majoring in number theory, and giving a 45-minute presentation.

Yun Wei, education experience: Yan University, Princeton. He is currently a professor at Yale University, majoring in algebraic geometry, and giving a 45-minute presentation.

Xu Yang, Educational Experience: Yan University, Princeton. He is currently a professor at Yan University, majoring in algebraic geometry, and giving a 45-minute presentation.

Shen Qi is very familiar with Gong Changwei, and he has dealt with Xu Yang when he was in China, and this time he got acquainted with Yunwei.

The four talents of the Yan University School of Mathematics will represent China and launch an attack on this year's Fields Medal.

The eyes of the Chinese mathematical community are focused on Brasilia, and the country's expectations are pinned on four young mathematicians: Shen, Gong, Yun and Xu.

When receiving representatives of the fields of science, education, and culture at the two sessions, the premier said that China already has the Nobel Prize, but only one Fields Medal is missing.

Will there be Chinese names in the list of the four winners of this year's Philippine Awards?

On the first day of the conference, Gong Changwei, Yun Wei and Xu Yang delivered a 45-minute academic report.

This is the second highest-level report, and Gong, Yun, and Xu retain a certain probability of winning the Philippine Award.

In Professor Faltings' prediction system, the winning rate of Gong, Yun and Xu is between 1.2%~1.8%.

Shen Qi listened carefully at the report meeting, listened to the afternoon, and finally waited for the first one-hour highest-level speaker to take the stage.

Alessio Figali, an Italian mathematician and currently a professor in the Department of Mathematics at Princeton, is a colleague of Shen Qi and a mentor to Zhou Yu'an.

There are seven favourites in Professor Faltins' prediction system, with Figari coming in seventh.

Even the person who predicts the seventh place has a heart for the Philippine Award.

Figari gave speeches with emotion and determination, and his eyes told everyone that he was hungry for a Fields medal.

"Assuming that partial differential inequality (7) has a final positive solution UH(t,x),(t,x)∈[T,∞) under the boundary value condition (2)×Ω......"

“...... Then, according to the eigenfunction corresponding to the first eigenvalue of the Dirichlet problem, I get the area element on δΩ!"

“...... So I proved this parabolic partial differential equation theorem that will play an important role in the field of pulse vectors, thank you!"

The audience applauded thunderously, and Figali's one-hour report was very exciting.

Shen Qi was also applauding and felt a little nervous.

Professor Figari is fighting hard, and the old books of the family have been smashed out!

Born in differential geometry, Figali has been working partial differential equations in recent years, and he specializes in elliptical and parabolic PDEs.

The just-reported parabolic partial differential equation theorem is Figali's latest research achievement.

In recent months, during coffee time in the Princeton math department, Figari has tucked away, listening more and talking less.

Shen Qi knew that Fei Jiali was holding back his big move, old Fei, old Fei, I never thought that you were a scheming boy, you just wanted to turn over!

I'm so simple, I announced the latest research progress of the third expression of RT 20 days in advance, and of course, I also held back a big move, which is the fourth path of my 8-page paper...... Shen Qi took the initiative to talk to Figari during the break of the meeting: "Alessio, after listening to your speech, I have become your fan. ”

"Yes, I'm happy with my report as well. Figali's face was full of red, he had not yet played, immersed in the passionate report just now.

"Alessio, you've risen to fourth. Professor Faltings, the master of Princeton forecasting, said.

Seventh→ fourth, Fei Jiali, who had turned over as a salted fish, was in a good mood, and he said to Shen Qi: "Qi, your Chinese classmate, Zhou, he is very potential, and recently he has helped me deal with some problems through differential geometry. I was thinking that I should let him graduate with a master's degree next semester and enter the doctoral stage as soon as possible. ”

"It's Zhou's honor to be able to follow you Alessio. Shen Qi smiled, and said in his heart Zhou Yu'an, you kid can hide it from me for a few months, it turns out that he is helping Professor Fei Jiali do things. Recently, Shen Qi has been flying all over the world, and he has to lead the team to do projects, and he has no time to care about Zhou Yu'an.

In fact, Fei Jia is also Shen Qi's competitor, Shen Qi has not paid much attention to Fei Jia before, and now he has to pay attention to Fei Jia again, his Princeton colleague, Zhou Yu'an's mentor.