The most basic principle of being a teacher is not to mislead people's children.

Shen Qi did a fairly good job during the transition period.

The most important event in the near future is, of course, the International Congress of Mathematicians in late October.

There is still more than a month to go, and Shen Qi is preparing for the battle in an intense and orderly manner.

The mission information that Jonas, Mary, and Ou Ye were responsible for were all summarized in Shen Qi's hands.

Shen Qi checked and checked one by one and entered the final stage of drafting.

"The first path that Jonas is responsible for, based on the twin matching method, is obtained by the function log(s∏ L(s, Χ) is resolved at the point s=1 and is also equal to zero...... So-so, Jonas is a nerve knife, inconsistent play, overall he is responsible for the first path, I give him a 60. ”

The derivation results provided by Jonas are not satisfactory, and Shen Qi needs to refine the rest of the work of the first path of the third expression of RT by himself.

"The second path Mary is responsible for, based on the fundamental theorem of prime numbers, finds an inference to support the third expression of RT. She pointed out that when c is a normal number dependent on A, and A > 1, there is π(x;q,l)=Lix/φ(q)+O(xe^-clogx)...... Mary did a beautiful job, and I gave her a 90. ”

Mary did Shen Qi a great favor, and Shen Qi could directly use the important inferences she had obtained.

"The third path that Xiaoye is responsible for is the most difficult, and the important support for the third expression of RT is found through the zero-point equation...... Yo, I found it!"

Ouye's materials had been sent to Princeton three days earlier, and after spending the night in Shen Qi's apartment, Ouye had returned to Columbia University.

Shen Qi carefully studied Ou Ye's information today, he was very excited, and he gave Ou Ye a score of 99.

Shen Qi made a phone call to Ou Ye: "Xiao Yezi, when T is not the ordinate of the zero point of L(s,Χ), the zero point equation you obtained was completed by you alone?

Ou Ye: "Professor Gong instructed me. ”

"In other words, most of the tasks you are responsible for are completed by yourself?" Shen Qi asked.

Oye: "Almost. ”

"Why are you so good all of a sudden? This zero-point equation is very difficult, and as far as I can tell, you did a good job, almost perfectly. Shen Qi was both surprised and delighted.

Ou Ye: "If you solve more equations, you will become proficient." ”

Shen Qi laughed: "Yes, yes, yes, there is nothing wrong! Solving equations requires continuous practice, and you have worked very hard to solve equations recently, which I know and affirm." You were in my apartment three days ago and ......"

"I hate it!" Ou Ye said angrily on the other end of the phone, and then instructed: "I haven't been going to you recently, so don't come to me, and prepare for the Philippine Awards with peace of mind." ”

"Okay, I won't let you down, I won't let the team down!" Shen Qi said firmly, ending the call with Ou Ye.

The manuscript work took Shen Qi a week.

Ou Ye and Mary's information doesn't require Shen Qi to put much effort into it, just sort it out a little.

Shen Qi is mainly refining and supplementing Jonas's information.

Every project leader hopes that all of them are elite soldiers, and these elite soldiers will always be in the peak academic state, and the project leader only needs to do copy and paste work.

This is the ideal setting, but the reality is often not ideal.

Therefore, in addition to having a far-sighted strategic vision, the person in charge of the project also needs to have a strong tactical and practical ability, check and fill in the gaps at any time, and improve the project paper by himself.

With 20 days to go before the International Congress of Mathematics, Shen Qi published a paper "Research on the Third Expression of RT" in arVix.

The 66-page paper is an update and supplement to the report that Shen Qi made in Italy.

In order to prove the Riemann conjecture, Shen Qi deduced two core expressions, and that paper made Shen Qi famous, and he was promoted to the top international mathematicians overnight.

The paper on the first two expressions of the Riemann conjecture is only 30 pages, while the paper on the third expression of RT is 66 pages, which fully illustrates that the derivation process of the third expression is more complex.

In this special period, any bit of wind and grass among the major candidates for the Philippine Prize will attract deep attention from the international mathematical community and the media community.

Shen Qi published the latest research progress of RT third expression 20 days in advance, with the aim of leaving some time for the international mathematical community to study his latest results.

In this 66-page paper, Shen Qi and his team obtained two inferences and a core equation of the RT third expression through three paths. This is a very important development, and combined with the first two expressions of the Riemann conjecture proof, Shen Qi has almost locked in a Fields Medal spot. —Comments and predictions from the American mathematical community.

"First of all, we must acknowledge Shen Qi's contribution, but the problem is that the RT third expression has not been fully proven. The fourth path mentioned by Shen Qi at the Ramanujan Award report meeting has not seen a word so far. —Comment from the European mathematical community.

The fourth most important verification path for the third expression of RT is Shen Qi's own responsibility.

Recently, Shen Qi has been closed, and all the undergraduate number theory courses have been handed over to Professor Lyndon Strauss.

All the wine that could be drunk was drunk, all the paper scratch paper that could be burned was burned, and Shen Qi did not write a single symbol about the fourth path.

"Professor Wiles' mysterious rituals don't work at all. ”

Shen Qi burned all the scratch paper, the official papers that had been written, and he was reluctant to burn them.

To solve a mathematical problem, we should start from the mathematics itself.

What wine to drink, what papers to burn.

Feudal superstition is harmful!

There is only one week left until the opening of the International Congress of Mathematicians.

Shen Qi does not drink or burn papers, he returns to mathematics itself, number theory itself, and analytical number theory itself.

Mathematicians usually divide mathematics into pure mathematics and applied mathematics, with number theory undoubtedly being pure mathematics and analytic number theory being pure and pure.

Disciplines that are too theoretical are destined to be toys for a very small number of people, who are lonely and lonely, and they are overwhelmed by the cold.

Analytic number theory is not a very hard analytical discipline in China, but some of the most famous mathematicians in modern China are closely related to analytic number theory.

There are generally two schools of analytic number theory in China, one is the Chinese Academy of Sciences school with Mr. Hua Luogeng as the core, and the other is the Yan University school with Mr. Min Sihe as the soul.

Another outstanding representative of the Chinese Academy of Sciences is Mr. Chen Jingrun, who is a famous problem in analytic number theory.

Academician Lin, who specializes in number theory at Yan University School of Mathematics, studied under Min Sihe, and he had exchanges with Shen Qi during the period when Shen Qi returned to China at the end of June.

"I deduce this equation, where s is a variable, and it is a complex variable, and we can clearly know that at the zero point, this formula is completely obtained by the change of the integer function ξ(s), and it is still formally an integer function......"

Shen Qi recalled Academician Lin's views at that time.

"So we can imagine that in the process of traversing the complex plane, s happens to be impartial, no more and no less at a certain non-obvious zero position, that is, it coincides with the non-obvious zero point, and the result is not difficult to speculate, the value of this formula is 0, and the third expression of RT proves ......"

At that moment, the sky over Princeton suddenly became cloudy.

Thundered!

Thunder rang out.

It was raining heavily.

Shen Qi is a spirit, and his brain has captured a great inspiration like an overelectricity.

What Academician Lin said is reasonable, but it also needs to be supplemented and improved in order to finally obtain the third expression of RT. ”

"Haha, hahaha, I've figured out how to improve it......"