"The proof of the Riemann conjecture involves two core expressions, which I reported in March of this year, and in this report, let's briefly review the proof of the Riemann conjecture. ”

Shen Qi spent a few minutes briefly reviewing the important process and main conclusions of the Riemann conjecture proof.

“...... This is a summary of the Riemann conjecture. So now, we can use Riemann's theorem directly. ”

Regarding the research results of the Riemann conjecture more than half a year ago, Shen Qi said very simply, brush brush and brush quickly.

Man can't live in the past, live in memory,

For Shen Qi, the Riemann conjecture has turned the page, and a grander goal awaits him to conquer.

But the audience in the lecture hall knew that the simplicity of Shen Qi's speech did not mean that Riemann's conjecture was simple.

No matter how genius Schultz was, he didn't thoroughly prove Hodge's conjecture.

Perelman proved the Poincaré conjecture, but the eccentric Russian did not attend the 2006 International Congress of Mathematicians and the Fields Medal ceremony.

So far, there are only two mathematicians who have solved the millennial problem, and Shen Qi stands in front of mathematicians from all over the world to present his research results.

With the proof of the Riemann conjecture and the first two expressions, Shen Qi should be qualified. Gong Changwei whispered.

"Li'er is this Li'er, it depends on how the IMU decides. Yun Wei nodded and said.

"If Shen Qi succeeds in increasing the code and the third expression of RT is completely completed, it will be more secure. Xu Yang said.

On the stage, Shen Qi entered the report session of "Riemann's theorem and its supplementary theorem", which is the focus of his report.

"More than two months ago, I reported on the framework of the third expression of RT at the presentation of the Ramanujan Award in Italy. Twenty days ago, I published specific technical details on arVix based on framework-based content. ”

"The third expression of RT will prove the complementary theorem of Riemann's theorem. ”

"So, did I get the RT third expression?"

Shen Qi looked at the audience, and asked himself unhurriedly: "The answer is that it has been thoroughly verified, just a few days before I came to Brazil." ”

Brush!

Brush!

Someone in the audience stood up.

Everyone's eyes were on Shen Qi, staring at the big screen.

Popular candidates such as Figali, Brende, Ayub, and Schultz are very concerned about Shen Qi, they have studied Shen Qi's previous reports, and they are waiting for Shen Qi's latest report at the moment.

If Shen Qi's performance is successful, one of the four European mathematicians may not be eligible for this year's Fields Medal.

The four European mathematicians were experts in understanding the significance of the Riemann conjecture and the milestone mathematical value of the Riemann theorem.

Riemann conjecture + Riemann theorem + supplementary theorem, Ruo Shen Qi completed a full set of research on one dragon......

Scholz was a little nervous, and Figali was equally nervous.

Brende and Ayub were still as steady as dogs, and they looked at Shen Qi with admiration and expectation.

"In the first path, using the function logζ(s), we get ∏L(s,Χ) at the point s=1 and is also equal to zero, which is a very meaningful inference thanks to my academic partner, Jonas Carr. ”

"In the second path, based on the fundamental theorem of prime numbers, we prove 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). Thank you to my academic partner, Ms. Mary Schmidt. ”

Shen Qi looked at the audience, the seat where his team was.

Mary and Jonas smiled, proud to be part of this great cause.

Across Schultz, his expression was complicated and strange.

"Mary, you ......" Schultz's gaze turned to the audience, looking for his wife in the crowd.

In fact, Schultz already knew that Mary was helping Shen Qi work.

In Shen Qi's previously published paper, Mary's name is among the four authors.

Even with mental preparation, Schultz was still uncomfortable in his heart.

After all, in front of mathematicians all over the world, it is not Schultz, the legal husband, who is grateful to his wife, but Shen Qi.

Shen Qi on the stage continued to switch PPT: "In the third path, when T is not the ordinate of the zero point of L(s,Χ), we have obtained an important equation for the zero point property of the ζ function, and successfully rewritten it into the form of an ordinary system of equations, that is, this system of equations on the big screen, x=βk, γ=γk, x^2-x-γ^2+γk^2+βk-βk^2=0, γk(1-2β)+γ(2x-1)=0. Thanks to my girlfriend Oye. ”

Ou Ye burst into tears, and there was a lot of discussion in the audience.

"Girlfriend? ”

"Shen Qi's last person to thank, Mary Schmidt, her previous name was Marie Schulz-Schmidt. ”

"Pete Schultz's wife?"

"Maybe an ex-wife now?"

"Pete Schultz's wife, or ex-wife is helping Shen Qi overcome RH and RT, and Shen Qi deserves an award. ”

The mathematicians gave their opinions, and the hall suddenly became noisy.

"Thank you, thank you for your attention. Shen Qikong paused the scene and continued: "The content up to this point is not much different from what I announced 20 days ago, and I have made some optimizations to make the conclusions of the three paths more concise. ”

"I know you care about the four paths, and now, I'm announcing them. ”

"Based on the inferences from the previous paths, as well as the system of equations that ζ the zero-point properties of the function, we derive a core expression, see the screen. ”

The formula on the screen is:

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

More than half of the audience in the lecture hall stood up, they had seen the formula for the first time, and the mathematician's instinct told them that it was unusual.

"According to Shen's twin matching method, 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 an integer function in form. ”

Shen Qi stretched out his arms and hugged the world: "That is to say, in the process of traversing the complex plane, s happens to be impartial, no more and no less at a certain non-obvious zero point, that is, it coincides with the non-obvious zero point, and the third expression of RT proves that the supplementary theorem of Riemann's theorem holds!"

Regarding the third expression of RT, Shen Qi spent more than half a year to pave the way.

In March, Shen Qi threw out the concept of the third expression of RT, and in early August, Shen Qi published a framework report in Italy, and twenty days ago, Shen Qi announced three paths.

At this moment, Shen Qi completed the final blow, and the fourth path of his 8-page PPT finally obtained the third expression.

Oh!

The mathematicians in the audience were excited, and Shen Qi completed a full set of research on the Riemann conjecture + Riemann's theorem + supplementary theorem!