I just want to be a quiet scholar

Chapter 301 The Complete Set
"The proof of Riemann's conjecture involves two core expressions. I have reported it in March this year. In this report, let us briefly review the proof of Riemann's conjecture."

Shen Qi briefly reviewed the important process and main conclusions of the Riemann Hypothesis proof in a few minutes.

"...The above is a summary of Riemann's conjecture. Now, we can directly use Riemann's theorem."

Regarding the Riemann conjecture, the research result more than half a year ago, Shen Qi explained it very simply, and went through it quickly.

One cannot live in the past, live in memory,
For Shen Qi, the Riemann conjecture has turned over, and a more ambitious goal is waiting for 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 is, after all, he has not completely proved Hodge's conjecture.

Perelman completed the proof of the Poincaré conjecture. However, this eccentric Russian did not participate in the 2006 International Conference of Mathematicians and the Fields Medal Awarding Ceremony.

So far, there are only two mathematicians who have solved the Millennium Problem. Shen Qi stood in front of mathematicians all over the world and presented his research results.

"With the proof of Riemann's conjecture and the first two expressions, Shen Qi should be qualified." Gong Changwei said in a low voice.

"That's the reason, it depends on how the IMU makes a decision." Yun Wei nodded and said.

"If Shen Qi succeeds in overweighting and completing the third expression of RT, it will be safer." Xu Yang said.

On the stage, Shen Qi entered the report link of "Riemann Theorem and Its Supplementary Theorem", which is the key content of his report.

"More than two months ago, I reported the framework content of the third expression of RT at the report meeting of the Ramanujan Prize in Italy. 20 days ago, I published the specific technical details based on the framework content on arVix. "

"The calculation of the third expression of RT will prove the supplementary theorem of Riemann's theorem."

"So, did I find the third expression of RT?"

Shen Qi looked at the audience, and asked himself an answer without compulsion: "The answer is, it has been verified thoroughly, just a few days before I came to Brazil."

brush!
Swipe!

Someone in the audience stood up.

All eyes were fixed on Shen Qi and on the big screen.

Popular candidates such as Figali, Brende, Ayub, and Schultz paid close attention to Shen Qi. They had studied Shen Qi's previous reports, and they were waiting for Shen Qi's latest report at this moment.

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

The four European mathematicians are all experts. They understand the meaning of Riemann's conjecture and the milestone mathematical value of Riemann's supplementary theorem.

Riemann Hypothesis + Riemann Theorem + Supplementary Theorem, if Shen Qi has completed a complete set of research...

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

Brende and Ayub were still as stable as dogs, and they followed Shen Qi with admiration and anticipation.

"The first path, through the function logζ(s), we get that ∏L(s, Χ) is analytic at point s=1 and is also equal to zero. This inference is very meaningful. I would like to thank my academic partner Jonah Mr S-Carl."

"The second path, based on the Fundamental Theorem of Prime Numbers, we have proved that when c is a constant that depends on A, and A>1, there is π(x; q, l)=Lix/φ(q)+O(xe ^-clogx). I would like to thank my academic partner, Ms. Mary Schmidt."

Shen Qi looked towards the audience, where his team was seated.

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

Schultz, who was far away, had a complicated and strange expression.

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

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

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

Even though he was mentally prepared, Schultz still felt uncomfortable.

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

Shen Qi on the stage continued to switch PPTs: "The third path, when T is not the ordinate of the zero point of L(s, Χ), we obtained an important equation of the zero point property of the ζ function, and successfully rewritten it into an ordinary Equation system form, that is, this equation system 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. I would like to thank my girlfriend Ouye."

Tears welled up in Ouye's eyes, and there was a lot of discussion in the audience.

"Girlfriend? What a romantic combination."

"The last person Shen Qi thanked was Mary Schmidt. Her previous name was Mary Schulz Schmidt."

"Peter Schultz's wife?"

"Perhaps called ex-wife now?"

"Peter Schultz's wife, or ex-wife is helping Shen Qi conquer RH and RT. Shen Qi should get an award."

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

"Thank you, thank you for your attention." Shen Qi stopped the stage and continued: "The content up to here is not much different from what I announced 20 days ago. I made some optimizations to make the conclusions obtained from the three paths Much more succinct."

"I know that you are concerned about the four paths, and now, I will announce them."

"Based on the inferences obtained from the previous paths and the equations of the zero-point properties of the zeta function, we have derived a core expression, please 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. It was the first time they saw this formula. Mathematicians' intuition told them that this formula was unusual.

"According to Shen's twin matching method, we can clearly know that at the zero point, this formula is completely obtained through the change of the integral function ξ(s), and it is still an integral function in form."

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

Regarding the third expression of RT, Shen Qi spent more than half a year laying the groundwork.

In March, Shen Qi introduced the concept of the third expression of RT. In early August, Shen Qi published a framework report in Italy. 3 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. Shen Qi completed a full set of research on the Riemann Hypothesis + Riemann Theorem + Supplementary Theorem!
(End of this chapter)