Riemann's conjecture looks like a simple fairy, but in fact she's more of an elusive demon.

The complete proof of RH is both straightforward and complex, and in a nutshell, reveals many mysteries surrounding the distribution of prime numbers.

How simple the prime is, the person she loves will always be only herself and 1.

However, the difficulty lies in this, prime numbers only love themselves and 1, and she does not love mathematicians.

The mathematicians devoted themselves to her pomegranate skirt one after another, without complaint or regret, even if they did not even hold hands.

Shen Qi believes that there must be a key point in prime numbers, and if you find this point and touch it, you can conquer the prime number.

The assumption of the zero distribution of the Riemann ζ function is the key part, and it is a question of where it is hidden and through what channels it should be reached.

The two recursive formulas of ζ (2n+1) have been proved by Shen Qi and Mary.

They are:

ζ（2n+1）=1/2（π/4）^2k-1sin（nπ/2）/n+...... α（2k）(2k-1)！/2^2k

and

ζ（2n+1）=2^2n/（2n-1）！（（2n-1）（2n-2）/2（π/4）^2n-3......-∫t^2k-1（ln2sint）dt）

Shen Qi and Mary joined forces to make a certain contribution to the complete proof of RH, π sum of the rational multiple of ^2n-1 and two series with faster convergence, which theoretically provided a new weapon for the complete proof of RH.

Can you defeat the RH if you have a weapon?

Theoretically, it just takes time.

Recently, Shen Qi has also drunk wine and run away, and there are inspirations, but none of them are about Riemann's conjecture.

After all, the Riemann conjecture is one of the millennial problems, and Shen Qi, who is level 9, has to make a super crit across several levels to be able to defeat the Riemann conjecture at this stage.

......

Columbia University, New York City.

Gong Changwei, a professor in the Department of Mathematics, is reviewing a paper entitled "Proof of the Walsh Conjecture of the Diophantine Equation", entrusted by the editorial department of the Journal of the American Mathematical Society.

Gong Changwei is from China and is a young professor in his thirties.

Studying mathematics at Yan University for his bachelor's degree and his master's and doctorate degrees at Columbia University, Gong Changwei is Shen Qi's brother, an expert in number theory who won the Ramanujan Prize, an award given to young mathematicians and often considered an outpost of the Fields Medal.

Gong Changwei didn't know that the author of "The Proof of the Walsh Conjecture of the Diophantine Equation" was his senior brother and younger sister.

The Journal of the American Mathematical Society is a rigorous journal that uses a double-blind review system, where authors and reviewers do not know who each other is.

In fact, it is not difficult for reviewers to know who the author is, and a search on arVix will show that if the author of the article has pre-recorded on arVix.

Gong Changwei hasn't paid much attention to arVix lately, he doesn't care who the author is, he only pays attention to the paper itself.

"This ......" Gong Changwei was very surprised after reviewing the paper, "this author's proof idea is strange, and it is exactly the same as what I thought a few years ago!"

But it is a pity that a few years ago, Gong Changwei proved that the Walsh conjecture was halfway proved, and was called by his fellow disciple Yunwei to study the Langlands program.

"This author is a man of God, he does a better job than I did a few years ago. Gong Changwei was very excited to review the paper three times in a row, from morning to evening, from time to time to prove a few formulas on scratch paper, as if he was the author, he regained the passion that he focused on number theory a few years ago.

......

At the same time, at UCLA, located on the west coast of the United States, Professor Lavrov is a Polish-American mathematician, a Kerr-Prize winner, and one of the most authoritative experts in the field of number theory.

After reviewing the manuscript "Proof of the Walsh Conjecture of the Diophantine Equation", Professor Lavrov made some small revisions, asking the author to refine the small detail of "reducing to a family of Tue equations", which does not require much work, similar to changing the brake pads of a car, which is very easy work, but can ensure safety.

The editorial department of the Journal of the American Mathematical Society found two well-known number theory expert reviewers for Shen Qi, and if these two experts passed the review, it means that Shen Qi's paper will be officially included in the Journal of the American Mathematical Society.

Professor Lavrov's side has basically passed the trial, and Gong Changwei's side has no problems.

The next day, Gong Changwei gave feedback to the editorial office of the Journal of the American Mathematical Society.

After giving feedback, Gong Changwei landed on arVix, which he hadn't been to for a long time, and he couldn't help but be curious, who is the author of "The Proof of the Walsh Conjecture of the Diophantine Equation"?

"Sure enough, there is this paper, the authors are Shen-Qi and Ou-Ye, respectively from Princeton and Yan University, I will say, this paper has a strong Yan University style. Gong Changwei locked on the character of Ou-Ye, because the paper was in English, and he didn't know how to write Ou-Ye's Chinese name, whether it was male or female.

Looking back at Shen-Qi's information, this person is also from Yan University and is currently a graduate student in the Department of Mathematics at Princeton.

Gong Changwei made a transatlantic phone call to China: "Professor Sun, haven't you slept yet?"

Sun Erxiong: "I didn't sleep, Changwei, why did you remember to call me?"

Gong Changwei: "I miss you...... By the way, I would like to ask you something, is there a person surnamed Shen or Shen in the Yan University Mathematics Academy, two words, s-h-e-n, q-i, the name is spelled like this, and he is currently a graduate student in the Department of Mathematics at Princeton. ”

Sun Erxiong: "Who else can there be, Shen Qibei, my student." ”

Gong Changwei: "There is also a surname Ou, two words, o-u, y-e, the contact address is Yanda, won't it be your student?"

Sun Erxiong: "Yes, Ou Ye is Shen Qi's girlfriend and a junior student in the Department of Mathematics of Yan University. ”

Gong Changwei sent a congratulatory message: "The back waves of the Yangtze River push the front waves, Professor Sun, congratulations, your student is very likely to publish a paper in one of the four major journals in the near future!"

Sun Erxiong was also excited: "Is there such a good thing? Shen Qi went to the United States, I can't control this kid, Ou Ye, this girl actually held back the four big chapters behind my back, I don't even know about it!"

......

Ou Ye was very confused this morning, and after Sun Erxiong's detailed explanation, the truth was finally revealed.

Her boyfriend gave her a big gift.

It is said that Shen Qi submitted the paper "Proof of the Walsh Conjecture of the Diophantine Equation" to one of the four major international mathematical journals, and it is very likely to pass the review and publication.

As mentioned above, Chinese mathematicians can only publish one paper every ten years in top international mathematics journals such as Acta Mathematica Sinica.

In the past decade, Chinese mathematicians have been able to publish a paper at the Big Four every two to three years.

Ou Ye sent a WeChat message to Shen Qi: "It's so hard for you to hide it!"

Although it is bitter on WeChat, Ou Ye in reality is smirking.

Laughing, laughing, laughing all morning, Ou Ye felt strange, why didn't Shen Qi reply to the message today?

Tiger Inn Bar at Princeton University, U.S. time at night.

Shen Qi's phone is out of battery, and he drinks with Jonas at the Tiger Hotel.

He didn't know who his reviewer was, and he didn't know about the transatlantic phone call between his brother Gong Changwei and his teacher Sun Erxiong.

The progress shown on the submission system for the Journal of the American Mathematical Society is "Under review".

"Jonas, are you going to stay like this forever, until you are forty or even fifty?" asked Shen Qi.

Jonas shook his head, a little confused: "I don't know, just stay like this." ”

Shen Qi was also confused: "After staying abroad for a long time, don't you miss home?"

Jonas patted Shen Qi on the back: "It seems that you have something on your mind, maybe you need a new passion." ”