I Just Want to Be a Quiet Top Student

Riemann conjectures that she looks like a simple fairy, but in fact she is more like an elusive demon.

The complete proof of RH is both straight-forward and complex. In one sentence, it reveals many mysteries surrounding the distribution of prime numbers.

The prime number is so simple, the people she loves are always only herself and 1.

However, this is also the difficulty. Prime numbers only love themselves and 1, and she does not love mathematicians.

Mathematicians, however, devoted themselves to her under the pomegranate skirt one after another, without complaint or regret, even if they never held hands.

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

The assumption of the zero-point distribution of the Riemann ζ function is a key part. Where is it hidden and what channels should be used to reach it? This is a problem.

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

they are, respectively:

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

as well as

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 jointly made a certain contribution to the complete proof of RH. The rational multiples of π^2n-1 and the sum of two series with faster convergence provide a new method for the complete proof of RH in theory. weapons.

Can you defeat RH with weapons?

In theory yes, it just takes time.

Recently, Shen Qi also drank wine and ran away. He did have inspirations, but none of them were about Riemann's conjecture.

After all, the Riemann Hypothesis is one of the Millennium Problems. Shen Qi, who is level 9, has to hit a super crit a few levels before he can defeat the Riemann Hypothesis at this stage.

...

New York City, Columbia University.

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

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

He studied in the Mathematics Department of Yanda University for his undergraduate degree, and he studied for his master's and doctoral degree at Columbia University. Gong Changwei is Shen Qi's senior brother. Outpost of the Ertz Prize.

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

"Journal of the American Mathematical Society" is a rigorous journal. They adopt a double-blind review system, and neither the author nor the reviewer knows who the other party is.

In fact, it is not difficult for reviewers to know who the author is. You can find out by searching on arVix, if the author of the article has pre-recorded on arVix.

Gong Changwei hasn't paid much attention to arVix recently. 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 so clear, it is exactly the same as my idea a few years ago!"

But it is a pity that a few years ago, Gong Changwei proved Walsh's conjecture halfway, and was called by his colleague Yun Wei to study the Langlands program. After several years of research, the subject of Walsh's conjecture was shelved by him.

"This author is amazing, he is better than me a few years ago." Gong Changwei was very excited to review the paper three times in a row, from morning to night, from time to time he personally proved several formulas on the draft paper, As if he were the author, he regained the passion that he focused on number theory a few years ago.

...

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

After reviewing the manuscript of "Proof of the Walsh Conjecture of the Diophantine Equation", Professor Lavrov made some small revisions, asking the author to improve the small detail of "reducing to a family of Thue equations". It doesn't require too much work, similar to changing the brake pads of a car, very easy work, but it can ensure safety.

The editorial department of the "Journal of the American Mathematical Society" found two reviewers for Shen Qi who are well-known experts in number theory in the United States. If these two experts pass 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 problem.

The next day, Gong Changwei fed back the reviewers' comments to the editorial department of the Journal of the American Mathematical Society.

After giving feedback, Gong Changwei logged into arVix, which he hadn’t visited for a long time. He couldn’t help but be curious. Who is the author of "Proof of the Walsh Conjecture of the Diophantine Equation"?

"Sure enough, there is this paper. The authors, Shen-Qi and Ou-Ye, are from Princeton and Yanda respectively. Let me just say, the method of this paper has a strong Yanda style." Gong Changwei focused on the character of Ou-Ye, Because the paper was in English, he didn't know how to write Ou-Ye's Chinese name, whether it was male or female.

Check Shen-Qi's information again. This person is also from Yanda University and is currently a graduate student in the Princeton Department of Mathematics.

Gong Changwei made an overseas phone call to China: "Professor Sun, are you still asleep?"

Sun Erxiong: "Didn't sleep, Chang Wei, 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 Yanda Mathematics Institute, two characters, s-h-e-n, q-i, the name is spelled like this, currently in Princeton Mathematics Department of graduate school."

Sun Erxiong: "Who else is there, Shen Qibai, my student."

Gong Changwei: "There is also a surnamed Ou, two characters, o-u, y-e, and his contact address is Yanda University, so he is also a student of yours, right?"

Sun Erxiong: "That's right, Ouye is Shen Qi's girlfriend, a third-year student in the Mathematics Department of Yanda University."

Gong Changwei sent a congratulatory message: "The waves behind the Yangtze River drive the waves ahead, Professor Sun, congratulations, your student is very likely to publish a paper in 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, and this girl Ouye is actually holding back the four chapters behind my back, I don't even know about it!"

...

Ouye was very confused this morning, after Sun Erxiong explained in detail, the truth finally came to light.

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 mathematics journals, and it is likely to pass the review and be published.

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

In the past ten years, it has been a little more. Chinese mathematicians can publish a paper on the Big Four every two to three years.

Ouye sent Shen Qi a WeChat message: "It's so hard for you to hide it from me!"

Although it was bitter on WeChat, in reality Ouye was giggling.

Laughing, laughing, laughing all morning, Ouye felt strange, why didn't Shen Qi reply to the message today? Usually in seconds!

Princeton University Tiger Hotel Bar, US time is evening.

Shen Qi's cell phone ran out of battery, and he drank with Jonas at the Tiger Hotel.

He didn't know who his reviewer was, nor did he know the overseas phone call between senior brother Gong Changwei and teacher Sun Erxiong.

The progress displayed on the JAMS submission system is "under review".

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

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."