Chapter 241: How to see a rainbow without experiencing wind and rain

"It's a pity, Shen Qi, I think that this paper on the recursive formula of the Riemann Zeta function ζ (2n+1) was submitted to the Annals of Mathematics, which was just rejected again. Professor Müller said with a solemn face.

"Professor Müller, I use more mathematical techniques in this paper than I did in the one where I proved the Walsh conjecture. ”

"If you insist on submitting to the Annals of Mathematics, I have no objection. If your paper is included in the Annals of Mathematics, I will pay for the page. Good luck. Professor Müller said.

"And what about the details, Professor Müller, what are the details? What am I doing wrong?"

"Theoretically ζ (2n+1) can be expressed as the sum of the rational multiples of π^2n-1 and the two fast-converging series, yes, I agree with your series derivation, but I don't see what I want to see. Recalculate the consistent convergence Shen Qi, maybe you will find your real problem. ”

"Okay, I'll calculate the verification again. Professor Müller, what about my Orbifold thesis?"

"This orbifold paper is placed here for me first, and I need to study it carefully, so I can't give a comment for the time being. ”

Professor Müller rejected one of Shen Qi's papers, and the other is pending further study.

Shen Qi spent a week proofreading "The Problem of Riemann Zeta Function ζ (2N+1)".

He was about to vomit, and as soon as he saw the name Riemann and the formulas and guesses related to this name, Shen Qi wanted to vomit.

Vomit!

Wow!

Shen Qi couldn't help but vomit.

The pickled cucumbers and vegetable leaves are mixed together, and it looks quite fresh.

"Abominable Riemann. ”

Shen Qi muttered, sweeping the vomit from the floor.

Professor Müller has always disagreed with Shen Qi's paper on the problem of the ζ of Riemann Zeta function (2n+1) and uses the series derivation method to obtain the recursive formula. On the same issue, Professor Müller and Mary stood with each other this time.

There is also good news that Mill agrees with Shen Qi's argument in the Orbifold paper.

Shen Qi insisted that his understanding of the Riemann conjecture would not be wrong.

"Riemann made me vomit, so I had to ask him for an explanation. ”

Shen Qi and his last stubbornness submitted a unilateral revised version of the paper "The Problem of the ζ of Riemann Zeta Functions (2N+1)" to the Annals of Mathematics.

There is only one author, Shen Qi, who bears everything alone.

Shen Qi submitted the paper "Orbifold Basic Groups to Characterize the Embryos of the Orbifold Group", which was sponsored by the Swedes and was also one of the four major journals.

After coming to Princeton, Shen Qi submitted papers in three of the four major journals, among which "Proof of the Walsh Conjecture of the Diophantine Equation" was included in the Journal of the American Mathematical Society, and it was this paper that made Shen Qi stand out in the Chinese and American mathematical circles.

The Annals of Mathematics has already rejected Shen Qi once.

Shen Qi has not yet dealt with Acta Mathematica Sinica.

The last one of the four major journals is "Mathematical Inventions" sponsored by the Germans, and Shen Qi does not have a good idea to write a high-quality paper to submit to "Mathematical Inventions" for the time being.

While waiting for the review of the Annals of Mathematics and Acta Mathematica Sinica, Shen Qi concentrated on studying the Riemann conjecture, and he consulted a large number of literatures, from Riemann himself to Hadamad, from Hardy to Ramanujan, and then to the papers and academic monographs of Da Niu who is still alive.

Hilbert once said, "If I were to be resurrected in a hundred years, the first question I would have when I opened my eyes would be, has the Riemann conjecture been solved?"

Hua Luogeng's teacher, the British mathematician Hardy, devoted his life to proving the Riemann conjecture that Hardy was a man who dared to fight against God, but he still failed to defeat Riemann.

On his deathbed, Hardy said that the most regrettable thing in his life was not being able to prove the Riemann hypothesis.

Mr. Hua Luogeng is also a master of analytic number theory, he and Ramanujan are brothers, and they both studied under Hardy when they were studying at Cambridge.

Mr. Hua Luogeng has made outstanding contributions to the distribution of prime numbers and Gechai, and Chen Jingrun is his proud disciple.

Hilbert famously made a prediction at the 1900 Millennium: "I am most concerned with three mathematical problems, the Riemann conjecture, Fermat's theorem, and the α^β conjecture." The Riemann conjecture is expected to be solved within fifty years, and Fermat's theorem is expected to be solved within eighty years. And α^β conjecture is forever beyond the power of mathematicians, and it cannot be solved. ”

Contrary to what Hilbert's allies had predicted, the α^β conjecture was proved by T. Schneider in 1934, Fermat's theorem was proved by Andrew Wiles in 1995, and the Riemann conjecture has not yet been proved.

What is the magic and value of the Riemann conjecture that has fascinated many mathematicians for more than 100 years?

It is generally accepted in the mathematical community that a number of interesting conclusions have been proved from the Riemann conjecture, which do not contradict each other and are far superior to the unconditional results that have been proved.

More importantly, individual inferences were later unconditionally proved, so that the results obtained from the Riemann hypothesis also pointed the way for the study of this problem. This is the important value of the Riemann conjecture.

During the period of concentrating on studying the Riemann conjecture, Shen Qi felt nauseous and vomited from time to time, lost his appetite, dizziness, and his biological clock was disordered.

"If RH is true, then when 1/2 ≤δ≤2, there is ...... Wow, wow!"

Shen Qi vomited again.

After cleaning the floor of the apartment, Shen Qi put the trash can beside him and continued to study the problem that logζ(s) is on the inner side of the half-plane δ>1/2, and s=1 is its logarithmic fulcrum.

"Wow!"

This time, Shen Qi didn't spit on the floor, but all in the trash.

"If I can't prove the Riemann conjecture, I'll ......!"

Shen Qi was red-eyed, and only studied one problem every day, but he never found the most critical point to solve this problem.

Whoever spits it out.

A month and a half after "The Problem of the ζ of Riemann Zeta Functions" was submitted to the Annals of Mathematics, Shen Qi suffered an even worse blow.

"Mr. Shen Qi, on the topic of "The Problem of Riemann Zeta Function ζ (2n+1)", I hope you will fully consider the essence of the problem before submitting a paper to us. It's the second time and we don't want to see the third time, thank you and good luck. ”

This is an email reply from the editor of the Annals of Mathematics, and this time even the reviewer's comments are not attached.

Wow!

Wow wow!

Shen Qi rushed into the bathroom and hugged the toilet and vomited, spitting until there was no food residue to vomit, only acid water gurgling out.

Shen Qi believes that he cannot be wrong in the paper "The Problem of the ζ of Riemann Zeta Function (2n+1)", which was recognized by peer experts, and played a very key role in the subsequent complete proof of the Riemann conjecture.

However, the truth is very cruel, and even Shen Qi's preparation experts do not approve of it, let alone the real knife and the real gun are just facing RH.

Shen Qi was sick and bedridden.

He had never been so sick.