I just want to be a quiet scholar

Chapter 264 I want to see the formula

"Riemann published a paper in 1859 entitled "On the Number of Prime Numbers Not Greater than a Given Value", which has only 8 pages. This is his only publicly published paper on number theory."

"It was these 8 pages that laid the foundation for analytic number theory."

"It can be seen that a long history does not necessarily require a large number of words, and the quality of the article will always rank first."

"We don't know what reason Riemann made such a conjecture in 1859, perhaps it is a genius intuition.

"RH is equivalent to saying that all zeros of Ξ(ω) are real."

"Riemann also said that of course a proof is needed for this. He did such a proof, but he did not publish it because a core expression was not simplified to a public level. This is the biggest mystery in the history of number theory."

"Similar to the above words, you can see it in any mathematics book or any paper, but the content described by the author is the first published original..."

Shen Qi wrote his "History of Number Theory" with great passion, and his enthusiasm for writing was soaring when there was some solid content.

"Let the set of non-apparent zeros of the Riemann zeta function be:
{ρ1, 1-ρ1, ρ2, 1-ρ2, ..., ρk, 1-ρk, ... ρn, 1-ρn}
The aggregate formula is represented as:
Any two non-obvious zeros with the characteristics of 'the sum is 1 and the absolute value of the imaginary part is the same' are matched as a pair.

For the sake of convenience, the author calls this new approach the 'twin matching method'.

Next, the author will derive the core expression of ζ(s) through the 'twin matching method'. "

Shen Qi wrote furiously, the core expression of ζ(s) is really going to be deduced by himself, and the Riemann conjecture is really going to be proved by himself, then this "History of Number Theory" will definitely be a big hit, and the book will become a god!

The "Twin Matching Method" is the inspiration Shen Qi just realized, his original creation.

The number game will end one day, and Shen Qi decided to end the game of Riemann's conjecture.

Excited and unable to sleep, Shen Qi has been working till dawn.

“所以在‘双生匹配法’的处理下，ζ（s）的核心表达式应该是：ζ（s）=e^A+Bs∏∞n=1（1-s/ρn）（1-s/1-ρn）e^（s/ρn+s/1-ρn）……原来是这样……”

Shen Qi stood up, stretched his muscles and bones, looked at the rising sun outside the window calmly, and smiled.

The numbers game is not over, but Shen Qi has found the right way, which is a very important breakthrough.

"So, the unpublished expression mentioned by Riemann is not one, but two, or even three, the word 'one' is not properly described, it should be 'group', to fully prove Riemann's conjecture, need A core set of expressions."

Shen Qi fought all night and discovered a big secret. The whole world has been tricked by Riemann for more than 100 years.

Whether it was due to a clerical error or a deliberate typo by Riemann, no one can say clearly.

This big secret, Shen Qi told his girlfriend immediately through the phone: "I think I have found a solution to RH, I created a new way to deal with it, let me tell you about the general settings... ..."

"There's no evidence for what you say, I want to see the pattern!" Ouye on the other end of the phone was excited.

Shen Qi: "If my 'twin matching method' is used to prove that there should be a set of core expressions of RH, I have already deduced one of them. I am going to visit Professor Gong at Columbia University next week. He is the top in this field. Expert, I want to hear his opinions and suggestions. I will show you the formula next week, and I need to improve it."

Ouye: "I said to come see me in a month, and it's really only a month. Well, see you next week."

After hanging up the phone, Shen Qi fell asleep for a while, and after getting up, he continued to deduce another expression that existed in theory.

However, the problem is that based on the "twin matching method" and the first expression, the second expression cannot be obtained anyway.

"Hey, I have tasted a little bit of sweetness, but I want to get everything. It would be great if I can be promoted to level 13." Shen Qi looked at the system. Publish more than 12 papers in the four major journals.

From September last year to the present, a year and a half has passed, and Shen Qi has published three papers in the four major journals and ten new papers in the four major journals. It will take several years.

"I need to listen to the opinions of the masses extensively, make full use of Princeton's superior resources, and win this important battle through team strength."

Shen Qi walked towards Professor Muller's office, he knew that Professor Muller's mind was clear.

A year ago, Muller arranged for Shen Qi and Mary to jointly complete a project and deduce two recursive expressions of ζ(s).

For various reasons, the project was screwed up.

But Professor Muller's intuition is accurate, he is German, and he must have studied Riemann's German manuscript.

Professor Muller has long had a hunch that there is more than one "undisclosed expression" that Riemann said.

"Jiang is still old and spicy. It is getting more and more difficult for the old Muller to complete high-intensity and big data calculations and derivations, but his strategic vision and mathematical intuition are extremely keen." Shen Qi now understands Professor Muller more and more, and Lu Yao Knowing the horsepower, you can only discover his true strengths and weaknesses after being in contact with a person for a long time.

Mueller's office.

Shen Qi wrote on the blackboard the setting principle of the "twin matching method" and the first expression.

"God!" Mueller was shocked. He stared at the blackboard, speechless for a long time.

Shen Qi tapped on the blackboard: "Professor Muller, what do you think of my new settings?"

The old man Muller was talking about being a teenager, and he danced with excitement: "Only with this new 'twin matching method' and the first expression, Shen Qi, you are qualified to give a report at the International Congress of Mathematicians. IMU should at least I'll give you 30 minutes to report! This is a major breakthrough in the Riemann Hypothesis! If you can derive all the expressions that exist in theory, God, the Riemann Hypothesis will be solved!"

Shen Qi said calmly: "Professor Muller, I need your help, I need the help of the whole team. Recalling your point of view with Mary a year ago, I found that I was very stupid and stubborn. Now, Let the battleship Muller set sail again, and I hope that through the strength of the team and the proper deployment of resources within the department, the proof of RH will be finally completed."

Mueller was both surprised and relieved: "Are you sure you want to do this, Qi? Now you are fully capable of being responsible for RH's proof work alone. After a few months, I will no longer be your mentor. subject."

Shen Qi smiled and said: "Alan, even if you are not my mentor, we can still be partners. Thank you for taking care of me over the past year and giving me a free academic environment, which has played a key role in my growth role. Remember the 'Muller-Sink theorem', we will always be partners, this theorem will always exist."

(End of this chapter)