"Odd, your theoretical system of prime distribution of Riemann zeta function is absolutely correct. Several bigwigs said with certainty.

Among them, Faltins and Lyndon Strauss affirmed 200% that these two Filipino Award winners were technical consultants to the Shen Qi Riemann conjecture team, especially Faltins, who ζ half of the work of the second expression (s) was completed by him.

"It takes a long time to fully and thoroughly digest a new theoretical system," Faltings said. Did you know, odd, the Curant Institute has a team of twenty people who specialize in the theoretical system of prime distributions of Riemann Zeta functions, and their work will probably continue for several years? ”

"That's right. Shen Qi had a coffee with a few bigwigs, chatted for a while, and felt a lot more comfortable.

Shen Qi suddenly thought of a suspicious point: "Charles, Greid, Elon, I don't know if you have noticed, almost all of the people who have recently claimed to have proved Goldbach's conjecture are not well-known scholars, and there are even truck drivers, middle school math teachers and other math enthusiasts in society. I'm a little puzzled, why didn't those top number theory masters make any moves?"

Lyndon Strauss and Faltings smiled at each other and said nothing.

The former is a top master of number theory, while the latter is a master of algebraic geometry and is good at using algebraic geometry methods to solve number theory problems.

Director Peverman told the truth: "Greid and Elon, they have already won the Fields Medal, they are the best mathematics professors in Princeton, they have won all the honor and respect, they don't need to rely on a Goldbach conjecture to put gold on their faces." ”

Director Peverman looked at Shen Qi: "Especially after the publication of the theoretical system of prime distribution of Riemann's Zeta function, anyone who proves Goldbach's conjecture will not be able to get rid of your aura, Qi." Unless that person builds a completely new system, or creates a new way of theoretical system of prime distributions that does not depend on the Riemann Zeta function. ”

Blame me?

Shen Qi spread his hands and smiled, understood.

Times are changing, and the pattern is quietly updated.

In the past, Gochai was a super puzzle of great significance, but after Shen Qi announced the theoretical system of prime distribution of the Riemann Zeta function, the strategic significance of Gochai was downgraded, it is also difficult, it is just a case, it is more like an intelligence test question suitable for high-end players.

Low-end players are eager to prove their skills, but their level is limited.

Some of the high-end players have no desires, and some people may have thoughts about Gechai, but they don't want to live under Shen Qi's aura, they are decent people.

"So the finishing touches on Goldbach's conjecture must be done by you, oddly, it's your obligation. Princeton's scholars will always stand up and take responsibility when the world needs him. Director Peverman said.

"Okay, I'll wrap it up. Shen Qi could only take over this job, and the pit he dug himself had to fill in by himself after all.

"But I've been really busy lately, hey. Shen Qi sighed and said, "The progress of physics has been delayed, some activities must be participated, and I have to go on a business trip to Europe. My girlfriend is not in good health, she is about to enter the doctoral stage, and I have to take care of her. ”

Shen Qi confided in his difficulties in work and life, which immediately attracted the attention of the organization.

The organization helped Shen Qi solve the difficulties, Professor Linden Strauss said: "I have received an application from Ou, she is a very good student, we used to be a team, and it just so happens that I have a doctoral vacancy, Ou can be my doctoral student." ”

Linden Strauss knew Ou Ye, who was a technical advisor to Shen Qi's team, and Ou Ye was a team member.

"It couldn't be better, Elon. A big thing in Shen Qi's heart was done in the middle of talking and laughing, and Ou Ye could become a doctoral student of Lyndon Strauss, a Filipino Prize winner who majored in number theory, which was the situation that Shen Qi wanted to see the most.

"The progress of physics can only be controlled by yourself, Qi, what the department can do is to raise your travel standards to the highest level, and I wish you a great time in Europe. Director Peverman gave Shen Qi some help within the scope of the regulations.

"Thank you. "Shen Qi has to do it if he doesn't do it, the organization can help him solve the difficulties as much as it can, all he has to do is to give the correct proof of Gechai.

At the end of last year, at a high-end party in the fashion industry in New York, several top fashion designers sipped cocktails, hugged supermodels, talked and laughed, and spent a few minutes seemingly casually finalizing this year's popular color - pastel.

In the autumn and winter fashion week in February and March this year, a large number of minimalist design dresses, pants, and skirts were displayed on the runway.

Among the luxury stores on Fifth Avenue in New York, the most popular thing is pastel women's clothing, and Shen Qi just bought a pink and orange CD dress for Ou Ye.

In many industries, trend-setting decisions are often made by a few top bigwigs who have a flash of inspiration and make a decision between talking and laughing.

During the coffee time in the Princeton Department of Mathematics, several bigwigs summed up, and Shen Qi was responsible for the finishing work of Gechai to set the record straight, so he did it and dismissed the meeting.

Shen Qi took some time to revisit his "History of Number Theory" to find inspiration.

In the History of Number Theory, it is written:

In a letter to Euler in 1742, Goldbach proposed the conjecture that any integer greater than 2 could be written as the sum of two prime numbers. ”

Goldbach could not prove this conjecture, and he turned to Euler for help, who was equally helpless. ”

"For more than 200 years, the four main methods of studying Goldbach's conjecture are: primes, sets of exceptions, the three-prime theorem for small variables, and the almost Goldbach problem. ”

Among them, the best result has been achieved in the study of prime numbers, that is, Mr. Chen Jingrun's 1+2. ”

"The Goldbach conjecture of an even number within 1,000 trillion has been confirmed by computers, but the conjecture itself has not yet been proven. ”

Based on the theoretical system of prime distribution of Riemann zeta function in the History of Number Theory, Shen Qi's inspiration soon appeared, and he wrote down a functional construction equation.

"The four mainstream methods of studying Gochai have achieved the ultimate result of 1+2. ”

"It's the century, and the new approach of the century is needed. ”

"The fifth method, the functional construction equation, is that. ”

To perfect the fifth method of Gechai, Shen Qi needs to do some foreshadowing.

Lemma 1: Wilson's theorem

Lemma 2: Euler's formula e^±iθ=cosθ+isinθ

Lemma 3: Fundamental theorems of algebra

Lemma 4: Gamma function properties 1: Γ(x)Γ(1-x)=π/sinπx,0

Lemma 5: Gamma function properties 2: Definition domain x of gamma function {γ∈Z∣γ≤0}, conversely, when x∈{γ∈Z∣γ≤0}, Γ(x)=∞, or Γ(x) is meaningless.

Lemma 6: Under the addition and multiplication of normal complex numbers, the set of rational numbers Q is a field.

Lemma 7: Under the addition and multiplication of ordinary complex numbers, the whole algebra on Q is a field.

According to Lemma 7, Shen Qi easily spent 10 minutes proving Lemma 8.

Lemma 8: If a is an algebraic number and θ is a transcendental number, then the product of a and θ aθ must be a transcendental number.

After the foreshadowing of the eight lemmas was completed and the framework was set up, Shen Qi wrote the core content of the fifth method of Gechai as a matter of course.

This core is a functional construction equation: cos(1+Γ(x)/x+1+Γ(2n-x)/2n-x)π+isin(ρx+b)π=-1

The problem of 1+1 was naturally and skillfully handled by Shen Qi, and finally transformed into the solution of the above-mentioned functional construction equation.

The rigorous solution verifies the construction equation of this function, which is equivalent to solving the Cochai 1+1 problem.

Shen Qi spent three full days on this, and he closed his door, temporarily forgetting the progress of physics, important events in Europe, and the movements of the two graduate students.

But don't forget to call Ouye every day.

Three days later, Shen Qi finished the draft, and there was no problem with the brand-new Gochai Fifth Proof, the function construction equation was solved, and the Gochai 1+1 problem was solved by him. 8)