"...Based on the paper published by Professor Zellberg in 1995, I further improved the theory of large sieve by the principle of topology. Then in the proof of the Polygnac conjecture, in order to solve the prime spacing From the promotion of 2 to the difficulty of infinity, I introduced the group theory method in it."

“The key step can be reflected in the first three lines of the second page of the paper. As for some of the previous work on group theory, I will explain it later.”

A pair of double sights gather together.

Feel the look of truth, Lu Zhou facing the stage, turn the ppt over a page, and continue to preach.

"We remember s1(q,a)=∑e(am/q),1(q,a)=∑e(am/q), brought into td(n,q)=∑s1(q,ad) 1(q,ad)e(-an/q)/qψ(q), we can get the absolute convergence of the series δd(n)=∑td(n,q).”

"This step is crucial, from the proof of the weak Goldbach conjecture published by Mr. Herfgot in 13 years."

"However, our goal is different from the round method. We are not trying to perform the Fourier analysis in the number theory on the function on the circle, looking for the upper and lower bounds of uncertainty, but to approximate the distribution of prime numbers."

"From this step, it is the key to the ‘group structure law’...”

In fact, Lu Zhou is not the first person to try to integrate the round method with the big screen method, just as he is not the first person to introduce group theory and topology concepts into the problem of number theory.

A similar attempt, Helfgott has done it, and it is reflected in the paper he published in 13 years.

Although he mainly uses the round method, some of them are also concluded through the large sieve method.

According to his description of the screening method and the round method in an interview, he called the two methods like the front and back sides of the coin. How to use it depends on how you throw the coin.

For the core theory of group structure, Lu Zhou is particularly careful, because this is the essence of the whole paper.

The analytic number theory school of China, which has made outstanding contributions to the study of world number theory, has gone down since the death of Mr. Hua Luogeng, and now it is like a "cultural relic", preserved in Shuimu University, and even used by good people. The term "the whole army is annihilated" has been described.

The reason is that some of the pots have to be backed by old-fashioned learning valves. After all, the voting power of monopoly academicians is indeed excessive. Although there is no money and no status, they can learn. But there is no fresh blood in this environment without a future.

Of course, the pot is not all in others. There are also some reasons for it. It is that later generations cannot make innovations in the theory of the predecessors. After Mr. Hua’s death, his knowledge will stagnate with his life. Not before.

If you want to let the Chinese literary literary school regain its glory internationally, you must inject something new into it.

Lu Zhou hopes that the professor who has heard his lectures can bring his methods or theories back to the classrooms of universities such as Shuimu, Yanda, Aurora, and Kaida, and even in project projects.

Reviving a school, or building a school, is not enough by one's strength.

If someone solves an esoteric mathematical proposition through his theory, he will be honored.

Lu Zhou also believes that the theory of group construction does not stop at Goldbach's conjecture. Many problems of stacking prime numbers can be analyzed through this idea.

"...to the end we introduce the bbieri theorem, we can get the (29) formula in ppt. And through this critical step, find the last line expression."

[px(1,1)≥p(x,x^{1/16})-(1/2)∑px(x,p,x)-q/2-x^(log4)......(30) 】

When I got here, the format of the formula and the paper by Mr. Chen Lao are actually no different.

The group structure method is derived from the large sieve method.

In the end, everything must be returned to the final proposition.

"... From the equation (30), Lemma 8, Lemma 9, Lemma 10, we can finally prove theorem 1, that is, the Goldbach-Land theorem is established."

At the moment when the voice fell, the thousand-person auditorium resounded with warm applause.

Facing the scholars and professors of the audience, Lu Zhou was slightly stunned, and in a round of applause, calmly walked off the platform.

Go back to the scenes.

In the lounge, Lu Zhou saw the close disciple of Professor Feng Keqin from the Shuimu University, Mr. Hua Luogeng.

The old man’s eyes were a little red, and he took a deep breath and said with a whisper in a steady tone.

"Your speech is as shocking as your paper...Thank you!"

Lu Zhou smiled and said modestly: "You have won the prize. I have seen your introduction to algebraic number theory in the library of Jinling University. It inspired me a lot."

"Those things were written before, and now I can't keep up with the times." Mr. Feng Lao was embarrassed to cough and cried, looked at Lu Zhou, paused for a moment, and said in a sincere tone, "In fact, I am writing a This textbook is also about number theory. Your speech just inspired me a lot. I want to write the excerpts of the content of your speech today into the textbook... Can you?"

Writing a book is a very tiring thing. It requires a large amount of literature to be consulted, and it takes a lot of research and takes up a lot of time that should be used for research.

Unless it is a person who is in his later years, it is difficult to make a difference in academics. Otherwise, Lu Zhou himself will never consider doing these things.

However, this must be done by someone.

Lu Zhou readily accepted.

"of course can."

......

The next day, the same hall, Lu Zhou accepted the doctorate of Jinling University and the title of honorary professor.

As a result, the affairs of Jinling University have finally come to an end.

However, Lu Zhou still has an important thing to do before embarking on his journey home.

Before going from Princeton to Stockholm, he received a call from the patent agent named Han Tianyu, telling him that the patent documents of the countries had been obtained and asked him when he had time to come and win.

After making a phone call and making an appointment, Lu Zhou found the patent agent named Han Tianyu and obtained the authorization document for the international patent from him.

So far, basically the patent authorization documents of mainstream countries have been obtained.

These patents have basically covered 80% of the global market, and he can benefit from the use of his technology in the product.

As for the small-scale development of the country's patent authorization, Lu Zhou is not interested in doing it.

Not to mention some developing countries. The various patent exemptions on the WTO, such as some small and medium-sized countries, may not be fully popular, and the industry will develop the market there, fearing that the validity of the patent for 20 years will be It’s not always possible to do it.

At that time, in the laboratory, he might have developed other new technologies.

"The next step is to write a thesis and promote this technology." Looking at the patent documents in his hand, Lu Zhou couldn't help but whisper, "Chemistry... The ticket for the next few years can be up to you."

He has made up his mind.

When the holiday is over, I will start writing when I return to Princeton.

Not only because of money, but also a generous task reward is waiting for him.

As for the completion of the paper, is it "siene"? Still sending "nature"?

This is a question worth considering.