Scholar’s Advanced Technological System

"... Based on the paper published by Professor Zellberg in 1995, I further improved the large sieve theory by using the principle of topology. Then, when proving Polignac's conjecture, in order to solve the problem of changing the prime distance from 2 to the difficulty of infinity, and 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 dissertation. As for some preparatory work on group theory, I will explain it later."

A pair of sights meet.

Feeling the truthfulness of sight, Lu Zhou faced the audience, turned ppt over a page, and continued to preach calmly.

"We remember that s1 = ∑e, 1 = Σe, and bring it to td = Σs11e / qψ, and we can get the absolute convergence of the series δd = Σtd."

"This step is crucial, derived from the proof of the weak Goldbach conjecture published by Mr. Helfgot in 2013."

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

"From this step, it is the key to the" group formation method "..."

In fact, Lu Zhou was not the first person to try to fuse the circle method and the large sieve method, just as he was not the first person to introduce the concepts of group theory and topology to the problem of number theory.

A similar attempt was made by Helfgott, and it is reflected in the paper he published in 13 years.

Although he mainly used the circle method, some of the conclusions were also drawn through the large sieve method.

According to his own description of the sieve method and the circle method in an interview, he called the two methods like the front and back of a coin. How to use it depends on how you toss the coin.

As for the core theory of group construction method, Lu Zhou talked about it very carefully, because this is the essence of the whole thesis.

The Chinese Analytic Number Theory School, which has made outstanding contributions to the world number theory research, has declined since the death of Mr. Hua Luogeng, and now it is like a "relic". It is preserved at Mizuki University. The term "annihilation" was used to describe it.

The reason is that some of the pots have to be backed up by the old-fashioned academics. After all, the monopoly academician's voting right is indeed too much. Although there is no money and status, you can also learn.

Of course, the pot is not all on others, and part of the reason comes from itself, that is, the posterity cannot make innovations in the theory of the predecessors. After the death of Mr. Hua Lao, his knowledge stagnated with his life Not forward.

If the Huaguo School of Analytic Number Theory is to regain its international glory, it must inject new things into it.

Lu Zhou hopes that the professors who have heard his lectures can bring his method or theory back to the classrooms of Shuimu, Yanda, Aurora, Kaida, etc., and even project topics.

To revive a school, or to build a school, it is not enough to rely on one's own strength.

He would be honored if someone solved some esoteric mathematical proposition through his theory.

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

"... At the end we introduce the bbieri theorem, and we can get the formula in ppt. And through this crucial step, find the last line of expression."

At this point, the format of the formula is no different from that of Mr. Chen.

The group structure method originates from the large sieve method.

And in the end, everything must return to the final proposition.

"... From Formula, Lemma 8, Lemma 9, Lemma 10, we can finally prove Theorem 1, that Goldbach-Lu theorem holds."

When the voice fell, the applause in this thousand-person auditorium rang out.

Facing the audience of scholars and professors, Lu Zhou bowed slightly and walked off the podium calmly with applause.

Back to the background.

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

The old man's eyes were a little red, and he took a deep breath, and said with a slight tremor in his steady voice.

"Your speech is as shocking as your thesis ... 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, and it inspired me a lot."

"Those things were written before, and now they can hardly keep up with the times," Mr. Feng coughed slightly, looked at Lu Zhou, paused for a moment, and said in a sincere tone, "Actually I was writing a This textbook is also about number theory. The speech you gave me was very enlightening. I want to write an excerpt from the content of your speech today into the textbook ... Can you please? "

Writing a book is a very tiring task, requiring a lot of literature to be checked and researched everywhere, taking up a lot of time that should have been used for research.

Unless it is difficult for a person to achieve success academically in his old age, Lu Zhou himself would never consider doing these things.

However, someone has to do it.

Lu Zhou gladly agreed.

"of course can."

...

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

As a result, the incident on Jinling University has come to an end.

But before embarking on the journey home, Lu Zhou had one more important thing to do.

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

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

So far, he has obtained the patent authorization documents of the mainstream countries.

These patents have basically covered 80% of the global market, as long as someone uses his technology in the product, he can benefit from it.

As for the patent grants of some developing countries with smaller market sizes, Lu Zhou was not interested in doing so.

Not to mention some developing countries. Various patent exemption privileges on the WTO, such as some small Central African countries, maybe Nokia is not fully popular. When the industry develops the market there, I am afraid that the 20-year patent is valid. It's not always possible to get past it.

By that time, maybe in his laboratory, he was working on other new technologies.

"The next step is to write a dissertation and promote this technology." Looking at the patent documents in his hands, Lu Zhou couldn't help but sigh with emotion, "Chemistry ... I can rely on you for the next few years."

He has made up his mind.

When the holidays were over, I started writing as soon as I returned to Princeton.

Not just because of money, but also a huge task rewards are waiting for him.

As for the dissertation, what happened? Still send it?

This is a question worth thinking about.