Scholar’s Advanced Technological System

“… Based on the paper published by Professor Zelberg in '95, I have further refined the doctrine of the Grand Screening Method through topological principles. Later, in proving Polynyak's assumptions, I introduced the method of cluster theory to address the difficulty of extending prime spacing from 2 to infinity. ”

“The critical step can be seen in the first three lines of the second page of the paper, and I will cover some of the previous groundbreaking work on the group theory later. ”

A pair of sights converge a little bit.

Feeling that realistic gaze, the ark faces down the stage and turns the PPT over a page to continue the sermon without any compulsion.

“We remember S1 (q, α) = ● e (αm ³ q), C1 (q, α) = ● e (αm ³ q ²), brought to Td (n, q) = ● S1 (q, αd ³) · | C1 (q, αd ³) | ● e (-anq) q● ² (q), where the order δd (n) = ● Td (n, q) is absolutely converged. ”

“This step is crucial, stemming from the 13 years of testimony by Mr. Helfgott about the weak Gothenbach speculation. ”

“But our goal is not the same as the circle method, we are not looking for uncertain upper and lower boundaries for the Fourier analysis in the mathematics of the functions on the circumference, but for approximation of the distribution of prime numbers. ”

“From this point on, it is the key to the 'cluster approach' …”

In fact, the Ark was not the first person to try to combine circular and mega-screen methods, just as he was not the first to introduce the concepts of cluster theory and topology into mathematical questions.

Similar attempts had been made by Helfgott and were reflected in his 13 years of dissertation.

Although he mainly applied the circular method, some of its conclusions were also drawn through the mega-screening method.

According to his own description of the sieve method and the circle method in the interview, he called the two methods as if they were on both sides of the coin, and how to use them depends on how you throw the coin.

For the core theory of the cluster method, the ark speaks with extraordinary detail, because this is the essence of the entire thesis.

The Chinese School of Analytical Mathematics, which once made an outstanding contribution to the study of world mathematics, since the immortal death of Mr. Hua Luog, has gone into decline. It is now like a “cultural relic”, preserved at Shui Wood University, and even good deeds have been described by the term "total military defeat”.

The reason for this is that some of the pots are backed by old school valves. After all, the monopoly on the right to vote of academics is a little excessive. Although there is no money and no status to learn from, there is no future in this environment, which is tantamount to no fresh blood.

Of course, the pot is not entirely on others, but also partly for his own reasons. That is that the later generation is unable to innovate in the theory of the former people. After the death of Mr. Hua Lao alone, his learning stalled with his life.

If China's Analytical Mathematics School is to reappear internationally, it must be injected with something new.

Ark hopes that professors who have heard his lectures will be able to bring his methods or theories back to the classrooms of colleges such as Shui Mu, Yan Da, Zhen Dan, Kai Da, etc., or even to project subjects.

It is not enough to revive a school, or to build a school, on the strength of one person.

He would be honored if someone solved a profound mathematical proposition through his theory.

And the Ark also believes that the theory of cluster methodology goes beyond Gothenbach's assumption that many of the problems of barrier prime numbers can be analysed through this line of thinking.

“… By the end we introduced the Bombieri Theorem, which gives us formula (29) in PPT. And through this critical step, come up with the last line of expression. ”

[Px (1, 1) ≥ P (x, x ^ {116}) - (12) × Px (x, p, x) -Q2-x ^ (log4)... (30)]

Here, the format of the formula is no different from Mr. Chen's paper.

The grouping method is derived from the large screening method.

And eventually, all of this is going back to the final proposition.

“… by formula (30), rationale 8, rationale 9, rationale 10, theorem 1, that is, Godbach-Lu theorem, can finally be proven. ”

As soon as the voice fell, this thousand-person auditorium shouted with warm applause.

Faced with the scholarly professor of the whole field, the ark bowed slightly and walked off the podium in a round of applause.

Back behind the scenes.

In the lounge, the Ark saw the closing disciple of Professor Feng Keqin from Shui Wood University, Mr. Hua Luogeng.

The old man's orbit was a little red, took a deep breath and said in a steady, slightly shivering tone.

“Your speech is as shocking as your thesis… thank you! ”

The Ark laughed and humbly said: "You are so proud that I saw your introduction to algebra in the library at Jinling University, and it inspired me greatly. ”

“Those things were written before, and now they are almost out of time.” Mr. Feng was sorry to cough softly, looked at the ark, paused for a moment, and said in a sincere tone, "Actually, I'm writing a textbook, which is also about mathematics. I was very inspired by your speech earlier, and I would like to include excerpts from your speech today in the textbook... Can I? ”

Writing is a very tiring thing to do, it takes a lot of literature to look at, and it takes a lot of time to do research.

The Ark itself would never consider doing these things unless it was a man of old age who was already academically difficult to build.

But someone has to do it.

The Ark happily promised.

“Absolutely. ”

……

The following day, also in this auditorium, the Ark received its PhD from Jinling University and the title of Professor Emeritus.

Therefore, the matter on this side of Jinling University is finally over.

But before you embark on your journey home, the Ark has one important thing to do.

Prior to his departure from Princeton to Stockholm, he received a call from a patent agent named Han Tianyu, informing him that the national authorization documents for the patents had been obtained and asking him when he would have time to come and take them.

After calling to make an appointment, Ark found a patent agent named Han Tianyu and obtained the authorization documents for the international patent from him.

So far, basically, patent authorization documents from mainstream countries, he's got them.

These patents basically cover 80 percent of the global market, and he can benefit from them as long as someone uses his technology in the product.

As for some of the smaller markets developing... The patent authority of the state, and the ark is not interested in doing so.

Don't say anything about development. Various patent exemption privileges of the State in the WTO, such as some small Central African countries, may not be fully popular in Nokia, and industry may not be able to develop the market there even after 20 years of patent validity.

And by then, maybe in his lab, he was drumming up other new technologies.

“The next step is to write a paper and promote this technology.” Looking at the patent documents in hand, I couldn't help but whisper in the heart of the ark, "Chemistry... you are the only one who can count on the tickets for the next few years. ”

He's got an idea.

When the holidays are over, start writing as soon as you get back to Princeton.

Not just for the money, but a generous mission reward awaits him.

And when the paper is finished, is it "Science"? Or "Nature"?

This is a question worth thinking about.