"... From formula (30), Lemma 8, Lemma 9, and Lemma 10, theorem 1 can be finally proved, that is, the Goldbach-Lu theorem is established."
The reason is that some of the blame lies with established academic circles. After all, monopolizing the voting rights of academicians is indeed too much. Although one can do academic work without money or status, having no future in this environment means that there is no fresh blood.
In fact, Lu Zhou was not the first person to try to integrate the circle method and the great sieve method, just as he was not the first person to introduce the concepts of group theory and topology into number theory problems.
Although he mainly used the circle method, some of his conclusions were also obtained through the large sieve method.
"sure."
After calling and making an appointment, Lu Zhou found the patent attorney named Han Tianyu and obtained the international patent authorization document from him.
"... In the end, we introduce Bombieri's theorem and can get the formula (29) in the PPT. And through this critical step, we can find the last line of expression."
"Those things were written in the past, and they are almost out of date now," Mr. Feng coughed slightly in embarrassment, looked at Lu Zhou, paused for a moment, and said in a sincere tone, "Actually, I am writing something This textbook is also about number theory. Your speech just now inspired me a lot, and I would like to include the excerpts of your speech today into the textbook... Is that okay?"
Lu Zhou smiled and said humbly: "Thank you for your praise. I once read your introduction to algebraic number theory in the library of Jinling University. It inspired me a lot."
"Your speech is as shocking as your paper... Thank you!"
The group construction method is derived from the large sieve method.
Not only because of the money, but also a generous mission reward is waiting for him.
The Chinese School of Analytical Number Theory, which once made outstanding contributions to the world's number theory research, has been in decline since the death of Mr. Hua Luogeng. Now it is like a "cultural relic", preserved in Shuimu University, and even used by good people " The word "annihilated the entire army" was used to describe it.
At this point, the format of the calculation is actually no different from Mr. Chen’s paper.
Back behind the scenes.
With this, the affairs at Jinling University finally come to an end.
Regarding the core theory of group structure method, Lu Zhou was particularly detailed because this is the essence of the entire paper.
Lu Zhou also believes that the theory of group structure method does not stop at Goldbach's conjecture. Many problems of stacking prime numbers can be analyzed through this line of thinking.
If someone solved a profound mathematical proposition through his theory, he would be honored.
"Starting from this step is the key to the 'Group Construction Method'..."
"However, our goal is different from that of the circle method. We are not doing Fourier analysis in number theory to find uncertain upper and lower bounds for functions on the circumference, but to make an approximate estimate of the distribution of prime numbers."
Feeling the truth-seeking gaze, Lu Zhou faced the audience, turned the page of the PPT, and continued to preach calmly.
Not to mention the various patent exemption privileges of some developing countries in the WTO, such as some small Central African countries, maybe Nokia has not been fully popularized. When the industry develops the market there, the 20-year patent validity period may have expired. It may not even be possible.
As for when the paper is completed, will it be published in Science? Or publish "Nature"
Unless he is in his later years and it is difficult to make academic achievements, Lu Zhou himself would never consider doing these things.
Facing the scholars and professors present, Lu Zhou bowed slightly and calmly walked off the stage amidst applause.
The next day, in the same auditorium, Lu Zhou accepted a doctorate from Jinling University and the title of honorary professor.
…
"The next step is to write a paper and promote this technology." Looking at the patent document in his hand, Lu Zhou couldn't help but sigh in his heart, "Chemistry... my meal tickets in the next few years will all depend on you."
"We record S1 (q, α) = ∑e (αm cubed/q), C1 (q, α) = ∑e (αm cubed/q squared), and bring it into Td (n, q) = ∑S1 (q , αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q), we can get the absolute convergence of the series δd(n)=∑Td(n,q).”
So far, he has basically obtained patent authorization documents from mainstream countries.
Of course, the fault is not all the fault of others. Part of the reason comes from oneself, that is, later generations are unable to make innovations in the theories of their predecessors. After Mr. Hua passed away, his knowledge stagnated along with his life. Not forward.
"...Based on the paper published by Professor Zelberg in 1995, I further improved the theory of the grand sieve method through the principles of topology. Then when proving the Polignac conjecture, in order to solve the problem, the distance between prime numbers was changed from 2 To solve the difficulty of generalizing to infinity, I introduced the method of group theory."
"This step is crucial and comes from the proof of the weak Goldbach conjecture published by Mr. Helfgott in 2013."
As for patent licensing in developing countries with smaller markets, Lu Zhou is no longer interested in doing so.
Lu Zhou happily agreed.
The pair of eyes converged a little.
These patents basically cover 80% of the global market. As long as someone uses his technology in a product, he can benefit from it.
Before heading to Stockholm from Princeton, he received a call from the patent attorney named Han Tianyu, telling him that the patent authorization documents from various countries had been obtained, and asked him when he would have time to come and get them.
The old gentleman's eyes were a little red, he took a deep breath, and spoke in a calm tone with a slight tremor.
To revive a school of thought, or to establish a school of thought, it is not enough to rely on the strength of one person.
In the lounge, Lu Zhou saw Professor Feng Keqin from Shuimu University, a close disciple of Mr. Hua Luogeng.
[Px(1,1)≥P(x,x^{1/16})-(1/2)∑Px(x,p,x)-Q/2-x^(log4)… (30)]
However, someone has to do this.
Writing a book is a very tiring task. It requires consulting a large amount of literature and conducting research everywhere, which takes up a lot of time that should be spent on research.
And by then, maybe other new technologies will be developed in his laboratory.
If we want the Chinese school of analytic number theory to shine again internationally, we must inject new things into it.
Lu Zhou hopes that professors who have listened to his lectures can bring his methods or theories back to the classrooms of Shuimu, Yanda, Aurora, Kaida and other universities, or even to project topics.
He had made up his mind.
According to his own description of the sieve method and the circle method in an interview, he called the two methods like the pros and cons of a coin. How to use them depends on how you toss the coin.
After the vacation is over, I will start writing as soon as I return to Princeton.
The moment the words fell, the auditorium with a capacity of 1,000 people burst into warm applause.
"The key step can be reflected in the first three lines of the second page of the paper. As for some of the preliminary work on group theory, I will explain it later."
This is a question worth thinking about.
Helfgott had made a similar attempt, and it was reflected in the paper he published in 2013.
And in the end, everything must return to the final proposition.
But before embarking on the journey home, Lu Zhou had one more important thing to do.