"… Based on the paper published by Professor Zellberg in 1995, I further improved the large sieve theory through the principles of topology. Then, when I proved the Polignac's conjecture, I introduced the group theory method to solve the problem of generalizing the prime number spacing from 2 to infinity. "
"The key step can be reflected in the first three lines of the second page of the paper. As for the group theory, I will explain it later."
Pairs of eyes gathered on Lu Zhou.
Lu Zhou looked at the audience and flipped the PowerPoint. He then continued to speak calmly.
"We can get the absolute convergence of the series δ d (n) = ∑ Td (n, q).
"This step is very important. It comes from Helfgott's proof of the weak Goldbach's conjecture published in 2013.
"However, our goal is different from the circle method. We are not doing Fourier analysis on a function on a circle to find an uncertain upper and lower bound. Instead, we are doing an approximate estimate of the distribution of prime numbers.
"This step is the key to the 'Group Structure Method' …"
In fact, Lu Zhou was not the first person to try to combine the circle method and the large sieve method, just like he was not the first person to introduce group theory and topology concepts into number theory.
Helfgott had tried this before, and it was reflected in his paper published in 1913.
Although he mainly used the circle method, some of the conclusions were also derived from the large sieve method.
According to his own description of the circle method and sieve method in an interview, he said that the two methods were like the two sides of a coin. How to use them depended on how you tossed the coin.
Lu Zhou's explanation of the core theory of the Group Structure Method was particularly detailed. This was because this was the essence of the entire paper.
China's analytic number theory school, which had made outstanding contributions to the world's number theory research, had declined since the death of Mr. Hua Luogeng. Now, it was like a "cultural relic" that was preserved at Shuimu University. Some people even described it as a "complete annihilation".
Part of the reason was that the old scholars had to take the blame. After all, monopolizing the academician's voting rights was a bit too much. Although it was possible to study without money or status, in this environment, no future meant no new blood.
Of course, the blame was not entirely on others. Part of the reason was due to the fact that later generations were unable to innovate on the theories of their predecessors. After Mr. Hua passed away, his knowledge stagnated along with his life.
If Lu Zhou wanted China's analytic number theory to shine internationally, he had to inject new things into it.
Lu Zhou hoped that the professors who listened to his lectures would bring his methods or theories back to the classrooms of Shuimu University, Yan University, Aurora University, Kai University, and other universities. They might even bring his methods or theories into the projects.
To revive a school or establish a school, it was not enough to rely on the strength of one person.
If someone used his theory to solve a profound mathematical problem, he would feel honored.
Lu Zhou also believed that the Group Structure Method did not stop at Goldbach's conjecture. Many prime number problems could be analyzed using this method.
"… In the end, we introduce Bombieri's theorem, and we can get equation (29) in the PowerPoint. Through this crucial step, we can solve the last line of expression. "
At this point, the formula was no different from Mr. Chen's thesis.
The Group Structure Method originated from the large sieve method.
In the end, everything had to return to the final proposition.
"… From equation (30), Lemma 8, Lemma 9, and Lemma 10, we can finally prove theorem 1, which is the Goldbach-Lu theorem."
As soon as he finished speaking, the auditorium, which could hold a thousand people, was filled with enthusiastic applause.
Lu Zhou faced the scholars and professors in the audience and bowed slightly. He then calmly walked off the podium amidst the applause.
Backstage.
In the lounge, Lu Zhou saw Professor Feng Keqin from Shuimu University, Mr. Hua Luogeng's disciple.
The old man's eyes were a little red. He took a deep breath and spoke in a steady but slightly trembling tone.
"Your speech was as shocking as your thesis … Thank you!"
Lu Zhou smiled and said humbly, "You're too kind. I once read your introduction to algebraic number theory in the Jin Ling University library. It inspired me a lot."
"Those things were written in the past, and they're outdated," said Mr. Feng. He looked at Lu Zhou and paused for a second. He then said in a sincere tone, "Actually, I'm writing a textbook about number theory. Your speech just now inspired me a lot. I want to write an excerpt from your speech into the textbook … Is that okay? "
Writing a textbook was a very tiring thing. It required a lot of literature and research, which took up a lot of time that should have been used for research.
Lu Zhou would never consider doing this unless he was in his later years and it was difficult for him to make any academic achievements.
However, someone had to do it.
Lu Zhou happily agreed.
"Of course."
…
The next day, in the same auditorium, Lu Zhou received his doctorate and honorary professor title from Jin Ling University.
Because of this, the Jin Ling University matter finally came to an end.
However, before embarking on his journey home, Lu Zhou had one more important thing to do.
Before he went from Princeton to Stockholm, he received a call from the patent agent named Han Tianyu. Han Tianyu told him that the patent authorization documents had been obtained and asked when he would be available.
Lu Zhou made an appointment and found the patent agent named Han Tianyu. He obtained the international patent authorization documents from him.
So far, he had obtained patent authorization documents from most of the mainstream countries.
These patents basically covered 80% of the global market. As long as someone used his technology in a product, he would benefit from it.
As for some of the smaller developing countries, Lu Zhou was not interested in doing patent authorization.
Let's not talk about the various patent exemption privileges of some developing countries in the WTO. For example, some small countries in Central Africa might not even be able to popularize Nokia. By the time the industry develops the market there, it might not even be possible to popularize Nokia even after 20 years of patent validity.
By that time, he might have already come up with other new technologies in his laboratory.
"The next step is to write a thesis and promote this technology." As Lu Zhou looked at the patent documents in his hand, he could not help but feel emotional. "Chemistry … I'm counting on you for the next few years."
He made up his mind.
Once his vacation was over, he would start writing when he returned to Princeton.
Not only because of the money, but also because of the generous mission reward waiting for him.
As for publishing the thesis to Science after it was completed? Or should I publish it in Nature?
You've already exceeded your reading limit for today. If you want to read more, please log in.
Login
Select text and click 'Report' to let us know about any bad translation.
