In the room with silver trees decorating the walls, there are many pictures of children.
In a public speech to teachers, students and the public at Peking University, Zhang Yitang, a Chinese-American mathematician and a professor at the University of California, Santa Barbara, used a whiteboard and a black marker to handwrite a demonstration of the Landau-Siegel zero-point conjecture (the Landau-Siegel Zeros Conjecture) related proof formula, and explain the innovation.
He spoke in Chinese throughout the whole process and did not use PPT (presentation).
The relevant WeChat official account of Peking University announced the academic report three days in advance, and announced the way to watch the webcast.
The Paper noticed that as of 10 am on November 8, 37,000 people had watched the live broadcast of this "niche" academic report on a single platform.
At the beginning of the speech, Zhang Yitang first introduced what is the Landau-Siegel zero-point conjecture.
A conjecture that asserts that the "Landau-Siegel zero" does not exist is called the Landau-Siegel zero conjecture. The "Landau-Siegel zero" is defined as a counterexample to the generalized Riemann conjecture.
On the morning of November 8th, Professor Zhang Yitang gave a speech on the Landau-Siegel zero-point conjecture
Before the official start of the proof-of-interpretation process. He emphasized, "Some people even think that the Riemann hypothesis is wrong. I repeat, I don't have the ability. I only partially solve the Riemann hypothesis within a certain range. It should be correct. If I overturn the Riemann hypothesis. Mann assumes that few people will believe it."
In addition, Zhang Yitang said that he has essentially proved the Landau-Siegel zero-point conjecture. Just like his previous results on the twin prime conjecture, the results can be improved. At present, the correlation index of the proof of Landau-Siegel's zero-point conjecture has reached 2024, which is "fortunate." This result can be improved. "How much can the index 2024 be improved? I think I can get at least a few hundred. But getting 1? My way is not enough. "
"If you replace 2024 here with 1, you get the Landau-Siegel zero-point conjecture in its original form. Although 2024 is greater than 1, it is not substantially different from 1 in the mathematical sense."
After Professor Zhang Yitang gave an academic report for Shandong University on November 5th, at 11:05 am on the 6th, the professor and doctoral supervisor of the School of Mathematics of Shandong University, the former deputy dean of the School of Mathematics of Shandong University, and the Australian National University of Shandong University released the WeChat public account of Shandong University. According to an article jointly written by Lu Guangshi, Executive Dean of Lianhe University, Huang Bingrong, a professor and doctoral supervisor of the Data Science Research Institute of Shandong University, and others.
The article states that Professor Zhang Yitang's latest preprint paper proves that the real feature L-function of modulo D has no real zeros in the interval (1−c(logD)^−2024,1].
In the question-and-answer session of the speech, someone asked, can it be used to improve the "boundary" of the twin prime number conjecture?
Zhang Yitang replied, "I'm thinking about this now. Since Selberg (Norwegian mathematician Atle Selberg) defined a square method, I believe that many people have thought about it. Can I get rid of this square. On the Landau-Siegel zero problem, my key breakthrough is that I got rid of the square, and I can also prove that x(n) is not all non-negative. Then on other problems, the sieve method , On the issue of parsing, whether there is an application (possibility), this can be considered. I will also think about this aspect.”
Zhang Yitang published "Bounded Intervals between Prime Numbers" in Annals of Mathematics on April 17, 2013, and proved for the first time that there are infinitely many pairs of prime numbers (p, q), where the difference between each pair of prime numbers , that is, the distance between p and q, not more than 70 million. This has made breakthrough work for the solution of the century problem "twin prime conjecture", and he has risen from an obscure university lecturer to the ranks of the world's heavyweight mathematicians. Subsequently, the number "70 million" was improved to 600 and 246 by peers in the mathematics community.
On May 29, 2007, Zhang Yitang submitted a paper titled "On the Landau-Siegel Zeros Conjecture" on the preprint website arXiv. The paper has a total of 54 pages and 13 sections in the main text. "We provide a proof of a variant of the Landau-Siegel zero-point conjecture," the paper said.
Fifteen years later, Zhang Yitang republished his paper on the Landau-Siegel zero-point conjecture. Two days after the internal outflow, on November 7, 2022, its latest paper was officially released on the preprint website arXiv. The title of the paper is Discrete mean estimates and the Landau-Siegel Zero. The full text is 111 pages, with 18 sections in the text.
