Chapter 181 No, he really can? In the lecture hall, everyone's eyes were fixed on the young figure on the podium. Some people have roughly guessed Xu Qingzhou's identity and showed curious expressions, while others are skeptical. Can a young man in his twenties really participate in the research of the world's top mathematicians just by listening to a report? Academician Xu Shihui looked emotional, thinking that no wonder Mr. Gu loved this student so much. His words and actions were natural and generous, and at such a young age he already had the temperament of a great mathematician. Next to him, Zhao Zhenglai had already shouted in his heart: Junior brother is so awesome! sand~sand~ In front of the blackboard, Xu Qingzhou had already written out the first formula and said, "Based on the location of the large value point of the Dirichlet series, we can transform the problem into a study of energy distribution, which may allow us to more accurately estimate the frequency of large values." "Your idea is very interesting." Professor Maynard exclaimed, picked up the chalk and did some calculations next to the formula. The mathematicians sitting in the audience also wasted no time and had already picked up their manuscripts to check their calculations. In the crowd, the Indian guy looked a little uncomfortable when he heard Professor Maynard's evaluation of Xu Qingzhou. Fuck, this Xia guy seems to be really something. Catherine stared at Xu Qingzhou and felt that this man seemed to be becoming more and more interesting. He was smart and steady, but too cold. Especially when doing mathematical calculations, he lacked warmth. She didn't like falling in love with such a man. 5 minutes passed quietly.
Looking at the calculation results, Professor Maynard was surprised, "Perfect!" "The Riemann hypothesis tells us that for any σ>1/2, N(σ, T) is 0. We divide the problem into three cases: small, medium, and large additive energy E(W), and deal with each different case by changing the parameters." Professor Maynard continued writing on the blackboard. "Here, we need to mark out the precise form of the phase function tlogn implied in the Dirichlet series." Xu Qingzhou occasionally interjected. "Yes, that's it!" Looking at Xu Qingzhou who was chatting and laughing with Professor Maynard, the jealousy in the Indian boy's heart could no longer be expressed in words, and the corners of his mouth were twitching. No, how could he really do that? ? ? Some people at the scene looked emotional, thinking of the saying that the results of your lifelong efforts are nothing more than what a genius can get after staying up for a few nights. 10 minutes passed. There are two more blackboards with formulas in the lecture hall. 【$\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s}】 In fact, at this time, the lecture time had already ended, but no one had the idea of leaving. They all looked at the two figures on the stage. However, at this point, both Xu Qingzhou and Professor Maynard were stumped and could not think of how to proceed. "Gentlemen." At this time, an old man wearing glasses came up. Professor Maynard greeted, "Mr. Randolph." Xu Qingzhou also greeted them. Perry Randolph was also invited to give a report and was an expert in the field of harmonic analysis. Ferry Randolph smiled and waved his hand, staring at the formula written by Xu Qingzhou and Professor Maynard, and said: “If, instead of using the more general exponential sums that people encounter in harmonic analysis, we use the special properties of exponential sums that appear in analytic number theory, we might gain something else.” Xu Qingzhou was a little surprised that this big shot in the field of harmonic analysis actually recommended something about analytic number theory. Perhaps, it was because he was very familiar with harmonic analysis that he knew that there would be no solution using this? Professor Maynard thought about it for a moment and nodded, "We can try." As he spoke, he started writing on the blackboard. Below the stage, Academician Xu Shihui and Zhao Zhenglai both had complicated expressions.
Academician Xu Shihui sighed and said, "It seems that the talent of this student from our School of Mathematics is far more terrifying than we imagined." Zhao Zhenglai agreed: "Yes, Junior Brother Xu told me this morning that he is studying the twin prime conjecture." "Twin prime conjecture?" Academician Xu Shihui was stunned for a moment. "Yes." "Tsk tsk, the little guy is very energetic." Another 20 minutes passed, and there were still few people leaving the lecture hall. On the podium, new ideas once again encountered a bottleneck. Professor Maynard stopped, feeling a little disappointed. Based on known calculations, this path was simply not feasible. Xu Qingzhou frowned slightly, staring at all the calculation steps, and recalled all the details that Professor Maynard had told him before. The first steps are standard, based on Fourier analysis, raising the key phase matrix n^(it) to the sixth power and then. His eyes narrowed. No, the following calculations would be biased. He needed to go back to the previous step! "Fourier analysis." Xu Qingzhou said the word. Yes, the key lies in Fourier analysis. It is the cornerstone framework of the entire paper. If there is a problem with it, no matter what method is used later, it will be useless, just like what was just done. The Indian guy was happy in his heart. Professor Maynard's paper was based on Fourier analysis. If there was a problem with the Fourier analysis, wouldn't it mean that Professor Maynard's entire research was wrong? Catherine waited for Xu Qingzhou's explanation with great interest. Many others also doubted whether Xu Qingzhou had any new ideas. Professor Maynard and Professor Randolph both looked at Xu Qingzhou, wanting to know what he meant. Xu Qingzhou proposed: "Instead of using the stationary phase method to simplify the Fourier integral, we can give in on the exponent to retain a factorization form that ultimately proves to be more useful than the stationary phase approximation." "Not using the steady phase method?" Professor Maynard was surprised. Xu Qingzhou nodded, picked up the chalk and began to adjust the calculation formula. In the lecture hall, most people still did not leave. Some did so because they really expected the three people above to produce outstanding results, while others just wanted to join in the fun. This kind of brainstorming session is what people talk about the most. Everyone was very quiet, watching the formulas appearing on the blackboard. The staff were also waiting patiently by the side to see if these mathematicians needed help wiping the blackboard or something. Professor Maynard stared at the formula written by Xu Qingzhou, sometimes he suddenly realized, sometimes he was surprised, or he fell into deep thought. The mathematicians in the audience also had a hint of excitement on their faces. If nothing goes wrong, this young man's method is indeed feasible! "call." In front of the podium, Xu Qingzhou stopped writing chalk, looked up at the blackboard, slowly exhaled, and then turned to look at Professor Maynard: "Sorry, these are my thoughts for now." "No, Xu, I have to thank you. You have given us a brand new idea!" Professor Maynard shook hands with Xu Qingzhou to express his gratitude. "Xu? He is the prover of Cramer's theorem." "Xu Qingzhou."
"He is a rising star in mathematics. I guarantee that within ten years, this young man's name will be on the list of winners of the Philistine Medal." When they heard Maynard address them as Professor, some people reacted and looked at Xu Qingzhou. Their eyes were full of amazement, and they lamented that Xu Qingzhou was too young. (End of this chapter)