Chapter 213 The people in the School of Mathematics are really crazy "Are you sure it's the twin prime conjecture and not Cramer's theorem?" Xu Qingzhou looked strange. It is very common for someone to want to falsify a mathematical conjecture after it has been proven. Even for Fermat's Last Theorem, which has been proven for many years, some people are now thinking about how to find counterexamples. It is understandable if someone wants to find errors in his proof of Cramer's theorem, but the proof of the twin prime conjecture was only published online three days ago. “Yes, it’s the twin prime conjecture.” Ren Chujun nodded affirmatively, looking at Xu Qingzhou who was very calm, she couldn't help but feel a little puzzled: "Are you not worried at all?" "I'm not worried. Instead, I'm a little excited." Xu Qingzhou said in a deep voice. "." This kind of scene is like someone slapping you in the face, but the person involved shows a weird smile. Hehehe, just hit me, the more you hit me the more excited I get!
Ren Chujun's face was solemn. He had heard before that all the mathematicians at Peking University were crazy. Now that he saw it, it seemed to be true. The reason why Xu Qingzhou is not worried at all is that proven mathematical conjectures like this are extremely difficult to disprove, unless one finds a logical error in the original proof or proposes a completely new argument that contradicts the original proof. The former is unlikely, not to mention that he himself has checked it countless times, and after submitting it, it was also verified by 6 top mathematicians. As for the latter, if this guy could provide a completely new perspective, he would have taken the lead long ago, and there would be no need for him to pretend. Xu Qingzhou quickly packed up his things and followed Ren Chujun out, wanting to see which general could be so brave. At the same time, he was still a little curious about the angle from which the other party could refute him. Unfortunately, before the two of them could see the wonderful rebuttal argument, the warrior had already died halfway through. He took the things and quietly slipped away. Xu Qingzhou could vaguely see the other's sloppy back. He was tall and thin, wearing a washed-out brown jacket, which reminded Xu Qingzhou of Tang Zhijun in the "Space Exploration Editorial Department". There are still several rows of formulas left on the blackboard. [Let n be a positive integer, p be a prime number not greater than √(n+2), and let m and (m+2) differ by 2. If m≠0modp, when p≥5, the remaining congruent numbers are greater than the number without the congruent numbers, and p≤√(n+2).] Next to these formulas, there are two more rows of formulas. Judging from the handwriting, they were written by another person. As for the content, just two formulas destroyed all the previous arguments of the person who wanted to falsify the formulas. Senior Brother Zhang Hong came over and sighed, "He's a math enthusiast who must have sneaked in. He said a lot here, and Professor Feng couldn't stand it anymore, so he went up to point out his mistakes." Xu Qingzhou sighed. The other party pointed out the problematic point, which happened to be the place where he wrote the asymptotic formula by guessing. As for the formula on the blackboard, after just a few glances, he had found no less than three logical errors. For example, at the beginning, B(n) is not well defined, and it is not defined that 0 is coprime with a positive integer. He discovered that this senior brother with two dark circles under his eyes seemed to have the same characteristics as the man just now, and had an obsession with mathematics like a demon. The difference is that Senior Brother Zhang is rational and does not pursue castles in the air. He accidentally saw Senior Brother Zhang's information a few days ago. There were more than a dozen SCI papers, including some in Zone 1. His best areas were the improvement of Modi function and RSA algorithm based on large number decomposition problems. He was considered an expert. It's a typical academic master template. Studying mathematics usually requires a solid mathematical foundation and rigorous logical reasoning ability, which are what most amateur scientists lack.
Zhang Hong invited: "There is a seminar on the characteristic theory of finite Abelian groups over there. Do you want to go and have a look?" "I still have a discussion meeting." Xu Qingzhou said helplessly. "I almost forgot that you are the protagonist today." Zhang Hong patted his head and forced a pale smile on his face: "Okay, I won't bother you then." "Goodbye, Senior Brother." Xu Qingzhou wanted to tell Brother Zhang to take care of his health, but then he remembered that people had often told him not to work too hard, but he also didn't listen at the time, so he gave up. In classroom 209, there were about a dozen people waiting, mostly foreigners. "Hi, Xu, nice to see you again." Professor Maynard greeted Xu Qingzhou with a smile. Xu Qingzhou stretched out his hand: "Professor Maynard." After shaking hands, Professor Maynard introduced the white-haired old man next to him to Xu Qingzhou and said, "This is Professor Gerrit Boyle from Princeton." "Hello, Professor Boyle." Xu Qingzhou extended his hand again. He did not expect that this person was one of the external reviewers of his paper. Professor Boyle nodded with a smile: "Mr. Xu, we finally meet. Your argument is very interesting." "Thank you." Xu Qingzhou thanked. "I have an old friend, Terence Chi-Shen Tao, who wanted to come, but unfortunately, there was a problem with his schedule." "It's really a pity, but I believe there will be a chance." Xu Qingzhou was surprised for a moment, then said with a smile. Terence Chi-Shen Tao is the famous Chinese-American mathematician Terence Tao. Although he mainly engages in the research of harmonic analysis, partial differential equations, and combinatorial mathematics, he also dabbles in prime numbers. There was no excessive small talk and everyone quickly got to the point. Unlike the formal report just now, Xu Qingzhou selected a few more important points for description, skipping the previous introduction and going directly to the part of improving the sieve method, and then to exploring the rules of prime numbers. Then, everyone asked questions and Xu Qingzhou was responsible for answering them. The seminar ended at around 12 o'clock. “You might consider delving deeper into algebraic geometry, which is more closely related to algebraic number theory, and it can give us another perspective on the zeta function, which can be linked to a fundamental technique called cohomology.” Professor Boyle was amazed at Xu Qingzhou's youth and erudition. He paused and continued, "Perhaps, this method will be more likely to prove the Riemann hypothesis." He is familiar with the prime number theorem and has a high level of attainment in algebraic geometry. The young people of Xia country are so amazing. Xu Qingzhou thought about it for a moment, then smiled and shook his head, "This question is still too difficult for me. If I have the chance, I might work towards this direction." The twin prime conjecture alone troubled him for half a year, not to mention the Riemann hypothesis, which was at the top of the list. Professor Maynard is very capable, but there has still been only a little progress. Although he was reborn and always felt like he was cheating, Xu Qingzhou was not so stubborn as to go straight to the Riemann hypothesis. Moreover, his next focus in mathematics is the Polignac conjecture. In the afternoon, after listening to the lecture, Xu Qingzhou went to classroom 209 again.
Professor Boyle went to see his old friend Mr. Wang Yiyuan. In addition to his interest in Xu Qingzhou, he also came at the invitation of Mr. Wang to participate in the discussion on the sieve function of the Goldbach conjecture. In the symposium, the main speakers and discussers were Professor Xu Qingzhou and Professor Maynard, with other scholars occasionally adding some additional views. (End of this chapter)
