Chapter 305 This guy is really not modest It only takes thirty to forty minutes to get from Kyoto University to Kyoto Normal University, but Xu Qingzhou plans to stay in the hotel for the next few days and concentrate on calculating the Polignac conjecture. Come back home? Xu Qingzhou couldn't help but think of the opening dedication written by Joseph Rotman in "Introduction to Algebraic Topology". Dedicated to my wife Magnet and my children Ella Rose and Daniel Adam, without whom this book would have been completed two years ago. School Beauty Song is too strict. If you stay up late, you will be beaten. I have been living a regular life for several months, so it’s not a big problem to secretly endure a few days. While walking, Xu Qingzhou was thinking about the Polignac conjecture. He still needed to figure out the upper bound of T first, and then integrate these results to get the upper bound of M. Just out of the lecture hall door. "You are very powerful." A voice came from behind Xu Qingzhou.
He answered subconsciously: "Routine operation." After saying that, Xu Qingzhou came back to his senses, turned around, and saw a young man standing behind him. The corner of Wang Yan's mouth twitched. This guy is really not humble. "Who are you?" Xu Qingzhou coughed dryly, thinking, "Everyone knows that I'm awesome. Is there any need to say more?" Wang Yan was stuck again. He regarded the other party as his competitor, but the other party didn't even know who he was. How miserable. He held out his hand: "Jinling University, Wang Yan." "Hello." Xu Qingzhou shook hands with him. This man was very strange. It was their first time meeting, but he could sense a kind of resentment from him, as if he had been pressed to the ground and rubbed. "busy?" Wang Yan shook his head, smiled bitterly and said, "I just want to meet the number theory genius." "." "I have something else to do." Xu Qingzhou felt that there was something wrong with this guy's eyes. Wang Yan said, "Goodbye." There were problems in the creation of the mathematical model in the past, which led to Jingda completing the project earlier than them. He was determined to defeat Xu Qingzhou. Professor Lu Yangui also said that the mathematics circle is not large, and he and Xu Qingzhou will meet sooner or later. Yes, I have encountered it now, but I can no longer compare to him. On this side, Xu Qingzhou sent a few messages to Song Yao, including photos of medals and certificates, and reported that he was ready to return to the hotel. He was very busy these days, so he did not plan to go home in the evening. After reporting to Song Yao, Xu Qingzhou had already arrived at the hotel and quickly checked in. Peking University. Song Yao is in Li Daiyue's office.
Han Shiyi saw Song Yao, who had been calculating with her head down, suddenly holding her phone and asked curiously, "Junior sister, are you chatting with your boyfriend?" "Ah." Han Shiyi accidentally saw the photo that Song Yao clicked on and asked curiously, "What is this? I accidentally saw the photo that Xu Qingzhou sent you." "The medal and certificate of the Chern Mathematics Award." said Song Yao. Han Shiyi was stunned for a moment and shouted out: "Chen Xingshen Mathematics Award?!" Anyone who has studied mathematics and is good at it knows this award. Li Daiyue paused while typing, and a look of surprise appeared on her expressionless face. "Xu Qingzhou won this year's Chern Mathematics Award?" Song Yao nodded and said, "Well, today happens to be the 15th annual mathematics conference." It was a little quiet in the office. "Awesome." Someone whispered. Rough words are not rough. Even Li Daiyue thought that these two words were quite suitable for Xu Qingzhou, who won the Chern Shiing-Shen Mathematics Award at the age of 19, which was unprecedented and may never be surpassed. "Amazing!" Han Shiyi found that the couple she was obsessed with seemed to be getting better and better. Two strong couples! This young man is amazing. Xiaoyao Li Daiyue began to worry about her students again. Song Yao was very smart, but she had not grown up yet. In her opinion, lovers should be equal. If there is too much inequality, she would think of the scene when Xu Qingzhou helped Song Yao zip up her clothes when she came back from a business trip. Very harmonious. Maybe, dating isn't black and white? Li Daiyue shook his head. Song Yao does not have the same worries as Li Daiyue. Xu Qingzhou has his own path, and she also has her own progress bar. After reminding Xu Qingzhou to take care of himself, she lowered her head and continued to calculate the price elasticity coefficient of demand. At the same time, in the hotel, Xu Qingzhou had finished his meal in the restaurant, returned to his room, took out his computer and manuscripts, and got ready. 【Since ζ(s) has no zeros on Re(s)=0, by the finite cover theorem, we can prove that 0<δ≤1\2, so that ζ(s) has no zeros in the rectangle {s=δ+it: 1δ≤σ≤1, |t|≤T}. 】 To study the Polignac conjecture, more mathematical and logical reasoning was required, unlike the applied physics he had studied before, which was impossible without funding and equipment. If we really have to compare, Xu Qingzhou feels that prime numbers are as important to mathematics as the periodic table is to chemistry. Any integer greater than 1 can be decomposed into the product of prime numbers, and this product is unique. 【可以求出 T，T，T的上界并证明适用于 M2的对称结论，即当K=δ1(1+4)(1(k+2+1k1)时 Have: M2≥[1+o(1)]1κ2(+1)M1】 30 minutes later, Xu Qingzhou focused his attention on the number series. If m>=0, then j>=0, that is, j and m are both non-negative integers, and the above definition of j and m as non-negative integers is the sequence p>=2k+1 (k is a non-negative integer). If p=2k+1 (k is a non-negative integer) At 2 o'clock in the afternoon, Xu Qingzhou let out a long breath, stood up and made himself a cup of coffee to wake himself up.
The cool breeze leaked in through the window gap and blew on his face, making Xu Qingzhou's mind clearer. Next, as long as we can find a suitable k so that s>1, we can find that for all natural numbers k, there are infinite prime number pairs (p, p + 2k). That is, to prove the correctness of Polignac's conjecture. "Whoo~" To find the appropriate k and , we need . Xu Qingzhou had a headache. It seemed like a sentence, but he had basically no idea what to say. Rest for 10 minutes. He habitually turned out his previous manuscript and checked all the details. I had no idea, so I went over the whole process in my mind again. Still no idea. Professor Stewart has already dealt with the technical problems of arithmetic, so I'm afraid it will take some time. Xu Qingzhou sat up straight abruptly, his breathing becoming increasingly rapid. Perhaps, we can try to solve the problem of uniform distribution of prime numbers in arithmetic series like Professor Zhang Yitang and Professor Stewart did! Xu Qingzhou was shocked, and all his fatigue seemed to disappear without a trace. It was a wonderful feeling. At an unexpected moment, a beam of light penetrated the fog and illuminated the only correct path. To put it in a more vivid way. All the ideas during this period are like a complex wave function. Various possible problem-solving paths and ideas collide and intertwine with each other, forming an uncertain "superposition state". Just now, the wave function collapsed, and a clear solution to the problem appeared before my eyes. Xu Qingzhou had no psychological pressure when it came to calculating the uniform distribution of prime numbers in arithmetic series. All modern people look at the world by standing on the shoulders of great men. He suppressed his excitement and began to concentrate on calculating. [Numerical calculation shows that: s>1κ21+κ1××(1+e8)>1】 All we need to do is find a feasible integer pair H = {h1, h2, …, hk} with k elements. (End of this chapter)