Chapter 212: Someone is causing trouble? 11:40 noon. Although Xu Qingzhou felt a little unsatisfied, he had to stop. However, he also added the contact information of more than a dozen professors, including Mr. Wang Yiyuan, who benefited him a lot. After lunch, I returned to the hotel and sent a message to Miss Song to report my situation. Then I organized the knowledge points learned in the morning, rested for half an hour, and then slowly went to the venue. The afternoon's lecture was given by Professor Luo Yuanming from Sun Yat-sen University, on analytic number theory. After the lecture, Xu Qingzhou went directly to classroom 209 and wrote down the topic of the group discussion at the door. After the morning exchange meeting, he also discovered a problem. There were too many people, which made it impossible to communicate properly like in other discussion groups. He simply followed the example of other discussion groups and wrote down the topics: Cramer's theorem and prime number gap discussion. I will give a report on the twin prime conjecture on the 22nd, so you can put this aside for now. In the afternoon, Mr. Wang Yiyuan was still there. Xu Qingzhou focused on explaining the details of his mathematical model construction, and took the opportunity to chat with Mr. Wang while taking a break to drink tea.
"I have also been thinking about whether it is possible to introduce the powerful computing power of modern computers into the study of prime number intervals, and discover the underlying laws of prime number intervals through large-scale data simulation and algorithm optimization." Looking at Xu Qingzhou, Mr. Wang nodded approvingly and said in a chatty tone: "After all, data is an important cornerstone of mathematical research, and modern computer technology is our weapon to mine the treasure of data." Xu Qingzhou said modestly: "I am just standing on the shoulders of my predecessors to solve the problem." Mr. Wang asked: "Now that you have proved the twin prime conjecture, are you going to solve the Polignac conjecture next?" "I do have this idea." Xu Qingzhou nodded. "It's a good thing to be motivated. Our Xia country needs more young people like you." Mr. Wang said helplessly: "I'm sorry, I'm just interested in the field of prime numbers, and I've only been studying it for a short time, so I can't provide you with much help in this area." "You have given me a lot of inspiration." Xu Qingzhou shook his head. It was not a compliment. The three places pointed out by the old gentleman could all be modified accordingly. Mr. Wang smiled and said, "However, in other matters, my old bones can still be used to some extent." "other places?" Xu Qingzhou was confused and didn't understand what it meant. Mr. Wang smiled but said nothing, he stood up with the cup in his hand, "Well, I'm old, I get tired after a little exertion." "I'll take you there." Xu Qingzhou stood up and walked the old man to the door. "No, go back and get busy." The old man slowly disappeared down the stairs. Xu Qingzhou shook his head helplessly. Fortunately, he was not the kind of person who would get easily entangled. Although he was curious about what the old gentleman was talking about that could help him, after he couldn't figure it out, he quickly immersed himself in the discussion with others. Two days passed in a blink of an eye. Xu Qingzhou had a fulfilling life. He attended two seminars on analytic number theory. One was about the properties and applications of the mean value of arithmetic functions, the divisor function σ_k(n) (representing the sum of all positive divisors of n raised to the kth power), and analyzing its mean value behavior on different intervals. Another session used Perron's formula to transform the estimation problem of the sum function into the problem of the zero points of a complex function.
In addition to this, I also completed the data analysis of the quantum optical frequency comb during this period and completed another paper. 4 month 22 day. At 8:20 in the morning, Xu Qingzhou adjusted his clothes in front of the mirror. Perhaps because he had a thirty-year-old soul in his body, the childishness on his face had gone away, and he looked more mature than his peers. "Handsome." Xu Qingzhou gave himself a fair evaluation and went out with his computer. His lecture is scheduled for 9 . However, in addition to the Xia people, many international friends also came this time. Small seminars can communicate in English, but large reports are not suitable. Therefore, the organizing committee specially arranged a question-and-answer session in classroom 209. After all, even if foreigners come to the lecture hall, they can probably only understand a formula, and the rest of the time they are basically listening to a mystery. After breakfast, Xu Qingzhou arrived at the lecture hall and was surprised to see that it was already full. The number of people was much higher than in the previous lectures. Apparently there is a lot of interest in the twin prime conjecture. Professor Feng and his colleagues were also there. Xu Qingzhou nodded as a greeting, then with the help of the staff, he connected the computer and played the PPT that would be used for the report meeting. Looking at the young man on the stage, Professor Feng couldn't help but smile in his heart. Old Gu had called in the morning to ask about Xu Qingzhou's situation. Old Gu was worrying too much. This little guy is very skilled. I heard from Lao Gu that Xu Qingzhou is still working on physics. What a waste of talent! With this talent, if he had devoted himself to the field of mathematics, he would have made great achievements in the future. On the stage, when the presentation was about to end, the staff prompted him to start. Xu Qingzhou pressed the play button and the first page of the PPT popped up. He first gave a general overview of the research content. "When solving the twin prime conjecture, I repeatedly studied the results of predecessors in this field, including the methods of Mr. Chen Jingrun, Mr. Zhang Yitang, etc." Xu Qingzhou spent 3 minutes sorting out the content, and then quickly moved on to the key content and the selection of screening methods. Talk about how I improved the sieve method, the knowledge about Siegel zero-point estimation, L function, automorphic form, etc., and how to change the Selberg parameter into a more flexible polynomial function "This is a key point, π(x)~L(s,\chi)=\sum_{n=1}^{\infty" "Of course, at the beginning, we cannot know the growth rate of π2(x) from this asymptotic formula. Therefore, we must first adjust the product on the right side to make this side a convergent quantity. "That is, find a product whose asymptotic expansion is known." "Next, we need to introduce quadratic forms into the sieve method." As he spoke, Xu Qingzhou picked up the marker next to him and wrote down the corresponding formula. At 10 o'clock, the lecture ended and it was time for questions. The first person to raise his hand was a professor in his 40s. "On page 45, section , I noticed that you calculated the principal term of the sieve method directly without explaining it. Could you please explain it in detail?" "According to the original formula, it is impossible to directly obtain the asymptotic formula for the principal terms M, M, but through some technical scaling, we found that we can connect it with the principal terms M, M of the original Selberg sieve method, and thus combine the two through inequalities." "The formula is" Questions, answers, questions, answers, everything went smoothly. Someone asked some sharp questions, but they were all within the normal range. After Xu Qingzhou finished his story, the other party slowly sat down. Until the end, Xu Qingzhou announced the end, bowed slightly to the audience, and began to pack up amid loud applause.
"Student Xu Qingzhou, something terrible has happened!" Ren Chujun came in against the crowd, looking anxious, and soon came to Xu Qingzhou. "What's wrong?" Xu Qingzhou asked. Ren Chujun looked very nervous: "Someone outside is trying to disprove your twin prime conjecture!" Wow, someone is starting to stir up trouble? (End of this chapter)