Chapter 179 This cake is big and round The owner of this poster announcing the proof of the "Goldbach Conjecture" is a haggard-looking German uncle who looks like he hasn't slept well for several days. There are a lot of formulas written on the two blackboards next to him. Most people passing by just took a glance and instantly lost interest. Xu Qingzhou had a strange expression on his face. He stood in front of the blackboard and carefully read the formulas on the two blackboards. After 3 minutes, I finished watching it. The uncle's eyes were blazing: "Hi, Xia Guoren?" "Hello." Xu Qingzhou nodded. The uncle seemed to have found a confidant. He pulled Xu Qingzhou and said, "If you are from Xia country, then you must be good at math. Come, take a look at this. I adjusted the weighted sieving method of your country to make it smoother than the original one." In the eyes of quite a few foreigners, the Xia people are all experts in mathematics. Xu Qingzhou didn't say anything and listened to him share his results.
"Next, use the circle method to prove that every sufficiently large odd number can be expressed as the sum of three prime numbers." “Are you interested in cooperating with me? Don’t doubt it. In the near future, you will witness the birth of a miracle!” Look at this cake, it is big and round. Xu Qingzhou smiled helplessly, pointed to one of the steps on the blackboard, and said: "P is a prime number, i and j are positive integers. This set includes 1, all prime numbers and their powers. Even numbers are rare but there are still infinite numbers here. How did you calculate to x\logx?" The uncle was stuck and stared at the place where Xu Qingzhou pointed out the problem. In the classroom, everyone else shook their heads, thinking that this young man from Xia Country was too young to actually take a serious look at it. Every year at this conference, there are one or two people who are obsessed with something. Last year, someone announced that he had proved the Riemann hypothesis, and the year before, it seemed to be the twin prime conjecture. There are always people who want to make a splash here. "Wait. I'll find the information. Trust me, I can solve it quickly!" The uncle took a deep breath and rummaged around in his schoolbag. Xu Qingzhou smiled and shook his head, then turned and left, leaving the old man with a face full of reluctance. Although it was a bit cruel, This kind of proof that ignores a necessary condition is meaningless, but if this condition is added, there is basically a dead end ahead. At 8: in the morning, most people had arrived and were busy communicating or presenting their work. Two blackboards and three or two people sitting around them were like a small exchange meeting. At the entrance of Lecture Hall 2. "Xu Qingzhou?" Just as Xu Qingzhou was about to go in, a voice sounded behind him, and he could vaguely hear someone calling his name. He turned around and saw a girl standing behind him, looking at him curiously. "Hello?" Xu Qingzhou greeted her while observing the girl. She looked to be about twenty-five or twenty-six years old, with blonde hair and blue eyes, and freckles on her cheeks. She was very pretty. The girl held out her hand: "I'm Kathryn Mills, nice to meet you, Xu."
Xu Qingzhou immediately realized that this person was the owner of the blue pickup truck. He smiled and extended his hand: "Ms. Mills, nice to meet you too." "Xu, you look better than in the photo." Catherine praised. "Thank you, I think so too." Xu Qingzhou is also very satisfied with his own appearance. Catherine felt that this Xia man was a little different. He was not overly modest like the others. "We can go in and sit down and chat, otherwise there will be no seats left." The two walked in and found a seat in the middle and sat down. Kathryn said: "I studied Cramer's theorem, but after a week, I gave up." "Ms. Mills specializes in number theory?" "Call me 'Kathleen.' Kathryn smiled softly and continued, "I chose prime number theory for my master's degree, and now I am working with my teacher on discrete mathematics." "It's a very interesting field," Xu Qingzhou praised. Discrete mathematics, such as graph theory, set theory, logic, etc., his Cramer conjecture used knowledge of graph theory. "Rather than listening to your praise, I would like to know how you came up with the idea of transitioning to the adjacent iteration expression of the function of prime difference spacing when proving Cramer's theorem." Kathryn apologized and said, "I'm sorry, I was going to ask you the question next Tuesday, but you know it's hard to suppress curiosity in this situation." "My pleasure." Xu Qingzhou had rehearsed this question many times, and he could answer it without thinking: "Here, we need to first give the ratio of the difference between a given prime number and its successor adjacent prime number to the square of the natural logarithm of the prime number." At 9 o'clock sharp, the first report meeting officially began. At this time, the lecture hall was quite lively and full of people. A figure walked in from outside the auditorium, walking quickly towards the podium. When the man walked in, loud applause broke out in the lecture hall. He was a middle-aged man with a beard and wearing an old jacket. This man is Benji Dutt. Professor Dart bowed to everyone without any extra greetings, then picked up the chalk beside him and wrote a row of formulas on the blackboard. L(s，\chi)=\sum_{n=1}^\i=n=1∑∞nsχ(n)=χ(1)+2sχ(2)+3sχ(3)+ "A year ago, my assistant and I were studying the class number formula and Galois representation theory, and found that the Dirichlet L function could not meet our needs." "Although the L-function was originally defined in the region where σ>1, by analytical extension we can extend its definition to the entire complex plane. Of course, except for possible poles or essential singularities." The 60-minute briefing will go by quickly. After Professor Dart finished speaking, it was time for questions. It was a purely mathematical exchange. Xu Qingzhou sat in the last row and listened very carefully. He had a lot of new understandings of the L function. Unfortunately, he did not use the continuation characteristics. The current L function was already able to meet the needs of his own research. After the lecture, many scholars went up to communicate with Professor Dart, while Xu Qingzhou let out a breath and walked out of the lecture hall with Catherine. As soon as they left the lecture hall, Catherine said to Xu Qingzhou: "Xu, I'm afraid I have to leave first. I wanted to continue discussing this with you." "It's okay, there will be a chance next time." Xu Qingzhou nodded. Catherine did not delay and walked out of the hall, but after taking two steps, she suddenly turned back, stopped in front of Xu Qingzhou, opened her notebook, and wrote something. Soon, she had finished writing, tore off the manuscript, handed it to Xu Qingzhou, and smiled gently, "If you want someone to take you around here, call me."
"Thank you." Xu Qingzhou laughed in silence. He didn't expect that the other party came back because of this. The note had Catherine's phone number and email address on it. "Goodbye." "Goodbye." After separating from Catherine, Xu Qingzhou walked around the lecture hall, but didn't find any topics worth discussing or exchanging ideas. So he simply went back to the hotel, had lunch on the second floor, and then returned to his room to immerse himself in the calculation of the twin prime conjecture. (End of this chapter)