Chapter 386 I want to challenge something difficult After graduating with a master's degree, Xu Qingzhou began to consider government-sponsored study abroad. By the end of April, he had received more than a dozen emails from abroad. There is Professor Maynard from Oxford University, a former review editor, Professor Steven from Princeton, and Professor Baker whom I met at the Hadron Collider Laboratory at the University of California, Berkeley. And the professors from the École Normale Supérieure in Paris, whom I had little contact with. They are all inviting him to study for a doctorate there. Xu Qingzhou politely declined one by one. In mathematics, MIT is actually on par with the above-mentioned schools, except that MIT has relatively fewer alumni who have won the Fields Medal. Of course, there's also Mia Lane, who has always coveted his genes. They say that Berlik has beautiful scenery, a good cultural environment, and sufficient funding. In Xu Qingzhou's opinion, all the words put together can be summed up in one sentence: I am greedy for your body. Xu Qingzhou himself is also looking for mathematics professors at MIT, and has confirmed three so far. All of them are world-class mathematicians, including Professor Alessio Figali, who mainly conducts research in number theory and related mathematical fields. Professor Peter Roberts, who specializes in number theory, Fano clusters, algebraic geometry, and the last one is Professor Aksa Carter, who specializes in analytic number theory, hyperbolic geometry and Teichmüller theory.
In early May, Kyoto was hit by a continuous drizzle. At noon on the 5th, after Xu Qingzhou finished his meal and came out of the canteen, he slowly went to the School of Mathematics to find Academician Chu Jiangfeng. The rain was not heavy, so he didn't even open an umbrella. The drizzle was floating, and the whole world seemed to be washed clean. The air was filled with the refreshing smell of moist earth. On Jingyuan Road, two young men were riding their bicycles at full speed on the asphalt road, and their figures soon disappeared on the side of the road. The streets were filled with young faces, gathered in groups of three or four. Xu Qingzhou took a deep breath to moisten his lungs, looked at the energetic boy, and couldn't help but sigh: "It's great to be young." "What are you mumbling about?" came a familiar cold voice. Xu Qingzhou turned around and saw Song Yao and Han Shiyi standing behind him. "I feel so emotional." Xu Qingzhou spread his hands. Song Yao looked at Xu Qingzhou hanging the umbrella on his wrist while getting wet in the rain, and complained: "Is it illegal to hold an umbrella?" Xu Qingzhou sighed and said, "Just walking in the drizzle, don't you think it's romantic?" "nerve." Song Yao commented, raised her foot, and walked over, brushing past Xu Qingzhou. Han Shiyi didn't say much, she was still enjoying the joy of shipping the couple. As they got to know each other, she found that it was very interesting to see how these two people got along. Song Yao is not aloof at all, and sometimes even reveals some girlish emotions. Xu Qingzhou is not the rigid science and engineering guy that was once imagined. Xu Qingzhou followed suit and muttered, "Junior Sister Song, you should be more romantic." Song Yao curled her lips. Rather than being romantic, she thought this guy might be lazy and thought it was troublesome to fold the umbrella. Then, she saw that the person who was talking had quickened his pace and squeezed under her umbrella. Xu Qingzhou took the umbrella handle from Song Yao and asked, "Aren't you going to Yannan Canteen? Why are you here at Xueyi Canteen?" "I suddenly decided to come here to eat noodles. Junior Sister Song, please come with me." Han Shiyi said with a smile.
“The noodles at window 3 are delicious.” "." After chatting all the way, the three of them separated in front of the Mathematics College. Xu Qingzhou went directly into the Mathematics College, while Song Yao and Han Shiyi went north along Wusi Road to the Economics College. Han Shiyi smiled and said, "Why didn't I see it before? Junior Brother Xu is quite a middle school student." "He has always been like this." Song Yao sighed inwardly, feeling a little distressed. She felt that there was no "middle", only "two" here, and it was quite perverted. Han Shiyi: "Boys like this are interesting." Well, the personalities of these two people are somewhat different. Then I started to enjoy it even more, as if I had captured the boudoir fun of these two people. School of Mathematics. In the office, Chu Jiangfeng was discussing a differential geometry problem with Yang Yongze. When they saw Xu Qingzhou come in, they stopped and then sat down to drink tea and chat, which was considered a halftime break. Chu Jiangfeng took a sip of tea and asked with a smile, "Have you decided which mentor you want to choose?" "I would like to choose Professor Peter Roberts as my advisor." Xu Qingzhou and Professor Peter Roberts sent two emails to each other, discussing the future development of the field of number theory. This 65-year-old man from Germany spoke quite humorously, and Xu Qingzhou could feel his passionate love for mathematics. "Peter Roberts?" Chu Jiangfeng thought for a moment, nodded and said, "Yes, I met him at the mathematics conference. He has insights in algebra and number theory. He can be said to be a rare mathematician today." "Besides, with your ability, you should be able to get your diploma within a year." "We had a conversation and benefited a lot from it," said Xu Qingzhou. Chu Jiangfeng sighed and said, "Although I am reluctant to leave, young people should go out more often, go to a better platform to gain knowledge and strengthen themselves. Our Xia country has made rapid progress in mathematics in recent years, but we have to admit that there is still a big gap compared with these top universities." Xu Qingzhou comforted: "The future will definitely get better and better." "Yes, compared to decades ago, we are much stronger now." Chu Jiangfeng nodded, thinking that there was nothing wrong with what he said. Besides, with this kid around, the mathematics community in Xia Country might become more prosperous in the future. "Junior brother, since you have chosen Professor Peter Roberts, do you still plan to engage in research in number theory?" Yang Yongze asked curiously. Chu Jiangfeng also looked at Xu Qingzhou. "Analytical number theory, in a specific area, I would like to challenge the Riemann hypothesis." "." The office fell into silence, with both of them looking confused. Yang Yongze stared, wondering if he had heard it wrong. Chu Jiangfeng was in a stronger mood, but he was also stunned. After a while, he looked at Xu Qingzhou and confirmed again: "Do you want to study the Riemann hypothesis?"
Xu Qingzhou nodded. "Isn't it a bit hasty to go straight to the Riemann hypothesis?" Yang Yongze said. The Riemann hypothesis is a problem that has troubled the mathematical community for more than two hundred years. Even when he was young and frivolous, he did not dare to think about it. Chu Jiangfeng frowned and said, "Qingzhou, that old guy Xu Shihui just mentioned it casually last time. Don't be influenced by him." "Professor, don't worry, I didn't do this on a whim. I've thought about it carefully." Xu Qingzhou smiled and shook his head. "Have you made up your mind?" Chu Jiangfeng asked. "Well, let's challenge it to a higher level of difficulty." The corner of Yang Yongze's mouth twitched. This is not difficult at all, it's basically hell. Chu Jiangfeng was silent for a while, and finally nodded slightly, saying: "Since you have thought it through, I will not persuade you anymore." "Junior brother, you are awesome." Yang Yongze could only sigh. "I'll try it too." Xu Qingzhou said modestly. Yang Yongze was stuck. Why did this sentence sound so familiar? Yes, my junior fellow student also said this when he was researching the local smoothness conjecture, "He can't really figure it out, can he? No, no, no, this is the Riemann hypothesis." Chu Jiangfeng smiled and said, "Thinking about it carefully, we are indeed old. As we get older, we are not as energetic as you." "You don't look old at all, and you look more energetic than us." Yang Yongze smiled. Xu Qingzhou smiled and nodded. These old professors' bodies seemed to have mutated. Some of them only slept for three or four hours a day, but they were still energetic when they woke up the next day. He couldn't help but think that he seemed to be the same at the beginning. The result is sudden death from overwork. If you can survive, you will be an old professor. If you can't survive, Fortunately, School Beauty Song is here. Xu Qingzhou suddenly recalled the scene in his mind where Song Yao clenched her fist and told people to go to bed. With the lessons learned in his previous life, he will definitely take care of his body in this life, but based on his understanding of himself, he may simply restrain himself and remain a weakling. He will stay up late even if he needs to. Doing research is sometimes like having sperm on your brain. When the feeling comes, I don't care about anything else, but when it's over and I'm alone, I start to think about the meaning of life and secretly make up my mind not to do that next time. “Riemann hypothesis.” Chu Jiangfeng sighed and said slowly: "In the history of mathematics, there is a top fishing master - Fermat. His sentence 'I have thought of an excellent proof, but this place is too small to write it down' has caught countless 'fish' in the long river of history." "350 years later, Andrew Wiles successfully solved Fermat's Last Theorem. This mathematician became a new generation of fishing master and participated in the formulation of seven mathematical conjectures announced by the Clay Mathematics Institute in the United States on May 2000, 5."
"The Riemann hypothesis is one of the most well-known mathematical problems." Chu Jiangfeng looked at Xu Qingzhou and said with a smile: "Maybe, you can create another miracle for us." He didn't say anything else. Judging from the current research progress, the probability of creating a miracle is almost zero. "Thank you, Professor." The three of them chatted in the office for about 40 minutes, and then Xu Qingzhou stood up and said goodbye. 8 pm. Song Yao has finished writing her thesis. Since she had to prepare for the defense, Li Daiyue did not assign her much project work, so she came back earlier than Xu Qingzhou today. When Xu Qingzhou returned home, Song Yao was writing her defense paper with her head down. His heart warmed, and he walked over and hugged her delicate body from behind. When I come home, I receive a warm hug, which feels so good. However, how can this sweet and soft body burst out with such powerful strength? "what happened to you?" Song Yao found Xu Qingzhou a little strange. "Hold me for a while, I just feel so good to have you." "So corny." Song Yao pouted. Although she said that, she was very happy in her heart. Xu Qingzhou thought for a moment and said, "Sometimes I wonder what would have happened if I hadn't asked you to borrow my meal card." "Are you emo?" Song Yao seemed to have discovered a new world. Although this guy was a bit mean, he was full of energy and rarely had negative emotions. "Well," Xu Qingzhou looked at School Beauty Song with sparkling eyes, "When you find your boyfriend is in a bad mood, shouldn't you comfort him? I see that you seem quite excited." "Teacher Xu, the fact is, we are together now, and everything you think is not true. After all, you are still mad at me all day long." Xu Qingzhou was speechless and a little surprised that he would feel so sentimental. Could it be that every boy has such days? sloppy. He smiled in his heart and sniffed Song Yao's neck a few times. Song Yao shrank her head, pushed Xu Qingzhou away, and said with a strange expression: "What is your conspiracy?" "." "You are doubting my character again." "I also said that this is contempt for your character." Song Yao corrected him coldly. "Song Yao, the gap between lovers starts with distrust." Xu Qingzhou looked sad.
This guy is still acting. Song Yao pursed her lips, but still reached out to embrace Xu Qingzhou. Xu Qingzhou narrowed his eyes and hugged the school beauty Song. A faint fragrance came over him and he suddenly felt a little hot. Time passed by minute by minute. living room, Song Yao pushed Xu Qingzhou away and stared at him angrily: "I knew it." "Can't help it." Xu Qingzhou coughed dryly, feeling really guilty. He had originally intended to hug School Beauty Song to express his love, but ended up taking advantage of her. He clapped his hands. "It has a mind of its own." "Your claws should be chopped off." Song Yao didn't believe Xu Qingzhou's nonsense. "I'm going to take a shower." Xu Qingzhou shrugged and subconsciously smelled the fragrance that had not yet dissipated from his fingertips. It was a bit aftertaste. It was obviously not that thing, but there was still a milky fragrance. This action made Song Yao almost want to pull this guy back and beat him up again. So infuriating. Soon, the boy in his shorts stood at the bathroom door and invited, "Do you want to join us?" "I want to beat you up even more now." Song Yao gritted her teeth. "Girls, you spend all day beating people up." Under the deathly gaze of School Beauty Song, Xu Qingzhou scurried into the bathroom. "There was a girl in the village named Xiaoyao, who was beautiful and violent, with a pair of beautiful big eyes and thick and long braids. On the night before returning to the city..." Someone's singing came from the bathroom. "Xu Qingzhou, you'll be dead if you come out!" Song Yao said bitterly. "Come in if you can." "." Song Yao gritted her teeth. Stupid Xu Qingzhou started using stupid excuses again. She would not fall for this stupid guy's trick. "Hmph, I'll wait for you to come out." Song Yao raised her eyebrows. "Thank you for your love." In the bathroom, some damned guy was still singing.
Happiness is always short-lived. Not surprisingly, Xu Qingzhou was pinned down and beaten by Song Yao as soon as he came out of the bathroom. It was as if time had been accelerated and in the blink of an eye it was May 5th. These days, Xu Qingzhou has been collecting information about the Riemann hypothesis and organizing it accordingly. The most important thing is about the zeta function, because to understand the Riemann hypothesis, the first thing to understand is what the Riemann zeta function is. This function was originally proposed by Euler when studying prime numbers. In fact, the most famous problem for finding ζ was the Basel problem, which was to find the sum of the reciprocals of all square numbers. This result was given by the 28-year-old Euler in 1735. For example, when s=1, it becomes the familiar harmonic series, which does not converge. When s<1, the added term will gradually increase, and the calculation result will tend to positive infinity and will not converge. When s is defined as 1 to positive infinity, the situation will be different. After that, Riemann, with his great creativity, used analytical extension to define ζ(s) at all points except s=1. In fact, I have used some properties of Riemann zeta when studying prime numbers, so I can say that I am quite familiar with it, but after re-checking the information, I have a different understanding. According to Xu Qingzhou's understanding, Riemann analytically extended the initial function and expanded its domain. It can be said that it is related to Gauss's function for estimating prime number density. Gauss's formula is approximate, while this one takes the exact equal sign. After reading the information for a while, Xu Qingzhou began to understand why the Riemann hypothesis was difficult. Most people did not know how to find a non-trivial zero point. Even if they were told that the real part was 1\2, they could not find the imaginary part. In fact, the benefits of the hypothesis alone can fill a book. Xu Qingzhou was preparing to study the Riemann hypothesis. At the same time, Song Yao also had her undergraduate thesis defense. At 8: in the morning, she went to the defense site at the School of Economics with Xu Qingzhou. (End of this chapter)