Chapter 187 I Want to Get Beaten In the hotel, Xu Qingzhou rejected Senior Brother Zhao Zhenglai's invitation to go to the bar, put down his phone, picked up the water glass, walked to the window to breathe fresh air and take a break. Today is the 2nd, and I will be able to see Song Yao in 3 days. I have to say this: I haven't been beaten for a while, and I miss her a little. Wait, why do you want to be beaten? Xu Qingzhou quickly shook his head, getting rid of the dangerous thought. This was a bit off the track. How could one get addicted to being beaten? Of course, if you really want to fight, boys are always better than girls, but can they fight? No. So, he's really addicted? With a sigh, he turned and walked over to the table. He didn't even attend the analytic function seminar held in the afternoon, as this was not his research area. Besides, seminars are often held, but such opportunities for inspiration are rare. The desk is covered with the results of today's hard work, and the entire proof process has been halfway completed. Proving the twin prime conjecture can be roughly divided into two steps: choosing the sieve method and calculating the prime number interval. Each major part can be divided into several steps, and he was previously stumped by the intermediate asymptotic formula in the second part. (6)λ1=1∑k|Pzμ(k)uk=1 (7)d>z，λd=0k>z，uk=0 By inserting the proper fraction value into a function form, he indirectly proved the asymptotic formula for the number of twin primes that he had guessed. At the same time, he used Mertens' third theorem to obtain the asymptotic formula for ∏\inftyF(p).
"Whoo~" Xu Qingzhou took a sip of water, sat back at the desk and picked up the pen. The next key step is to introduce quadratic forms into the sieve method, which can perfectly transform the restrictions on λ into restrictions on U. This means that a larger z can be substituted into S(A, P, z) to obtain a tighter bound. In this way, we can minimize the impact of the essential defects of the sieve method on the distribution law of prime numbers. He intended to construct a function model to supplement the sieve method. However, directly using the value of the prime counting function is very inefficient. Xu Qingzhou tapped the table lightly with his fingertips and soon came up with a new idea. Here he needed to use the prime number theorem first, and he could refer to the numerical research done by Rosser and Schoenfeld in 1962. What Xu Qingzhou didn't know was that while he was immersed in the complicated calculations, a piece of news quietly spread on the gossip media. [London Science Evening]: The 18-year-old Xia Guo genius Xu Qingzhou announced that he will solve the mystery of the twin prime conjecture in the near future. This news was like a stone thrown into a lake, starting to create ripples in the academic circle, but they were just small ripples. Because in the eyes of many people, the London Science Evening News is just a third-rate tabloid. It does not report serious academic news, but specializes in digging up gossip about scholars. That would be fine, but the key point is that false reports often occur. However, just as chocolate can stimulate the secretion of endorphins in the brain and make people feel happy, gossip news can also make the audience excited and provide more topics to talk about in life. That’s why this media has endured and remains strong even after having fought many lawsuits. Although the London Science Evening Post focuses on gossip, it is still very professional. In addition to posting a photo of Xu Qingzhou giving a speech in the news, it also interviewed relevant experts. The first one was the Indian mathematician Samit. Samit: "I have said before that there is something wrong with Xia's academic environment. The rigid system makes it impossible for them to cultivate real scholars. There are too many people like Xu Qingzhou who talk big in Xia now." Reporter: "Which places do you think have a good academic environment?" Samit: "Schools in advanced regions such as Cambridge and Princeton, and our Imperial College in India."
Samit: "Regarding the twin prime conjecture, my team and I have also made substantial progress. We will be able to see the results in half a year." Another German mathematics expert first gave a brief introduction to the twin prime conjecture, and then cautiously stated that although it is difficult to prove, he still looks forward to what results this young man can achieve. Most people are ready to watch the fun. The prover of Cramer's theorem announced that he is about to prove the twin prime conjecture. Whether successful or not, there will be something exciting to watch in the coming period. The gossip in the London Science Evening was just the beginning. The next day, after a more authoritative media, the European Science News, found Professor Maynard, the heat of this matter in the academic circle doubled. Professor Maynard did not hesitate to praise him. In summary, it means one thing: Mr. Xu Qingzhou has an unparalleled talent in mathematics, and I believe he will definitely bring something different to the field of prime number research. There was a heated discussion in the comment section of the European Science News YouTube channel. "The Xia people are really good at math." "Yes, Terence Tao and Yitang Zhang. I have read their papers. They are perfect masterpieces." Some netizens expressed their feelings, while others were shocked: "It's fake, absolutely fake. Even our country's Professor Li Xiaojun said that it is impossible to solve the twin prime conjecture at present." "Aren't there always crazy people like this at this kind of conference every year? In the end, it turns out that they are all just entertaining themselves." "Wow, Xu Qingzhou from our Xia country is awesome!" However, the excitement on the Internet had nothing to do with Xu Qingzhou. He still stayed in the hotel to carry out the final verification of the twin prime numbers, and even asked the waiter to deliver the meal to his room. On the morning of April 4, Xu Qingzhou was brought back to reality by the ringing of the phone. It’s Professor Gu Zhizhong. As soon as Xu Qingzhou got through, Professor Gu's powerful voice came over: "What's up with you, kid? Can you really come up with the twin prime conjecture?" Xu Qingzhou nodded: "If nothing unexpected happens, it's OK." It's only been half a day, and the news has already reached Professor Gu. Professor Gu was silent for a while, as if he needed to digest this important information, and then asked: "Tell me what you are going to do next." Xu Qingzhou smiled and said, "We will continue to advance our research on the twin prime conjecture. We will fly from London to Kyoto at 5 . on the 9th." "Just return it." Professor Gu smiled softly and said, "I heard that Professor Maynard has extended an olive branch to you and is willing to give you the salary of an associate professor." "Of course I'm back. It's not as comfortable to stay somewhere else as it is to be in my hometown." Xu Qingzhou thought that there was a girl waiting for him to go back. He also knew Professor Gu's concerns. Many people go abroad and then go directly to handle immigration procedures when they return to China. "Then I'm relieved. I was really worried that you would be kidnapped." As night falls, the sky is dotted with stars. Outside the window, there are quaint and elegant Gothic-style buildings. Living in this city, you can feel the perfect blend of strong academic atmosphere and beautiful scenery. Half an hour passed. [If pn represents the nth prime number, then: lim infn→∞(pn+1pn) Got,\sum_{n=1}^{\infty}\frac{a_n}{n^s} That is, there are infinite prime numbers p, and for each p, there is a number p+2 that is also a prime number. Thus, the twin prime conjecture has been proven. 】 After typing the last character on the computer, Xu Qingzhou stopped, exhaled, and a smile appeared on his face.
Yes, he checked it countless times and the results were all correct. It would be a lie to say that I am not excited about the complete proof of the twin prime conjecture. The incomparable sense of accomplishment is fascinating. No wonder so many mathematicians are willing to follow suit. The next step is to translate it into English and submit it for publication. Well, let’s do it in one go. Xu Qingzhou took a deep breath, suppressed the restlessness in his heart, and prepared to start the translation work. (End of this chapter)