Chapter 199 Someone got there first?! In the laboratory, Xu Qingzhou is studying the sorted data. As expected, when the crystal length is mm, the maximum vacuum compression of (1±) dB is obtained at the analysis frequency of MHz, and after considering the loss, it is (±) dB, which is the best experimental result. He opened the paper he had written earlier, dragged the data graph into the paper, and continued typing: Theoretical variation curves of system threshold (a) and compression (b) with crystal length. The black dashed line and red solid line are the results without spatial walk-off and with spatial walk-off, respectively. no = , χ = pm/V, δ = , T = . At 3 pm, when Xu Qingzhou went to the lounge to drink water, he found that Professor Gu Zhizhong had called him twice and there was also a message asking him to come to classroom 1205 of the School of Mathematics if he had time. Xu Qingzhou guessed that some problems might have occurred during the argumentation process and called back. As expected, there were two difficulties. The school pushed hard, hoping to announce Xu Qingzhou's achievements earlier than "Mathematical Inventions". These two points were very difficult and time-consuming to prove. Therefore, Professor Gu planned to ask him, the person involved, to explain. Xu Qingzhou agreed, and when Ren Xiaoling came back at 3:, he packed up his things and went to the mathematics department.
Classroom 1205. Several desks were piled with calculation manuscripts. Three old men were gathered in front of a blackboard, and Senior Brother Su Kewei was also there. "Junior brother." Su Kewei greeted him. His hands were moving quickly and he was already pouring tea for Xu Qingzhou in a paper cup. Xu Qingzhou thanked him: "Thank you, Senior Brother." "Hehe, you're welcome." Su Kewei is now convinced. If they are called "academic masters", then this junior brother is probably the "academic god". Simply put, they are not human at all! "Xiao Xu is here." Professor Gu and the others also noticed Xu Qingzhou coming in, and introduced him with a smile: "Xiao Xu, this is Academician Wang from the Academy of Sciences, and this is Professor Feng from our school. They are both experts in number theory." "Hello, Academician Wang, hello, Professor Feng." Xu Qingzhou sends his greetings. Academician Wang came over to say hello, and directly pulled Xu Qingzhou to the blackboard, saying, "Xiao Xu, you came at the right time. Tell us how this formula is transformed into this one." "We have tried three methods here, but none of them worked." Professor Feng took a sip of tea to moisten his throat. Xu Qingzhou looked at the equation on the blackboard. In this part, in order to obtain the improved Selberg sieve method, Xu Qingzhou first proved that the Bombieri-Vinogradov theorem in equation (9) can be improved into a new theorem when the value of d is certain. However, the derivation of this conclusion requires the use of Kloostermann and Weil conjectures, etc., which involve algebraic geometry concepts. When he wrote this part, he thought it was too long and deleted it. Unexpectedly, this became a difficult point. However, he did not doubt the ability of the three old professors because mathematics is like this. When he sees a certain step in a mathematician's proof process, he will feel puzzled and have to slowly look for the logic behind it. If there is enough time, Professor Gu and his team will probably be able to find a suitable way. Xu Qingzhou thought for a moment, picked up the chalk, and wrote: "The improved theorem, when = 1/1168, R = N^+, z = N^, then (21) satisfies EN(logN)^A" "The Kloosterman index sum is used here, mainly to deal with prime number distribution, or to correct the Selberg sieve method. After all, if the essential defects of the sieve method are not solved, the prime number distribution part cannot be solved."
"So that's how it is. Not bad, not bad. The formulas here are changing very interestingly." "The future life is terrible." Looking at Xu Qingzhou explaining to the three big guys, Su Kewei sighed again in his heart. He has not been idle these days. He has also been doing deductions when he has time, but unfortunately, he has only completed one tenth of it and is struggling. This was the first time he felt the disparity in the world. The classroom was very lively, with rows of complex formulas being reproduced under chalk. With Xu Qingzhou's participation, the speed of proof was much faster, but it still took more than 40 minutes to solve this part of the derivation, mainly because precise calculations were required to ensure that there were no logical and numerical loopholes. At 6 o'clock, Su Kewei came in with five lunch boxes. Actually, we were supposed to eat in the cafeteria, but Academician Wang and his friends were so excited chatting that we felt it was a waste of time to go to the cafeteria, so we simply asked Su Kewei to bring it back. However, even while eating, they were discussing the steps. "At this point, we can estimate the value of M. For example, as long as we can calculate the upper bounds corresponding to T1i, T2i, and T3i, we can estimate the size of (11)." Xu Qingzhou drank a mouthful of soup, nodded and said, "Yes, that's right, use Perron's formula and some commonly used ζ(s) properties." Professor Gu and Professor Feng looked thoughtful. The former had even put down his chopsticks and pulled out a piece of manuscript paper to check his calculations. In the whole classroom, Su Kewei might be the one who eats the most easily. Since he can't understand anything anyway, he might as well just start eating. After communicating with the professors until 8 o'clock, Xu Qingzhou finally returned to the laboratory. He stayed in the laboratory until 11:, collected today's data, and then slowly went home. After about ten minutes, Xu Qingzhou arrived home. He pushed the door open and saw Song Yao sitting cross-legged on the sofa watching TV. The second cat was lying comfortably in her arms, wagging its tail from time to time, which made him really envious. Tsk tsk, white socks. Xu Qingzhou's eyes slid across the little white socks inconspicuously, and he thought that the texture must feel very good. "What are you looking at." Song Yao subconsciously put her legs down and put on her slippers, thinking that this guy was becoming more and more open and aboveboard. "Look at Er Miao. The more I look at him, the more I think he's prettier." Xu Qingzhou sat down next to Song Yao and tapped Ermao's head in her arms. "I don't know who used to call me clown cat." Song Yao chuckled in her heart and didn't believe this guy's nonsense. It's just a foot, what's so good about it? Thinking of this, she moved her toes again, pushing up the cute pattern on the slippers. Xu Qingzhou shrugged his shoulders and leaned back on the sofa to take a rest. He had been staying up late and his brain had been working at a high intensity. He felt quite tired at this point. "Find some time and exercise with me." Song Yao glanced at the boy who looked tired. This guy seemed weaker than before. This couldn't go on. Xu Qingzhou nodded, "Okay, wait until I'm done with these few days." Hey~ At this time, Xu Qingzhou's cell phone rang. He held the glass of water on the table, drinking water while reading the message. It was an email from the UK, and the sender was Catherine Mills. Click on the email. There wasn't much content. After saying hello, she said that she had found something interesting and asked Xu Qingzhou to take a look at it if he had time.
Below is a URL. Xu Qingzhou clicked on the URL again, and it was a news page. When he saw the title, Xu Qingzhou almost spit out the water in his throat. [Institute of Advanced Mathematics, Imperial College of Technology, India: The twin prime conjecture is about to be proven! ] What the hell? Someone got there first?! (End of this chapter)