Chapter 296 You'll break my waist sooner or later Yandong Garden. Xu Qingzhou and Song Yao did not read books. They stayed at home, playing games and watching TV. They were ready to be like Er Miao, a little useless guy who did nothing. So, number 2, they just spent the day in a state of badness. Xu Qingzhou had not yet gone to see Academician Chu, but he received an invitation letter on the 3rd. Invitation letter to the annual meeting of the Xiaguo Mathematical Congress, December 12th Mathematical Congress. The Xiaguo Mathematics Annual Conference is a grand mathematics festival in Xiaguo, during which three major awards in the mathematics community of Xiaguo will be presented: the Hua Luogeng Mathematics Award, the Chern Shiing-Shen Mathematics Award and the Zhong Jiaqing Mathematics Award. Theoretically speaking, Xu Qingzhou should be able to receive an award, but there are many factors that influence the awarding of an award, so it is difficult to be too absolute. It doesn’t matter. People who do scientific research still have to speak with results. Xu Qingzhou shrugged, stuffed the invitation letter into the book beside him, and immersed himself in the complicated calculations again. Recently, there has been a lot of news about the Polignac conjecture. There are two that have attracted the most attention. The first is the research group of Professor Turst of Johns Hopkins University. Although the proof announced last time was a misunderstanding, Professor Turst made adjustments to the "horizontal" problem of the even distribution of prime numbers in arithmetic series.
He also posted on his Twitter that "surprising progress has been made." The second is the Institute of Advanced Mathematics of the Indian Institute of Technology, which also claims to have the potential to solve this problem that has plagued the world for nearly a hundred years. Xu Qingzhou still has some pressure. The competitors are all world-class mathematicians. He had read the paper published by the Indian research institute half a year ago and had also made some calculations. He felt that the possibility of obtaining the certificate was not high, but since the other party dared to be so high-profile, there must have been some progress. Having worked on the estimation of the exponential sum, he is now estimating the zeros of the Riemann zeta function and its generalized functions. The improved harmonic sieve method, exponents and this part, plus the current Riemann zeta function content are all aimed at building a perfect mathematical tool that can reflect the distribution of prime numbers. They are all hard bones. "Whoo~" Xu Qingzhou blew twice on his hands. The temperature was getting lower and lower, and he estimated that it would definitely snow in November. When Song Yao went to Professor Li Daiyue's house, there was only one person and one cat at home. The second cat lay lazily in his nest. "Lazy cat." Xu Qingzhou took out a new manuscript and started writing quickly. Days passed one after another, and on Friday night, Xu Qingzhou treated the three Morikou from 101 to a hotpot meal. On November 11, the heating was turned on and the house became warm instantly. During these days, Xu Qingzhou was completely devoted to the calculation of Polignac's conjecture, and it was not until Monday that he reported to Academician Chu Jiangfeng. Academician Chu's office is on the second floor of the School of Mathematics.
Two people in the office. One looks about 30. This person is called Yang Yongze. He was a student once taught by Academician Chu. After graduating with a doctorate, he began to work on projects with Academician Chu. "Xiao Xu is here." Academician Chu waved to Xu Qingzhou to go in. "Professor Chu, Senior Brother Yang." "Junior brother." Yang Yongze greeted with a smile. At the same time, he felt that Xu Qingzhou was too young. Moreover, this junior fellow was a man of the hour. He was well-known at a young age, had made outstanding achievements, and was a genius. "No need to be restrained." After Xu Qingzhou sat down, Academician Chu got straight to the point and said, "Your senior brother and I are currently conducting research in the field of harmonic analysis, mainly focusing on the estimation of solutions of the generalized Strichartz inequality in nonlinear wave equations and scattering theory." "I don't have any rigid requirements for you. You don't have to follow my research direction, and I don't set any paper requirements for you. After all, it's easy for you to publish a few SCI papers." “And now you have your own project.” "Thank you, professor." Xu Qingzhou thanked him. Academician Chu asked: "During the graduate school stage, do you want to continue in the direction of number theory, or do you have other interests? I suggest you choose what you are interested in, because interest is the best teacher." "I want to learn about harmonic analysis first." Xu Qingzhou said that the core tool of harmonic analysis is Fourier transform, which can convert a signal in the time domain or space domain into the frequency domain, thereby revealing the frequency components of the signal. It involves partial differential equations, complex analysis, potential theory, operator theory, nonlinear analysis, probability theory, etc. The electric field, potential energy and wave functions in sound waves in physics can all be studied through harmonic analysis. It has a great effect. Xu Qingzhou was familiar with it, but he had not learned it in depth, so he had to ask mathematicians for help with the huge calculations. Now that we have time, it is better to start with harmonic analysis. "Harmony analysis?" Academician Chu thought about it, nodded, rummaged in the drawer for a while, and took out a USB flash drive. "This contains all my research materials over the years. In addition to partial differential equations and combinatorial mathematics, there are also contents on harmonic analysis." Next, Academician Chu assigned Xu Qingzhou a task of reading books, including "Classic Fourier Analysis", "Modern Fourier Analysis", "Singular Integrals and Related Topics", and AMS's Fourier Analysis, etc. Some of the books here were ones Xu Qingzhou had read before. For example, the first two books, written by grafakos, are very good, but of course they also have shortcomings. The language of Guanghan is not explained clearly, and there are still many errors. These books have to be compared. "If you have any questions, just ask me."
"no problem." After staying in Academician Chu's office for a long time, Xu Qingzhou left with the hard drive. This is also the difference between graduate and undergraduate studies. Undergraduate studies focus on extensive course learning, which is mainly based on examinations and are more of a passive acceptance of knowledge, while graduate students focus on scientific research, which is mainly based on papers and projects. Graduate students need to conduct independent research and actively explore the frontiers of the discipline. Many people say that graduate students seem to have essentially left the category of students and have become office workers. Some first-year graduate students will attend classes, but Academician Chu will not, and he also feels that it is unnecessary. "Xu Qingzhou, it's snowing!" At 8 o'clock in the morning, Xu Qingzhou was sleeping soundly when he was woken up by Song Yao. He opened his eyes groggily and saw Song Yao standing excitedly at the head of the bed. "Let it snow, it snows every year." School Beauty Song wanted to pull him out of the bed. Xu Qingzhou turned over and covered himself with the quilt, not wanting to move. He had already been in Kyoto for a year, but School Beauty Song was still so excited to see the snow. “This is the first snow of 2015!” "It's chilly outside. This weather is perfect for sleeping." Xu Qingzhou was unmoved. He even tried to drag Song Yao into the abyss of depravity and invited her, "Do you want to lie down for a while?" Song Yao pressed on Xu Qingzhou through the quilt. "Get out of the way. It's too heavy." "Are you able to get up?" Song Yao rubbed Xu Qingzhou's face. "Ah~" Xu Qingzhou's sleepiness was wiped away by Song Yao, and he nodded helplessly: "Get up." 10 minute later. Walking to the balcony, Xu Qingzhou couldn't help but tighten his collar, and the cold wind blew into his clothes. “It’s raining really hard.” Xu Qingzhou was a little shocked. The whole world has turned into a vast expanse of white. Snowflakes are rolling all over the sky like goose feathers, fluttering in the air. The wind is getting stronger and stronger, and the snow is falling denser and denser, weaving a large white net. Song Yao, wearing a cute blue and white pajamas, reached out to catch the snowflakes, "It's so romantic for two people to watch the snow like this." "And a little silly." Xu Qingzhou couldn't help but add. How nice it would be to snuggle together in the quilt early in the morning. "Hiss~" The girl twisted the flesh on Xu Qingzhou's waist fiercely half a circle. "You mean Sazi?" "Nothing" Song Yao snorted and continued to lie on the railing to watch the snow.
Romantic as it was, after standing on the balcony for two minutes, Song Yao and Xu Qingzhou were forced into the house by the cold wind. "My waist is pinched by you during the day, and I have to work hard at night." Xu Qingzhou held his waist and went into the bathroom to wash up while mumbling. Song Yao felt like pulling this guy back and beating him up again. (End of this chapter)