Chapter 181 No, is he really good at it?
In the lecture hall, everyone's eyes were fixed on the young figure on the podium.
Some people have roughly guessed Xu Qingzhou's identity and showed curious expressions, while others had doubts in their hearts. Can a young man in his twenties really participate in the research of the world's top mathematicians just by listening to the report?
Academician Xu Shihui looked sighing with emotion, thinking that no wonder Lao Gu was so precious to this student. His words and deeds were natural and generous, and he already had the temperament of a great mathematician at a young age.
Next to him, Zhao Zhenglai had already shouted in his heart: Junior brother is so awesome!
Sha~Sha~
In front of the blackboard, Xu Qingzhou had already written out the first formula and said at the same time: "According to the position of the maximum value point of the Dirichlet series, we can transform the problem into a study of energy distribution, so maybe can more accurately estimate the frequency of large values.”
"Your idea is very interesting." Professor Maynard praised, picked up the chalk, and made calculations next to the formula.
The mathematicians sitting in the audience also did not waste time and had already started checking the manuscripts.
In the crowd, hearing Professor Maynard's evaluation of Xu Qingzhou, the Indian guy looked a little uncomfortable, "Fuck, this Xia guy seems to be really good at something."
Katherine stared at Xu Qingzhou, feeling that this person seemed to be getting more and more interesting. He was smart and calm, but too cold, especially when doing mathematical calculations. There was no warmth. She didn't like to fall in love with such a person.
Five minutes passed quietly.
Looking at the calculation results, Professor Maynard expressed surprise, "Perfect!"
"The Riemann Hypothesis tells us that for any σ>1/2, N(σ, T) is 0. We divide the problem into three situations where the additive energy E(W) is small, medium, and large, and through changes in parameters to handle every situation.”
Professor Maynard continued writing on the blackboard.
"Here, we need to mark the precise form of the phase function tlogn implicit in the Dirichlet series." Xu Qingzhou occasionally added.
"Yes, that's it!"
Looking at Xu Qingzhou, who was chatting and laughing with the two professors in front of him, the jealousy in the Indian boy's heart could no longer be expressed in words, and the corners of his mouth were twitching. No, how could he really do it? ? ?
Some people at the scene expressed emotion, thinking of that sentence, the results of your whole life's hard work are just what a genius can get after staying up for a few nights.
10 minutes passed.
There are two more blackboards with formulas in the lecture hall.
【$\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s}】
In fact, at this time, the time for the report meeting was over, but no one had any thoughts of leaving. They all looked at the two figures on the stage.
However, at this point, both Xu Qingzhou and Professor Maynard were stumped and couldn't think of how to proceed.
"Gentlemen." At this time, an old man wearing glasses came up.
Professor Maynard greeted: "Mr. Randolph."
Xu Qingzhou also greeted him. Philly Randolph was also invited to give a report. He is an expert in the field of harmonic analysis.
Philly Randolph smiled and waved his hand, stared at the formulas written by Xu Qingzhou and Professor Maynard, and said: "If, we use the special properties of exponential sums that appear in analytic number theory, instead of using people to reconcile Will there be other gains from the more general exponential sums encountered in the analysis?
Xu Qingzhou was a little surprised that this big man in the field of harmonic analysis actually recommended something from analytic number theory. Perhaps it was because he knew so much about harmonic analysis that he knew that using this method would lead to no solution?
Professor Maynard thought for a moment and nodded, "We can try."
As he spoke, he was already writing on the blackboard.
In the audience, Academician Xu Shihui and Zhao Zhenglai had complicated expressions.
Academician Xu Shihui sighed and said, "It seems that the talent of our student from the School of Mathematics is far more terrifying than we imagined."
Zhao Zhenglai agreed: "Yes, Junior Brother Xu also told me this morning that he is studying the twin prime conjecture."
"Twin prime conjecture?" Academician Xu Shihui was stunned for a moment. "Um."
"Tsk tsk, the little guy is very motivated."
Another 20 minutes passed, and still not many people left the lecture hall.
On the podium, new ideas once again encountered bottlenecks.
Professor Maynard stopped, feeling a little disappointed. From the known calculations, this path was simply impossible.
Xu Qingzhou frowned slightly, staring at all the calculation steps, recalling all the details that Professor Maynard had previously described in his mind.
The first steps are all standard steps. Based on Fourier analysis, the key phase matrix n^(it) must be raised to the sixth power and then...
His eyes narrowed, no, the following calculations are all It's biased, you need to go back to the previous step!
"Fourier analysis." Xu Qingzhou said this word.
Yes, the key lies in Fourier analysis.
It is the cornerstone framework of the entire paper. If there is a problem with it, no matter what method is used later, it will be the same as before, just useless.
The Indian guy was happy. Professor Maynard's paper was calculated based on Fourier analysis. If there is a problem with Fourier analysis, wouldn't it mean that Professor Maynard's entire research is wrong? .
Katherine waited with interest for Xu Qingzhou's explanation.
Many others were wondering if Xu Qingzhou had new ideas.
Professor Maynard and Professor Randolph both looked at Xu Qingzhou, wanting to know what he meant.
Xu Qingzhou proposed: "We can simplify the Fourier integral without using the stationary phase method and make concessions on the exponential to preserve a form of factorization that ultimately proves to be more useful than the stationary phase approximation."
"Not using the stationary phase method?" Professor Maynard was surprised.
Xu Qingzhou nodded, picked up the chalk and began to adjust the calculation formula.
In the lecture hall, most people still didn't leave, some because they really expected the three people above to bring outstanding results, and some people just wanted to join in the fun.
This kind of brainstorming game is the most talked about.
Everyone was quiet, staring at the formulas that kept appearing on the blackboard. The staff were waiting patiently to see if these mathematicians needed help wiping the blackboard or something.
Professor Maynard stared intently at the formula written by Xu Qingzhou, sometimes enlightened, sometimes surprised, or lost in thought. The expressions of the mathematicians in the audience also showed a hint of excitement.
If nothing else, this young man’s method is indeed feasible!
“Huh.”
In front of the podium, Xu Qingzhou stopped writing, looked up at the blackboard, exhaled slowly, and then turned to look at Professor Maynard: "Sorry, that's all I have in mind at the moment."
"No, Xu, I have to thank you, you have provided us with a new way of thinking!"
Professor Maynard shook hands with Xu Qingzhou and expressed his gratitude.
"Xu? He is the prover of Kramer's theorem."
"Xu Qingzhou."
"A rising star in the world of mathematics. I can guarantee that within ten years, this young man's name will definitely be on the list of winners of the Philippine Prize."
Hearing the title of Professor Maynard, some people reacted and looked at Xu Qingzhou. Their eyes were filled with wonder and lamented that Xu Qingzhou was too young.
(End of chapter)