From Almighty Scholar to Chief Scientist

Chapter 96 The Amazement of Two Philippine Award Winners and One War Award Winner (Fifth Watch)
After feeling emotional for an unknown amount of time, Professor Peter Sarnak finally looked at the end of the thesis again.

"Huh? By the way, did you prove Zhou's conjecture?"

Seeing the contents of the last two pages of Lin Xiao, Sanak raised his eyebrows and couldn't help feeling a little bit.

Zhou's conjecture is also a well-known problem in the study of Mersenne prime numbers.

However, due to the large value range of Zhou's conjecture, the research on the distribution of Mersenne prime numbers cannot provide much help, because Zhou's conjecture predicts the total number of all prime numbers of Mersenne numbers before a certain item, Therefore, in the Internet Mersenne prime search plan, Zhou's conjecture was not used, but the Lucas-Lehmer test method was used, and the fast Fourier transform was used before this method.

However, these two methods only use the characteristics of computers, that is, the ability of computers to perform repetitive work, so as to continuously calculate to larger numbers. However, due to the greater randomness of this method, so often Some slip through the cracks.

But now it seems that the Internet Mersenne prime number search project is coming to an end.

Sarnak sighed with emotion, feeling a sense of relief in his heart, and I believe that every mathematician who has studied Mersenne prime numbers will have this feeling, because a mountain in the mathematics world has finally been overcome by them.

With this kind of achievement, it’s no wonder that Lin Xiao didn’t submit the report until now. Professor Sanak even started to think at this time, when did Lin Xiao start researching this topic? It started at the time of the last report, which is really amazing.

While he was thinking in his mind, his phone rang suddenly, and he looked at the caller, it was Professor Pierre Deligne's phone.

"Professor Deligne should have read it too."

Professor Sanak smiled.

Although Professor Deligne does not mainly study the field of number theory like him, as a mathematician who has won the Fields Medal, Abel Prize, Wolf Prize, Craford Prize and other mathematicians, take a look at this It's also perfectly fine.

So looking at the time, Professor Deligne should have finished watching it at this time.

I just don't know what Deligne thinks, at least after reading it himself, he didn't find any problems. The whole argumentation process was very rigorous, and he couldn't find any faults at all.

So he connected the phone, and he smiled and said, "Professor Deligne, how is it?"

"Who wrote this paper?"

"Lin Xiao, didn't you read the name?"

"I read it, but, do you know that Professor Pompieri has such a student? Professor Pompieri and I are both retired. He should have no students, right? Let alone a student from Huaguo."

Professor Sanak was taken aback: "Professor Pompieri? Isn't he traveling in Europe now? Why did you mention him again?"

"In the acknowledgments at the end of the paper, this Lin Xiao expressed his gratitude to Professor Pompieri. Professor Pompieri provided him with the manuscript of Professor Atle Selberg. I said why his paper contains Part of it felt familiar to me, and I’d heard him bring it up in previous discussions with Selberg.”

Sarnak couldn't help being stunned. How did Lin Xiao meet Professor Pompieri again?
One is in Europe and the other is in East Asia. Could it be that Professor Pompieri has also contacted Lin Xiao?

"I do not know."

That's all he could answer.

In the end, the two professors made up their minds and decided to ask Professor Pompieri directly, so they made a conference call to Pompieri.

After Pompieri knew their purpose of coming, he was not only surprised, but also quite surprised.

"When I was traveling in Europe, I was invited by the IMO to go to Romania. After arriving there, I accidentally learned that Lin Xiao was among the players of the Huaguo team. It happened that his Fibonacci I have also read the paper on the deed sequence, and I am very interested, so I went to get to know it."

"...he talked about his recent research problem, so I provided a little help. By the way, you said...he successfully determined the distribution law of Mersenne prime numbers?"

Hearing Professor Pompieri's statement, both Sarnac and Deligne felt that it was such a coincidence.

"Yes, if I read correctly, his new group transformation method can already predict the distribution of Mersenne prime numbers, and I can guarantee that those who study the Langlands program will also be surprised. Group theory , modular form, and the prime number problem, oh, I seem to feel that the topic I studied about the L function before can also be used... All in all, with this achievement, even if I go to the International Conference of Mathematicians in August to do a Hourly reports are fine, but it's too late now."

Professor Deligne said with emotion.

Professor Sanak said: "He did not receive an invitation for a one-hour report, but he received an invitation for a 45-minute report in the field of number theory, and this paper is exactly what he plans to report later."

"This..." Professor Deligne was surprised again.

In the end, he could only sigh with emotion: "If he was studying at IAS, I would want him to be my student."

Sanak: "No, you don't want to, you have to let him finish his master's and doctoral degree with me first, and then your IAS will not recruit a student who has not graduated from graduate school, and you are all retired."

"I can re-employ after I retire. I am a lifelong researcher of IAS, even after I retire."

Hearing Professor Deligne's ostentatious words, Sanak was helpless.

You are a boss, you can't afford to be provoked.

The tenured fellowship of the Princeton Institute for Advanced Study is one of the most famous honors in the academic world. There are very few professors who can get this seat, and Professor Deligne is one of them. Even Sanak will feel envious.

"Okay, let's go here first."

Seeing that there was nothing to say, Professor Pompieri said, "It seems that I also have to prepare and set off for Rio de Janeiro."

Deligne also said: "I also look forward to that day."

At this time, Professor Sanak thought of Professor Wiana again, and he still wanted to inform Professor Wiana of the results.

Since Professor Deligne has approved it, and he has not found any mistakes, it is basically certain that there is no problem. Of course, during this period of time, he probably needs to read this paper a few more times to confirm repeatedly. This is an important achievement, no matter how rigorous it is, he will also find other professors in the field of number theory at the Mathematicians Conference to have a look at it. Similarly, this is also to help Lin Xiao publicize it.

Maybe, this simple 45-minute report will trigger a shock no less than a one-hour report?

Professor Sanak is also not sure.

So, after the three experts in mathematics bid farewell to each other, they closed the conference video.

…………

[Thanks to the leader of Gu Wendao for the reward, thank you very much! 】

　Regarding the update:
　　1. It was updated at 0 o'clock yesterday because of the launch, and it will be around 11 o'clock in the morning before the update time resumes.

　　2. Try to update the [-]D every day after it is put on the shelves, but because the author needs to complete the graduation thesis, sometimes it may not be possible to update the [-]D, please understand
　　3. There is no plan to add more updates, and it is not easy to keep [-]D updates (╥_╥)
　　[Thank you for the reward of 5000 starting coins from Wuma Feiyang, thank you for the reward of 160429223328360 starting coins at 2000, and thank you for the reward of 1500 starting coins from Peggy the Wild Boar, thanks to the other side of the illusion, Mr. Feishen, a generation of salty people, and Artoli Ya. Panduolagon’s reward of 500 starting coins, thanks to 20200618061729698 for the reward of 233 starting coins, thanks to the reward of 100 starting coins for crossing the hills but finding no one waiting, the indescribable demon god, the killer of rich women in Beishangguang, and the charming Hanmei]

　　
　
(End of this chapter)