From small town academic to chief scientist

Chapter 163 Perfecting the Complex Analysis Method

Many mathematicians present looked at Zhouyi with mixed feelings.

From the initial article on the proof of Newton's lattice pattern in 567 dimensions, to the proof of Kepler's Zhouyi theorem, to the proof of Newton's Zhouyi theorem, to the proof of Hilbert's eighteenth question, to the proof of Beer's Zhouyi theorem ,

It only took half a year, and even some of this year's Nobel Prize winners may not be as dazzling as Zhou Yi.

There are three awards a year, the ICCM Mathematics Gold Medal, the Veblen Geometry Prize, and the Ramanujan Gold Medal, plus Zhou Yi’s undergraduate achievements. Even though Zhou Yi’s achievements are currently not as high as Ramanujan’s, the future is uncertain.

Learning mathematics requires talent and hard work. When the two are in the same person, there may be another grand slam winner.

However, in the eyes of some mathematicians, Ramanujan may be a time traveler, and he came from hundreds of years in the future.

What surprised Zhou Yi was that Carlos came again.

However, Zhou Yi thought about it again. This old professor is the chairman of IMU. He has not yet changed his term, so it is normal for him to come.

After all, the Ramanujan Prize is not awarded by one unit, but jointly by the International Center for Theoretical Physics (ICTP), Asan Ministry of Science and Technology and the International Mathematical Union (IMU).

That’s why it appears to be very valuable.

After the Book of Changes came down, various celebration activities began.

"We meet again, Zhou Yi."

Carlos said with a smile.

"Hello, Professor Carlos, we meet again."

Zhou Yi also said very enthusiastically.

"Congratulations, you have three major awards in half a year. If it weren't for the fact that the Kohl's Number Theory Award had to wait two years to be awarded, I think the Federal Mathematical Society would be eager to award you a medal."

Carlos said very enthusiastically.

Zhou Yi modestly said:

"It's an exaggeration. It's just a trivial contribution, and it can't promote the development of the mathematics community. After I prove the ABC conjecture, I may be qualified to say this."

No LV7 wants to promote the development of mathematics unless the system is very powerful.

Otherwise it would be difficult.

Based on Edward Witten's physical level, his physical level is estimated to be LV7.

The six math emperors are estimated to be at LV7 in math.

But with the current level of Zhouyi, it should be very vigorous to apply it.

Carlos shook his head and said:

"Solving difficult conjectures is also a manifestation of talent. Not everyone can promote the development of mathematics. Zhou and You fell into a misunderstanding.

Even if there are many mathematicians who have not won the Philippine Prize, aren’t they still proving some important conjectures and promoting the development of mathematics?

And many people are not as young as you, let alone as accomplished as you are. There is a Chinese saying that you should not belittle yourselves, not to mention Zhou's geometry and analytical methods will also shine. "

Zhou Yi nodded and said:

"Thank you Professor Carlos for your advice."

"Haha, don't say anything about giving or not, I am your most loyal fan!"

Zhouyi:...

This is quite embarrassing.

"We're getting ready to go back to Princeton, what about you?"

"I'm going to stay for a few days to give a lecture at the university here."

Carlos said.

Zhou Yi nodded and said:

"Then let's just say goodbye."

Carlos suddenly said:

"Aren't you going to stay here to give lectures and promote your academic achievements or directions?"

this..

It seems to be a good choice. Scientific research assistant is worth promoting here, and no one is submitting articles for Zhou's Geometry, which is quite annoying for Zhou Yi.

Doing some reports at Asan's university seems to be a feasible suggestion.

"But no one invited me."

Zhou Yi said.

Carlos smiled and said:

"Leave it to me. With your current achievements, especially being the winner of the Ramanujan Award, your reputation in Asan University is not low."

Zhou Yi nodded and said:

"Thank you very much, Chairman Carlos."

"Haha, okay, let's go together."

Carlos said very happily.

Not long after, Zhou Yi said to his senior brother:

"Senior brother, will you go back later?"

Tan Mingming knew his position very well and said:

"good."

Anyway, it was a public trip, just to see Asan's prosperous university. He would have to pay for it himself in the future, unless Asan's university took the initiative to invite him to give a report.

"See you tomorrow then."

Carlos said,

"I still have to deal with some of their officials."

"See you tomorrow."

Zhou Yi and Tan Mingming said.

Back in the hotel room, Zhou Yi opened his social platform as before, and then took photos.

[The seventh Ramanu Gold Award of Daxia nationality, a dog-headed person, and then he has to give lectures in various universities in Asan. I am going to promote scientific research assistants at Asan’s university. The scientific research assistant Ah San language is now online. There is currently no charge and it is free to use. This is also one of the projects of the Hundred Schools Alliance of Literature and History. You can pay attention to it. 】

As soon as Zhou Yi was posted, comments came back almost instantly.

[The project of the Hundred School Alliance actually cooperates with scientific research assistants. Is Zhou Shen such a big deal? But I still don’t want to do it, I’ll piss you off to death, just a little bit. 】

[It must be the next one. I am also one of the research monks participating in the project. It is powerful and worth downloading. 】

[Can you please stop talking about this software? Zhou Shen has four awards a year, have you ignored them? Zhou Shen, I am your crazy fan. The assistant is down, the membership is open, call me for the lottery! 】

[The Federal Title Award of the American Competition, the ICCM Mathematics Gold Medal, the Veblen Prize, the highest award in geometry, the Ramanu Gold Medal, the highest mathematics award in developing countries, who else! Zhou Shen is awesome (broken sound)]

[Breathe in the air of the gods and pray for me to get good grades at the end of the semester and not fail the exam. 】

Zhou Yi took a look and it seemed that these were true fans, otherwise they would not have replied so quickly.

Seeing that the purpose of advertising was achieved, Zhou Yi put down his mobile phone, took out paper and pen, and continued to think about the 3n+1 conjecture.

As for the flattery from various media, Zhou Yi is already used to it. Zhou Yi feels that he is only one step away from proving Goldbach's conjecture before being known to the whole country.

But in order to prove Goldbach's conjecture, Zhou Yi felt that it would be more appropriate to prove Polignac's conjecture first.

Two conjectures, as long as one of them is proved, the other means that it will be completely solved in a very short time.

Of course, this is just a guess from Zhou Yi. Whether it works or not depends on practice, and maybe the reverse may not be true in the end.

Early the next morning, Zhou Yi followed Carlos and others to various prestigious schools in Asan to give reports.

The first university is the most valuable university in Asan, Asan Academy of Science.

Asan Institute of Science is located in the southwest of Asan, in Bangalore, Karnataka. It was founded in 1979 and is one of the most prestigious institutions of higher education in Asan.

The lecture was a success, with many masters and PhD students attending, and even many undergraduates attending.

The number of people was large, no less than a thousand people.

Zhou Yi also took the opportunity to promote Zhou's geometry and scientific research assistants on the spot.

The achievements of the Ramanujan Prize and the Veblen Geometry Prize were enough to touch people's hearts. Most of the students on the spot downloaded it.

This made Zhou Yi very satisfied, and the efforts of the past few days were not wasted. More importantly, many PhDs and masters in mathematics took the initiative to ask Zhou Yi about the content of Zhou's geometry.

And it's quite in-depth, which surprised Zhou Yi. It won't be long before these leeks will publish papers.

Zhou Yi decided that after returning to China, he would also give lectures at prestigious universities across the country to promote his Zhou geometry and scientific research assistants.

Before leaving Chou Country, Zhou Yi also prepared to spread the word in Chou Country.

As long as the people at the top start using it, the people below will definitely follow closely.

For five consecutive days, the exclusive plane flew non-stop and went to more than a dozen universities. Zhou Yi and others left Asan.

Zhou Yi gained a lot from this trip to India.

Not only did he win the award, his scientific research assistant promoted it, and he knew that someone was studying Zhou's geometry. More importantly, Zhou Yi got an idea about the twin prime number conjecture from communicating with Wu Baozhu.

Although it is not used now, it does not mean that it will not be used in the future.

The 3N+1 conjecture also yielded some new inspirations from the Book of Changes. I gained some inspiration during the lecture and returned to Princeton to communicate more with experts in analytic number theory.

Maybe it will be proven.

Zhou Yi said on the plane:

"When you encounter a bottleneck, you really can't stay in seclusion. You really have to come out and look for inspiration."

Carlos said:

"Isn't it the same with Wu Baozhu at the beginning? At one time, he thought that the basic lemma of the Langlands Program could not be proved, but it turned out to be proved. Therefore, communication is necessary, and it is also necessary not to give up."

Tan Mingming on the side also said:

"The Langlands Program is a dauntingly grand conjecture that spans several major fields in contemporary mathematics, including number theory, group theory, representation theory, and algebraic geometry.

Once complete proofs are obtained, many central problems in these fields will be easily solved.

Although most of the conjectures in the program have not been proven to this day, Arthur said that the proof of the basic lemma will become a cornerstone of this topic. "

Carlos also said:

"This is also the reason why Wu Baozhu won the Philippine Prize. The complete proof of the Langlands Program may still require the efforts of several generations of mathematicians. Many outstanding mathematicians in your country of Great Xia are doing this, including Langlands himself. Doing it too.”

Zhouyi said:

"I'm also going to go back to visit this old professor and talk to him to see if I can gain anything."

Zhou Yi guessed that this math master's math level might be a LV7 master. Even if he wasn't, it would be at least LV6.

After all, he is a winner of both the Abel Prize and the Wolf Prize.

The plane was safe. After landing, Zhou Yi took the initiative and said:

"Professor Carlos, I will go back first. Many people are using my analytical method to study several famous number theory problems."

Carlos said:

"Zhou, you have to be confident, you need to look for inspiration everywhere, then they must be too.

Even if they live for decades and have many ideas, they may not be as fast as you. Your teacher Deligne said,

The older mathematicians get, the less imagination they lose. This is also one of the dilemmas of us old men.

And you have imagination, sufficient skills, and a suitable atmosphere. I am very optimistic about you. "

Zhou Yi said very politely:

"Thank you, old gentleman, for your encouragement."

Carlos said very naughtily:

"I'm your loyal fan, don't let me down."

Zhou Yi said with great certainty:

"It will not let you down!"

Not long after, Zhou Yi, Tan Mingming and Carlos said goodbye.

Carlos has other things to do when he goes to Ugly Country, otherwise he might go back to Europe directly.

Zhou Yi and Tan Mingming did not delay and went straight to Princeton.

After returning to Princeton, Zhou Yi went to meet Milnor and Deligne.

Zhou Yi was going to ask about the manuscript issue that Tan Mingming mentioned before.

As for Milnor's manuscript on Kepler's conjecture, Zhou Yi was not prepared to ask for it.

This thing is so applicable that even if Milno doesn't prove it, it is likely to be used by Chou Country.

Zhou Yi felt that he had to be knowledgeable, otherwise he might not be able to return to his country.

The process of proving a conjecture will give rise to many new algorithms and theories. Perhaps these algorithms and theories did not prove the conjecture that has been conquered in the end.

But it’s no problem to use it for application.

Just do pure numbers. Hilbert's 18th question is very applicable.

So although Zhou Yi was a little embarrassed when he saw Deligne, he still said:

"Teacher, I want to see the original manuscripts of "Fundamentals of Algebraic Geometry" and "Draft Program"."

Deligne was not too surprised. She thought Zhou Yi was embarrassed and had to speak later, but she didn't expect to speak now.

"The original manuscript of "Fundamentals of Algebraic Geometry" is basically the same as the current content. As for the original manuscript of "Draft Program", I will look for it for you. I will ask my assistant to inform you in a few days."

Deligne said lightly,

"How is the research on the 3n+1 conjecture going?"

Zhouyi said:

"There are some bottlenecks, but there are also some new ideas. I want to see if I can start from the perspective of algebraic geometry, but there is not much hope."

"I don't think it's big either."

Deligne muttered, it was strange that this could be connected.

Then Zhou Yi went to Milno's office to talk for a while.

Milno thought for a long time before speaking:

"I think it is also a reliable way to study the 3n+1 conjecture from the complex analytical method. The 3n+1 equivalent function equation. I remember that in 1998, S. Letherman, D. Schleicher and R. Wood proved:

Any integral function h(z) makes g(z)= z/2+(1-cos πz)(z+1/2)/2+1/π(1/2-cos πz) sin πz+ h(z ) sinπz satisfies: N ∈φ(g). If you study their problems, you may be able to get a new idea. "

Zhou Yi was surprised. He didn't expect Milno to have studied the 3n+1 conjecture.

Seeing Zhou Yi's somewhat surprised expression, Mirno smiled and said:

"I also studied this conjecture at the beginning, and it was very popular. I hope this suggestion will be helpful to you."

Zhouyi said:

"Thank you teacher."

"Have you heard about the legend of Ramanujan from Asan?"

Milno suddenly asked at this time.

Zhouyi said:

"I heard about it. I heard that he comes from the future. I think his talent may have been exaggerated."

Mirno said thoughtfully:

"Maybe."

After talking for a while, the thoughts in Zhou Yi's mind were almost unstoppable.

I thought I still needed to talk to Langlands, but now it seemed to Zhou Yi that it was no longer necessary.

The complex analysis method may be completely completed in the next week or two, and then the 3n+1 conjecture can be solved.

And maybe you can also think about the inspiration Wu Baozhu gave Zhou Yi at the same time.

After Zhou Yi explained the situation to Mirno, Deligne, and Tan Mingming, he then purchased a lot of food and prepared to retreat.

As for the time to leave, I have to completely perfect the mathematical tool of complex analysis before I can take a break.

For seven consecutive days, Zhou Yi basically never stepped out of the door. It was not until the complex analysis method was completely perfected that Zhou Yi saw the possibility of solving the 3n+1 conjecture.

Next, it’s time to completely solve the 3n+1 conjecture!

PS: I have to attend a wedding for several days in a row, so I will be able to write more the day after tomorrow. Please vote for me.

I recommend a book called "Man Tang Hong" by the LV5 author and Wan Ding. This book is also a masterpiece. Dao Caoju gave it a thumbs up when the author was new to the book, and I have returned it now, although it is a bit late.

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