"In the next period of time, I hope that Shen Qi and Mary can concentrate on revising "The Problem of the Riemann Zeta Function ζ(2n+1)". The solution of this topic is of great significance to the Riemann Hypothesis." Muller said In his mind, Shen Qi is no longer an ordinary graduate student. Shen Qi is an award winner who can undertake research on important academic topics.

"Okay, I have no problem." Shen Qi nodded.

"I have no problem." Mary glanced at Shen Qi, who seemed to have become the backbone of the team.

"If..." Jonas, who had been drinking coffee and not talking, suddenly spoke.

The other three looked at Jonas.

Jonas poured himself a cup of coffee and said with a sunny smile, "I mean it would be nice to have another cup."

"No, Jonas, that's not what you meant originally." Shen Qi shook his head, he obviously felt that Jonas wanted to talk about some academic issues.

Mary also felt this way. She knew Jonas's level. She had asked Jonas for advice with the first draft of "The Problem of the Riemann Zeta Function ζ(2n+1)", but Jonas ignored her.

Muller said to Jonas: "Jonas, when you were a graduate student, you published a paper. You assumed that the Riemann conjecture was true, and you got a deduction for any positive number ε. It is precisely because of this paper that I Choose you as my doctoral student."

"Why not directly prove Riemann's fifth conjecture, but spend energy to prove the two recursive formulas of Riemann's zeta function ζ(2n+1)?" Jonas said, at this time he put away his different ideas. With the Buddhist attitude of delighting things but not sorrowing oneself, he became serious and serious.

"All six of Riemann's conjectures are related before and after, and we should consider the overall situation. The two recursive formulas of Riemann's zeta function ζ(2n+1) are very necessary, Jonas." Muller in academic There was a disagreement with Jonas on the issue.

"Well, maybe Professor Muller is right, but I stick to my point of view." Jonas is usually quite Buddhist, and he doesn't care about anything, but he is very stubborn on academic issues.

This was the first time Shen Qi had seen Jonas look so serious. Sure enough, Jonas had two skills, otherwise he would not have been a doctoral student in Princeton's Department of Mathematics.

"So Jonas, the subject you have been researching is to directly prove Riemann's fifth conjecture?" Shen Qi asked.

"A very challenging thing, isn't it, Shen Qi?" Jonas put away his argumentative tone, looked at Shen Qi with a smile, hoping to get Shen Qi's support.

"Jonas, I admire your courage, but on the issue of RH, I agree with Professor Muller's point of view, consider the overall situation, and proceed step by step." However, Shen Qi is in the same group as Professor Muller and Mary on the issue of RH of.

This disappointed Jonas. He resumed his Buddha-like posture, shrugged his shoulders indifferently and said, "Why not."

Riemann only published one paper related to number theory in his life. In this paper, Riemann made a total of six guesses.

Among them, guesses I, III, and IV are about the infinite product of ζ(s) and ξ(s).

Conjectures II and VI are about the properties of non-obvious zeros.

The guess V has the most far-reaching influence, which is now called the Riemann conjecture.

What Jonas means is that there is no need to make preparations, and there is no need to consider Riemann's guesses I, II, III, IV, VI, and directly attack the fifth guess, RH.

This Swede hides a wild heart under his Buddhist appearance...Shen Qixin said that Jonas, if you play like this, you may not be able to graduate with a doctorate until you are 60 years old.

On the same issue, Mueller's four-person team has two different solutions.

The goal is the same, which is to finally prove RH.

Muller, Shen Qi, and Mary advocated improvement and innovation on the basis of the Hadamard system, and completed the proof of RH step by step with a conservative and safe method.

Jonas is obviously a crazy fan of Hardy's system, and he uses radical solutions to try to get it right in one go.

History tells us that whether it is Hadamard and his assistant Sherno, or Hardy and his assistant Ramanujan, the two top teams failed to make a final breakthrough in front of RH.

However, Hadamard and Hardy left a valuable academic legacy for the latecomers. The two systems have their own advantages and disadvantages, and how to maximize their strengths and avoid their weaknesses depends on the users.

Jonas finally worked hard to improve his performance, but he found out that he was an outlier, and the other three in the four-person team were not in the same pattern as him.

"I also respect Jonas' point of view. The meeting is adjourned, and Shen Qi will stay." Professor Muller said.

There are only Mueller and Shen Qi left in Mueller's office. Mueller said: "At least on the issue of the Riemann Hypothesis, we agree with each other."

"Yes, Professor Muller, both Hardy and Ramanujan are geniuses, but I prefer the Hadamard system. We must be cautious about the Riemann conjecture. Even the phased results will be of great significance." Shen Qi in Riemann's conjecture is a matter of pragmatism. When the mathematics level is not above the master level, it is better to be conservative.

"Then, let's talk about the orbifold, Shen Qi. I understand your doubt as a situation similar to the symplectic manifold..." Muller talked about his views on the orbifold.

"So that's it, I understand." Shen Qi chatted with Mu Le for one afternoon and one night, and almost learned all the old Mu Le's lifelong knowledge.

"Young man, you have to learn to relax, relax!" Mueller panted tiredly, "Shen Qi, you need girls, yes, young girls. Go, you go to the Tiger Hotel for a drink, there are all kinds of young girl, and I'm just a bad old man."

Shen Qi packed up the materials and said, "Professor Muller, I'm leaving. I'll come to you tomorrow to ask another question."

"Unfortunately, I'm going to Yellowknife Town to chase the aurora tomorrow, and I will return to Princeton in a few days with my wife." Afraid that Shen Qi would not believe it, Mu Le took out the ticket from the drawer and showed it to Shen Qi. New York flew to Vancouver, and then flew again. Yellowknife Town, enough to toss.

"Okay, have fun." Shen Qi said. .

Girl, young girl.

When talking about young girls, Shen Qi naturally thought of Ouye.

Ouye also misses Shen Qi.

When Shen Qi was around, Ouye couldn't bear it physically.

Shen Qi left, Ouye's heart missed the distance.

This longing was conveyed to the United States through the Internet and international long-distance, and it was full of love.

"Little Yezi, the medicine can't be stopped, remember?"

"Well, it hasn't stopped."

"But I am also worried that the medicine is three-point poisonous, and taking medicine for a long time is always not a good thing."

"But... hey, I don't want to be like this either."

"Auspicious people have their own astrology, the key is to have an attitude of actively cooperating with treatment."

"By the way, the red envelope given by Uncle Shen is so big."

"It's not too big, you can use the red envelope money to buy some good supplements, don't stop buying snow clam, bird's nest and shark's fin. Diet therapy is also a method, which is better than drug treatment."

"Well... there are guests at home, my dad told me to go downstairs, we will talk tomorrow, happy New Year's Eve."

"Your family still lives upstairs and downstairs, a duplex, a villa, or a self-built house? Hey, hey..."

Ouye's phone was cut off. It's the end of January, and China is celebrating the New Year.

Shen Qi celebrates the New Year alone, feeling suddenly lonely.

No family, no girls, no couplets, no firecrackers.

The only thing that accompanied Shen Qi was mathematics.

...

(Ten likes are very important, and ten monthly tickets are equally important)

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