I just want to be a quiet scholar

Chapter 349 Make It Difficult?
Shen Qi quickly finished writing the formula on the blackboard, and he explained: "Whether it is the first type or the second type of reciprocal sequence relationship, we can do a sum transformation, considering the correlation matrix to transform the sequence (f) , then substitute the expression of f(n) and exchange the order of summation..."

"...after some simplifications, using the reciprocal sequence relation of the first kind gives g(k)=(a;q)k/(b;q)k(b/qa)k, that is, the special case The same applies to the second kind of reciprocal serial relationship, so the second kind of reciprocal serial relationship holds.”

"Do you have any questions?" Shen Qi asked the audience.

"It's amazing." Xiao Tao refused to accept it, he was most familiar with this subject of infinite series, and he was completely convinced.

Today was the first time Shen Qi saw this topic, and he immediately came up with a new solution, and self-guessed and proved the second type of reciprocal sequence relationship.

Shen Qi is a few years younger than me, this operation is super amazing...Xiao Tao knows everything, and Shen Qi solved the problem that had troubled him for more than a year on the spot.

"The second type of reciprocal sequence relationship is established, so let a and b take special values, and we can easily obtain the transformation formulas of two basic hypergeometric series!" Xiao Tao said loudly, and suddenly realized.

"I see." Director Wu stroked his chin and let out a long breath. This problem was finally solved.

Director Wu said earnestly: "Since Professor Shen is here, why don't you stay in our center for a few more days, we still have a lot of questions to ask you."

Shen Qi nodded: "Let's learn from each other."

In the next few days, Shen commuted between the hotel and the Morningside Math Center.

Director Wu and the researchers were highly academically enthusiastic. They were divided into several groups according to the nature of the topic, and took turns to ask Shen Qi for advice.

"Gong Zhu, why don't you stay at Huda after your Ph. D., or go to another university to find a job, but come to the center as a researcher?" Shen Qi will also chat with the researchers in the process of solving problems, so as to enhance mutual communication. learn.

Zhu Gong said: "There are a lot of struggles and troubles in the school. In fact, I worked in a university for two years, and it was terribly annoying. At that time, the center was just recruiting researchers, so I simply quit my job in the university and came here for peace. The academic atmosphere is relatively pure. Counting Director Wu, we have more than [-] guns who are dedicated to the front-line mathematics research, and each person is in charge of a field, which is endless. If there is no need to scramble, there will be no struggle.”

"That's right, you hit the nail on the head with the essential issue." Shen Qi understands Zhu Gong's mentality of aloofness from the world. Where there is competition for interests, there must be competition or even struggle. Under the fence, everyone has his own ambitions.

"Professor Shen, I study topological linear spaces, please help me with this topic..."

"It's easy to say, so and so, so and so..."

"Master, it really is a master. Listening to Professor Shen's words is better than studying for ten years!" Zhu Gong benefited a lot.

"Qin Gong, you are only a few years older than me, and you already have two children. You are amazing!" Shen Qi met another researcher named Qin.

"Me, I'm a very boring person. Apart from mathematics, I take care of the baby." Qin Gong was in his early 30s, with thinning hair and an honest face.

Shen Qi asked: "There are two children in the family, the financial pressure is not small, right?"

Qin Gong smiled, tired but happy: "It is a lie to say that there is no pressure, the pressure of happiness."

"Qin Gong, your subject is in the field of probability theory." Shen Qi flipped through the materials brought by Qin Gong.

"This problem has troubled me for many years. Bernoulli's law of large numbers, Chebyshev's law of large numbers, and Schinchin's law of large numbers. These three laws of large numbers are set according to the limit model, and they are always puzzling. Am I right? Haven't mastered the trick?" Qin Gong asked humbly.

Shen Qi gave the opportunity face to face: "The law of large numbers, especially Bernoulli's law of large numbers, I have some experience, such and such, such and such..."

Qin Gong was shocked at first, then clapped his hands and cheered: "Wonderful, wonderful! Professor Shen, you are not a mortal!"

The researchers at the Morningside Mathematics Center are relatively simple people, and Shen Qi quite likes dealing with them.

Within a few days, Shen Qi was proficient in infinite series, topological linear space, probability theory, harmonic analysis and many other fields, and the span was very large.

The researchers privately commented on Shen Qi: "Shen Qi's mathematics level is almost invincible, an all-round mathematician born once in a century!"

The last question was raised by Director Wu himself: "When a, b, and c are high-quotient numbers, there is a problem that has not been solved so far. There is only a positive integer solution x=y=z=2 for this Diophantine equation. Shen Professor, what do you think of this question?"

This... Old Wu, old Wu, it turns out that you are also studying the Jesmanovich conjecture... Shen Qi frowned in thought, seemingly stumped.

Old Wu asked this question very well, and Jesmanovich guessed it was Ouye's doctoral project.

Director Wu is closely following the popular research directions in the international mathematics circle. His research topic collides with that of a Princeton doctoral student.

Heroes see the same thing. Morningside Mathematics Center invites well-known mathematics masters to give lectures every year. Director Wu and researchers have an international perspective, which is worthy of recognition.

After proving Li's and Ge's conjectures, Shen Qi hasn't touched number theory for a long time, and the Jesmanovich conjecture is a number theory problem.

Even though he lived with Ouye, Shen Qi did not guide Ouye on the specific technical details of the Jesmanovich Conjecture. He only knew that Ouye was studying the Jesmanovich Conjecture.

If Shen Qi is fully fired, he wants to prove that Jesmanovich's conjecture is not difficult. It is also possible to give a little hint to the girlfriend of a doctoral student at PSU or the director of the Morningside Mathematics Center.

"Difficult, difficult." Shen Qi was clearly entangled, earning your 200 million is really not easy, I'm going to sell my girlfriend, she might be sick.

Director Wu knew that Jesmanovich conjectured that there were many minority theory teams working on it, but he didn't know that Shen Qi's girlfriend was one of them.

"Actually, it's our fault. Professor Shen has worked too hard these few days. If you are a person, you will get tired and exhausted. More than [-] of us come to you every day to ask questions and overdraw your inspiration. It is our fault. I am very sorry. Shen Professor, I don't have any more questions, so let's put it on hold for now." Director Wu is an honest man with a soft heart.

Understanding Long live, Shen Qi said: "I am a human being, not a god, and I also have shortcomings. Yesmanovich guesses that I really can't solve them. Please forgive me, Director Wu. Except for Jesmanovich's conjecture, I can Help us solve any other problems in the center."

Director Wu showed embarrassment: "But we don't have any problems for the time being, and you have solved everything that needs to be solved...except Jesmanovich's conjecture."

Shen Qi said awe-inspiringly: "If you have difficulties, you should go up, if you don't have difficulties, you should go up if you create difficulties!"

Director Wu boldly asked: "Then... then shall we create some difficulties?"

(End of this chapter)