Shen Qi quickly finished writing a blackboard formula, and he explained: "Whether it is the first type or the second type of mutual inverse sequence relationship, we can do a sum transformation, considering the correlation matrix to transform the sequence (f), then substitute the representation of f(n) and exchange the summation order......"

“…… After some simplification, g(k)=(a;q)k/(b;q)k(b/qa)k can be obtained by using the first type of mutual inverse sequence relation, that is, this special case is also applicable to the second type of mutual inverted sequence relation, so the second type of mutual inverted sequence relation is valid. ”

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

"Awesome. Xiao Tao was not convinced, he was most familiar with the 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 guessed and self-proved the second type of mutual inverse sequence relationship.

Shen Qi, he is a few years younger than me, this operation is super super...... Xiao Tao was able to understand it at one point, and the problem that had plagued him for more than a year was solved by Shen Qi on the spot.

"The second type of reciprocal inverse sequence relation is valid, so let a and b take special values, and we can easily get the transformation formula of the two basic hypergeometric series!" Xiao Tao said loudly, and his mouth was suddenly opened.

"I see. Director Wu touched his chin and took 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 for you." ”

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

For the next few days, Shen traveled back and forth between the hotel and the Morningside Math Center.

Director Wu and the researchers were enthusiastic about their academics, and they were divided into several groups according to the nature of the subject and took turns to ask Shen Qi for advice.

"Zhu Gong, why don't you stay at Huda after graduating from your Ph.D., or go to other universities to find a job, but come to the center as a researcher?" Shen Qi would also chat with the researchers in the process of solving problems to enhance mutual understanding.

Zhu Gong said: "There are many struggles in the school, and there is trouble. In fact, I worked in a university for two years, and it was very annoying, and the center was just recruiting researchers, so I simply quit my job in the university and came here to be quiet. The academic atmosphere of the center is relatively pure, counting Director Wu, there are only more than 20 guns dedicated to front-line mathematics research, and one person is in charge of a field, and we can't finish it. If there is no rush to grab it, there will be no struggle. ”

"That's right, you're getting to the point. Shen Qi understands Zhu Gong's mentality very well, where there is a competition for interests, there must be competition and even struggle, some people choose to make a bold move to fight a bloody road, some people retreat and pick chrysanthemums under the east fence, everyone has their own ambitions.

"Professor Shen, I am studying topological linear spaces, can you help me take a look at this topic......"

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

"Master, sure enough, it is a master, listening to Professor Shen's words is better than reading a book for ten years!" Zhu Gong benefited a lot.

"Qin Gong, you are a few years older than me, and you have two children, amazing!" Shen Qi met a researcher surnamed Qin again.

"I'm a very boring person, except for math is to bring a baby. "Qin Gong is in his early thirties, with thin hair and a thick face.

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

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

"Qin Gong, this topic of yours is in the field of probability theory. Shen Qi flipped through the information brought by Qin Gong.

"This problem has been bothering me for many years, Bernoulli's law of large numbers, Chebyshev's law of large numbers, and Sinchin's law of large numbers, these three laws of large numbers are set according to the limit model, and they are always difficult to understand, is it that I have not mastered the trick?" Qin Gong humbly asked.

Shen Qi should teach face-to-face: "The law of large numbers, especially Bernoulli's law of large numbers, I have some experience, so and so, so and so ......."

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

The researchers at the Morningside Math Center belong to a relatively simple group, and Shen Qiting likes to deal with them.

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

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

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

This...... Old Wu, old Wu, it turns out that you are also studying the Jesmanovich conjecture...... Shen Qi frowned in contemplation, as if he was stumped.

Lao Wu's question is easy to ask, and Jesmanovich guesses that it is Ouye's doctoral topic.

Director Wu closely follows the popular research direction of the international mathematics community, and his research topic collides with the project of a doctoral student in the Department of Mathematics at Princeton, who is Shen Qi's girlfriend.

The Morningside Mathematics Center invites famous math leaders to give lectures every year, and Director Wu and the researchers have an international vision, which is worthy of recognition.

After proving Li Guess and Brother Guess, Shen Qi has not touched number theory for a long time, and Jesmanovich guesses that it is a number theory problem.

Even if he lived with Ou Ye, Shen Qi did not instruct Ou Ye on the specific technical details of the Jesmanovich conjecture, he only knew that Ou Ye was studying the Jesmanovich conjecture.

If Shen Qi is full of firepower, it is not difficult for him to prove Jesmanovich's conjecture, and it is also possible to give a little hint to his girlfriend who is a doctoral student at the University of Mathematics or the director of the Morningside Mathematics Center.

"It's hard, it's hard. "Shen Qixian's entanglement, it's really not easy to earn your 2 million, I'm going to sell my girlfriend, she may not be able to afford to get sick.

Director Wu knew that Jesmanovich had a lot of number 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 days, people will be tired, they will be tired, we have more than 20 people asking you questions every day, overdrawing your inspiration, it's our fault, I'm very sorry. Professor Shen, I don't have a problem, Jesmanovich guesses to put it on hold for now. "Director Wu is an honest man and soft-hearted.

Long live understanding, Shen Qi said: "I am a human being, not a god, I also have shortcomings, Jesmanovich guesses that I really can't solve it, please forgive Director Wu." Except for the Jesmanovic conjecture, I can help our center solve any other problem. ”

Director Wu looked embarrassed: "But we don't have any problems for the time being, and you have solved everything that should be solved...... Except for the Jesmanovich conjecture. ”

Shen Qi said awe-inspiringly: "If there are difficulties, you have to go up, and if there are no difficulties, you have to go up if you don't have difficulties!"

Director Wu dared to ask, "That...... Shall we make it a little difficult then?"