I just want to be a quiet scholar

Chapter 233 Communication Between Intellectuals

A proof usually defines preconditions, and if the preconditions are defined wrong, then all subsequent work is meaningless.

According to Shen Qi's reputation, the questioner was Professor Yan.

Who is Professor Yan? His name tag reads "Professor Yan Gang of Huda University".

Shen Qi didn't know Professor Yan.

The circle of mathematics in China is not big, and the circle of number theory is even smaller, but Shen Qi knows not every expert and scholar.

Based on the principle of friendly communication, Shen Qi asked in a tone of asking for advice: "Professor Yan, I would like to hear more about it."

Professor Yan smiled and began to explain his reasons: "Shen Qi, in your report, the number of integral points on the curve determined by Equation 2 is determined by the number of prime factors of k, please return to the previous page. "

Shen Qi turned to the previous PPT page, waiting for Professor Yan's next explanation.

"For this Diophantine equation, I have done research for up to 8 years. The general view is that if m is equal to 0.1, it can be obtained from the classic theory of William Jonglen, and the equation has only positive integer solutions (X, Y) = (1, 1), this is somewhat different from the precondition you set, Shen Qi." Professor Yan spoke slowly, and he wore gold-rimmed glasses, giving off a gentle and elegant impression.

"This..." Zhou Yu'an, who was attending the meeting in this venue, showed a puzzled expression. He couldn't remember exactly what Joan Glenn's classic theory was talking about.

Ordinary people sometimes wonder why mathematicians can remember so many mathematical formulas, theorems, assumptions, and inferences?
Do mathematicians remember wrong?Will Joan Glenn's Theorem and Jack Jones' Theorem be misremembered?

Of course, mathematicians make mistakes and misremember.It's just that their memory is stronger than ordinary people, and they study mathematics every day, so the probability of making mistakes is lower.

Even a mathematician with a strong memory cannot remember all mathematical formulas, theorems, assumptions, and inferences. Therefore, mathematicians usually choose one or two, and no more than five main directions, and specialize in a few.

William Jongren is a Norwegian mathematician with little reputation. The Jongren's theorem left by him is an unpopular theorem in the branch of Diophantine equations in the field of number theory.

If you don't deal with number theory every day and devote yourself to studying the Diophantine series of equations, even a top student in the Department of Mathematics of Yanda University may not be able to remember the specific properties of Joan Glenn's theorem.For example, Zhou Yu'an.

It is very embarrassing for a high-end conference like the Chinese Mathematicians Conference to look up formulas and theorems with a math book when participating in a seminar.

Zhou Yu'an had studied the basics of number theory for one semester, and all students in their mathematics department had to take this course.

Zhou Yu'an, who has chosen Depth in differential geometry, can't remember the unpopular number theory theorem, it's normal.

Ouye is very familiar with number theory, and she remembers Joan Glenn's theorem, but she is in poor health, resting in the hotel, and did not come to the exchange meeting.

Zhou Yu'an was an observer and was not qualified to speak, but Sun Erxiong who brought him into the venue was qualified to speak.

After all, Sun Erxiong has been in the field of mathematics for so many years, so he can understand Professor Yan's point of view.

"This professor surnamed Yan, could it be that he wants to keep Shen Qi from stepping down?" Sun Erxiong frowned, thinking about countermeasures, and wanted to help Shen Qi out.

However, Sun Erxiong was too worried.

After thinking for a while, Shen Qi replied in a calm and unrestrained manner: "First of all, I completely agree with Professor Yan's point of view, Joan Glenn's theorem is applicable here. In fact, in my first version of the paper, I used Junger's theorem. ethical theorem."

"After thinking about it, counting the manuscripts, and combining the opinions and suggestions of Yanda number theory experts and Princeton researchers, I finally made up my mind to redefine the Thue equation in the ninth edition of the paper."

"In this definition, if for a certain k > equal to 0, u2k+1 is a square number, then u1 is also a square number. This is not contradictory to Professor Yan's point of view. I also thank Professor Yan for his insights." Shen Qi Statement calmly, without arrogance or impetuosity, stick to one's own point of view, and at the same time do not deny Professor Yan's opinion.

At this time, a young and middle-aged expert expressed his opinion: "Shen Qi redefines the Thue equation as a prerequisite. There is no problem with this. I have read the original text of the proof of Walsh's conjecture published by Shen Qi on JAMS, which paves the way for redefining the Thue equation. It seems complicated, but considering the overall situation, sharpening a knife is not a mistake in chopping firewood, and all solutions can be given by (u2k+1, v2k+1), which improves the accuracy of the full text and reduces unnecessary repeated arguments."

Shen Qi looked at this young and middle-aged expert. He looked about 34 or [-] years old, with thick hair and a Chinese character face with thick eyebrows and big eyes. His name tag was printed with the words "Professor Su Yiwen, University of Science and Technology of China".

Well, Professor Su is a sensible person, I like this one.Shen Qi didn't know Professor Su, but Professor Su's first impression on Shen Qi was very good, he was a fellow, worth getting acquainted with.

Sun Erxiong looked at Professor Su and smiled, Xiao Su, should you go back to Yanda?

Professor Su made imperceptible eye contact with Sun Erxiong. You are still so fat, old Sun. It seems that Yanda is treating you well.

As an observer and learner, Zhou Yu'an didn't quite understand the arguments of Shen Qi, Professor Yan, and Professor Su, but he keenly noticed that there must be a historical connection between Sun Erxiong and Professor Su of the University of Science and Technology of China.

Zhou Yu'an's observation skills are keen and accurate. Professor Su studied in the School of Mathematics of Yanda University from undergraduate to Ph.D.

Professor Su, who has a background in Yan University, supports Shen Qi with reason and evidence. The work he is doing is similar to annotating Shen Qi's works.

Experts and scholars at the meeting no longer disagreed on this issue. Shen Qi's explanation + Professor Su's annotations were perfect without any flaws. Shen Qi's redefined Thue's equation is a necessary premise to prove Walsh's conjecture and cannot be replaced.

Professor Yan said politely: "I have reservations, please Shen Qi continue to make a report."

Shen Qi smiled slightly and entered the follow-up report session.

The debate among intellectuals is not about shrews swearing at the street, agreeing or denying other people's views must have sufficient arguments and clear logic.

Shen Qi's proof of Walsh's conjecture has been published in the four major mathematics journals, and he has just won the Shiingshen Chern Mathematics Prize, and he is in the limelight.

Faced with doubts, Shen Qi can say, you can do what you want. You spent 8 years doing research before, why didn't you succeed in proving Walsh's conjecture?

But Shen Qi can't say that, he is a high-level elite, and he is about to be promoted to a master of mathematics, so he must have the demeanor of a master.

What is guru demeanor?
Elegant and calm to conquer you.

Shen Qi continued to give the report gracefully and calmly. He is a person who has passed the test organized by the Princeton mathematics boss. The number theory textbook for undergraduates of the Princeton Department of Mathematics was revised due to a proof by Shen Qi.

Shen Qi didn't say anything about this matter, so it would be meaningless to say it by himself.

When the new edition of Princeton's number theory textbook is published, in black and white, everyone can study it by themselves.

"Here I use the effective approximation of algebraic numbers. You are all experts, so I won't repeat the proof of the lemma, and just focus on the key points." Shen Qi explained all the way to the second half of the report, and most of the participating experts nodded their heads in approval. Can't stop talking.

(End of this chapter)