A proof usually defines the premises, and if the premises are defined incorrectly, then all the rest of the work is meaningless.

Shen Qishun went to the prestige, and the questioner was Professor Yan.

Professor Yan is also a person, and his name tag reads "Professor Yan Gang of Huda".

Shen Qi didn't know Professor Yan.

The circle of Chinese mathematics is not large, and the circle of number theory is even smaller, but not every expert and scholar, Shen Qi knows it.

In line with the principle of friendly exchanges, Shen Qi asked in a consultative tone: "Professor Yan, I would like to hear more about it." ”

Professor Yan smiled faintly and began to explain his reasoning: "Shen Qi, in your report, the number of whole points on the curve determined by equation 2 is determined by the number of prime factors of k, please go back to the previous page. ”

Shen Qi flipped to the previous page of PPT and waited for Professor Yan's next elaboration.

"I have been studying this Diophantine equation for 8 years, and the general opinion is that if m is equal to 0.1, according to the classical theory of William Jongren, the equation only has a positive integer solution (X,Y)=(1,1), which is different from the premise set by Shen Qi. Professor Yan speaks at a slower pace, and he wears gold-rimmed glasses, giving people a suave impression.

"This ......" Zhou Yu'an, who was attending the meeting at this venue, showed a puzzled expression, he couldn't remember what Jondgren's classical theory was talking about.

Ordinary people sometimes wonder why mathematicians can memorize so many mathematical formulas, theorems, hypotheses, and inferences.

Will mathematicians be mistaken? Will the Jones and Jack Jones theorems be wrong?

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

Even mathematicians with a strong memory can't remember all the mathematical formulas, theorems, hypotheses, and inferences, so mathematicians usually choose one or two, and no more than five, and specialize in a few.

Wilhelm Jongren was a Norwegian mathematician who was not well known, and his legacy is one of the less popular theorems 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 Yan University may not be able to remember the specific properties of Jongren's theorem. For example, Zhou Yu'an.

At a high-end conference like the Chinese Mathematicians Conference, it is very embarrassing to take a math book to query formulas and theorems when participating in the seminar.

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

Zhou Yu'an, who has chosen differential geometry as Depth, is normal to not remember the unpopular number theorem.

Ouye was very familiar with number theory, she remembered Jongren's theorem, but she was not in good health, rested 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 mathematics community for so many years, and he can understand Professor Yan's views.

"This professor surnamed Yan, does he want Shen Qi to be unable to get off the stage?" Sun Erxiong frowned, thinking about countermeasures, and wanted to help Shen Qi break the siege.

However, Sun Erxiong was too worried.

After thinking about it for a while, Shen Qi replied calmly: "First of all, I completely agree with Professor Yan's point of view, and Jongren's theorem is applicable here. In fact, in my first version of the paper, I used Jongren's theorem. ”

"After thinking about it, Shuyi manuscript, combined with the opinions and suggestions of Yanda number theory experts and relevant researchers at Princeton, I finally made up my mind to redefine the Graph Equation in the ninth edition of the manuscript. ”

In this definition, if for a certain k > is equal to 0, u2k+1 is a square number, then u1 is also a square number. This does not contradict Professor Yan's view, and I thank Professor Yan for his insight. Shen Qi's calm statement, not arrogant or impatient, insisted on his own point of view, and at the same time did not deny Professor Yan's opinion.

At this time, a young and middle-aged expert expressed his opinion: "Shen Qi redefines the Tue equation as a precondition, and there is no problem with this. I have read the original text of Shen Qi's Walsh conjecture published on JAMS, and the foreshadowing of redefining the Tue equation seems complicated, but from the overall consideration, sharpening the knife does not mistake the woodcutter, and all the solutions can be given by (u2k+1, v2k+1), which improves the accuracy of the full text and reduces unnecessary repetition of arguments. ”

Shen Qi looked at this young and middle-aged expert, thirty-four or five-year-old, with thick hair, thick eyebrows and big eyes, and his name tag was printed with the words "Professor Su Yiwen of Huake University".

Well, Professor Su is a person who understands, praise one. Shen Qi didn't know Professor Su, but the first impression that Professor Su brought to Shen Qi was very good, a like-minded person, and it was worth getting acquainted.

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

Professor Su and Sun Erxiong had an imperceptible eye contact, Old Sun, you are still so fat, it seems that Yan Da is well treated.

Zhou Yu'an, as an observer and learner, although he didn't understand the arguments of Shen Qi, Professor Yan, and Professor Su, he keenly realized that there must be a historical relationship between Sun Erxiong and Professor Su of Huake University.

Zhou Yu'an's observation is keen and accurate, and Professor Su studied at the School of Mathematics of Yan University from undergraduate to doctoral level, and is currently teaching at China University of Science and Technology.

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

The experts and scholars at the meeting had no objection to this issue, Shen Qi's elaboration + Professor Su's annotation was very perfect, without any flaws, and Shen Qi's redefined Toue equation is a necessary premise to prove Walsh's conjecture and is irreplaceable.

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.

Debates among intellectuals are not shrews scolding the streets, agreeing with or denying the views of others, they must be well-founded and logically clear.

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

In the face of doubts, Shen Qi can completely say, you can do it, you have 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, and he must have the demeanor of a master.

What is Master Manners?

Conquer you with elegance and calmness.

Shen Qi gracefully and calmly continued to give a report, he is a figure who has passed the test of the Princeton math bigwigs, and the number theory textbook for undergraduates in the Princeton Department of Mathematics has been revised because of a proof by Shen Qi.

Shen Qi didn't say anything about this, and it would be boring to say it himself.

Waiting for Princeton's new edition of the number theory textbook to be published, in black and white, everyone will study it by themselves.

"Here I use the effective approximation of algebraic numbers, you are all experts, I will not repeat the lemma proof, and go straight to the main point. Shen Qi explained all the way to the second half of the report, and most of the participating experts nodded frequently and were full of praise.