Mary embarrassedly withdrew a few pages of paper paper and said, "Don't pretend to be confused Jonas, I know your true level." ”

"No, you don't. Jonas smiled.

Mary chattered: "In addition to your level of math, I know ......"

"Shhhh Jonas made a silencing gesture, "Knowing too much won't do you any good, will it?"

"Weirdos. Mary muttered, looking down at today's written report.

At this time, Shen Qi walked into the office with a pile of documents and Professor Mueller talking and laughing.

"Number theory, she is so beautiful, and the prime numbers and indefinite equations in it are the most beautiful and difficult to fathom, but they can't be refused. Professor Müller spoke, his eyes twinkling.

"That's right, reminds me of my girlfriend. "Shen Qi is in a very happy mood today.

"Yan Fu is not shallow!" Muller laughed and patted Shen Qi on the shoulder, "You must let me meet your girlfriend another day." ”

"There's a chance. Shen Qi said, "She is a genius in number theory and is proficient in calculations, and I don't think Professor Mueller would mind taking an extra female disciple." ”

"If she's as good as you, I'll consider it. Mill sat down at the round table and said solemnly: "First of all, let us celebrate the emergence of a new theorem in mathematics, the Walsh conjecture will become Walsh's theorem from today, and the prover of this new theorem is Shen Qi." ”

"Wow!" Jonas applauded and cheered for Shen Qi.

In fact, Jonas already knew about the result last night, and he just wanted to applaud.

As soon as the Mari Chrysanthemum was tight, she deliberately tightened her face, and her face was like frost and she did not smile, but she was actually hiding the tension and uneasiness in her heart.

"So Shen Qi, can you enjoy your work?" asked Müller.

"Of course. Shen Qi handed the printout of "Proof of the Walsh Conjecture of the Diophantine Equation" to Mill, and then looked at Mary with a smile.

Mary's chrysanthemum tightened again, and she pretended to be indifferent to drink coffee, but her heart was full of voyeurism about Shen Qi's paper printout.

This paper is a gift from Shen Qi to Ouye, and after twists and turns and sniping, Shen Qi finally completed his merits on a beautiful night in Princeton.

The former sniper was none other than Mary.

The reason why Shen Qi dared to bring the printed version of Walsh's conjecture proof was because he had uploaded the paper to arVix this morning, and the whole world would know that he was the original author of the paper.

When drinking with Jonas last night, Shen Qi verbally told Jonas the good news.

Just now outside Luther Hall, Shen Qi met Professor Mueller, and also verbally informed, Shen Qi briefly talked about the core idea of the Walsh conjecture proof.

Professor Müller is proficient in the four peerless martial arts of mathematical physics, algebraic geometry, number theory, and group theory, and he is certainly very interested in Shen Qi's number theory paper.

Professor Müller then intently reviewed Shen Qi's official paper to see if Shen Qi had thoroughly proved Walsh's conjecture and whether there were any loopholes.

Shaped like a1x1^b1+a2x2^b2+...... The equation for anxn^bn=c is called the Diophantine equation.

This form of equation, also known as indefinite equations and integer coefficient polynomial equations, was proposed by the Greek mathematician Diophantine in the 3rd century AD and is one of the oldest branches of number theory.

Diophantus is a mysterious figure, and perhaps because of his age, only three of his mathematical works have been preserved.

There are very few records of the life of Diophantus in the history of mathematics, and the most famous is probably the epitaph of Diophantus:

God gave him one-sixth of his childhood, another twelve, beards on his cheeks, and another seventh, to light the candle of marriage. ”

"Five years later, the noble son was given by heaven, and the poor son who was late died only half the age of his father, and went into the cold tomb. ”

After another four years, he also completed the journey of life. ”

I don't know who wrote the epitaph of Diophantus, but it is certain that this friend must have understood mathematics.

The epitaph of Diophantus is a math problem: How old is Diophantus?

"Oh my God, Shen Qi, you used the Gap criterion and the Merlin transform to solve the problem that the quadratic equation is equivalent to determining all the squares in the sequence {u2k+1}. The old man Muller talked about juvenile madness, and the more he read Shen Qi's paper, the more excited he became.

"Thanks to Jonas's wine. Shen Qi helped Jonas refill a cup of coffee and expressed his thoughts: "Alcohol inspires me to do mathematics, of course, I don't advocate alcoholism, just enjoy it." Yes, I enjoy that slightly hazy feeling. ”

"Before I invited you to drink, you completed the proof of the Walsh conjecture, so I don't have any credit at all, but I am still happy and proud of you, my Chinese mathematician, my fellow in the mathematics department. Jonas said modestly.

"You're wrong Jonas, I'm talking about the last time and the last time, before last night you invited me to the Tiger Inn twice before last night and got me drunk, the first time Johnnie Walker and the second time Jack Daniel's. ”

"Do you remember what kind of wine you drank, you weren't drunk at all!"

Jonas and Shen Qi talked and laughed, and Mueller reviewed the paper attentively, praising Shen Qi from time to time.

Mary was the only one hanging alone, and her face was extremely ugly.

The Diophantine equation has such a long history, it is simple but complex, it seems cute and simple, it is just the study of integers.

However, if the seeker does not understand her heart, she will turn you away, cold and arrogant, and ignore your words.

If you master the art of cracking, she will accompany you from the beginning to the end, exclusively for the rest of your life.

Shen Qi looked out the window, at this moment he missed his girlfriend in the East very much, simple and cute, cold on the outside and cute on the inside, waving her little fists from time to time, her angry appearance was the most charming.

Oye, are you okay?

This paper on the Diophantine equation is for you.

To do this, I had to prove a new mathematical theorem and make the Walsh conjecture Walsh's theorem.

Yes, I did.

Even if it takes more than a year, it's worth it.

The main significance of the Diophantine equation is to discuss the integer coefficient polynomial f(x1,x2...... , xn)=0, there are comprehension or integer solutions, and sometimes the number of solutions to a system of equations composed of multiple equations is also discussed.

Many famous Diophantine equations, as well as the study of them, have enriched and advanced mathematics.

The Pythagorean theorem corresponds to a Diophantine equation x^2+y^2=z^2

From the perspective of number theory, the positive integer solution of the Pythagorean equation satisfying gcd(x,y,z)=1 can be given by a parameter family, which is a typical curve with a deficit of 0, which provides a concise and powerful theoretical support for the compilation of modern primary and secondary school mathematics textbooks.

There are theoretically infinitely many Diophantine equations, and the most famous one is probably Fermat's unproven guess that when n≥3, the equation x^n+y^n=z^n does not have an integer solution of xyz≠0.

This conjecture is so difficult that many bigwig-level mathematicians have been exhausted for more than 300 years before Mr. Wiles finally completed the proof, so the "Fermat's Great Conjecture" became "Fermat's Great Theorem".

Wiles's research on this Diophantine equation led directly to the creation of algebraic number theory, which left a strong mark in the history of mathematics.

When Shen Qi won the IMO gold medal in high school, the award was presented by Professor Andrew Wiles.

A few years later, Professor Wiles is still teaching at Oxford.

And Shen Qi came to Princeton, where Professor Wiles once fought, and Luther Hall, where he once worked.

Here, Shen Qi is doing what Wiles did back then, and it seems that he has done it.

……

(Ask for a monthly pass!I'm still working today, and I'll be at least three shifts tomorrow!)