I Just Want to Be a Quiet Top Student

Mary took back a few pages of paper in embarrassment, and said, "Don't pretend to be confused, Jonas, I know your true level."

"No, you don't know." Jonas smiled.

Mary babbled: "Beyond your math skills, I know..."

"Shh." Jonas made a silent gesture, "Knowing too much is not good for you, is it?"

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

At this moment, Shen Qi walked into the office with Professor Muller talking and laughing with a pile of documents between them.

"Number theory, she is so beautiful, and the prime numbers and indeterminate equations are the most beautiful and elusive, yet irresistible stunner." Professor Muller said, his eyes sparkling.

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

"The beauty is not shallow!" Mu Le laughed and patted Shen Qi on the shoulder, "I must meet your girlfriend some other day."

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

"If she is as good as you, I will consider it." Muller sat down at a fixed position on the round table and said solemnly: "First of all, let us celebrate another new theorem in the mathematics world. The Walsh conjecture starts today. It will become Walsh's theorem, and the prover of this new theorem is Shen Qi."

"Wow!" Jonas applauded for Shen Qi.

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

Mary's ass tightened, she purposely put on a sullen face, with a serious smile on her face, which was actually covering up the tension and anxiety in her heart.

"Then Shen Qi, can I appreciate your work?" Mueller asked.

"Of course." Shen Qi handed the typed draft of "Proof of the Diophantine Equation to Walsh's Conjecture" to Mueller, and then glanced at Mary with a smile.

Mary's chrysanthemum tightened again, she drank coffee pretending to be indifferent, but she was full of desire to spy on Shen Qi's typed paper in her heart.

This thesis is a gift from Shen Qi to Ouye. After twists and turns and attacks, on a beautiful night in Princeton, Shen Qi finally achieved success.

The former sniper was Mary.

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

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

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

Professor Muller is proficient in mathematical physics, algebraic geometry, number theory, and group theory. Of course, he is very interested in Shen Qi's paper on number theory.

So Professor Muller focused on reviewing Shen Qi's official paper to see if Shen Qi had thoroughly proved Walsh's conjecture and whether there were any loopholes.

An equation of the form a1x1^b1+a2x2^b2+... anxn^bn=c is called a Diophantine equation.

Equations of this form, also known as indeterminate equations and polynomial equations with integer coefficients, were proposed by the Greek mathematician Diophantus in the 3rd century AD and are one of the oldest branches of number theory.

Diophantus was a mysterious figure. Perhaps because of his age, there are only three books of his mathematics handed down from generation to generation.

There are very few records about Diophantus’ life in the history of mathematics. The most famous one should be Diophantus’s epitaph:

"God gave him one-sixth of his childhood, another one-twelfth, a beard on his cheeks, and another one-seventh, to light the candle of marriage."

"Five years later, God bestowed a precious son, the poor late son, who was only half as old as his father, and entered the cold grave."

"After another four years, he also completed his life's journey."

It is unknown who wrote the epitaph of Diophantus, but it is certain that this friend knew mathematics.

The epitaph of Diophantus is a mathematical question: How old is Diophantus?

"Oh, God, Shen Qi, you used the Gap criterion and the reduction method, so that you very cleverly solved the problem that the quartic equation is equivalent to determining all the square numbers in the sequence {u2k+1}." The old man Muller chatted with the teenager Crazy, the more I read Shen Qi's thesis, the more excited I get.

"It's thanks to Jonas' fine wine." Shen Qi helped Jonas refill a cup of coffee, expressing his affection slightly: "Alcohol makes me have mathematical inspiration, of course, I don't advocate alcoholism, just enjoy it properly. Yes, I Enjoy that slightly hazy feeling."

"Before I bought you a drink, you have completed the proof of Walsh's conjecture, so I don't have any credit for it, but I am still happy and proud of you, my Chinese mathematician, my fellow in the mathematics department." Jonah S said modestly.

"You're wrong Jonas, I said last time and last time, before last night you took me to the Tiger Hotel twice and got me very drunk, the first time was Johnnie Walker, the second time The second was Jack Daniels."

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

Jonas and Shen Qi were chatting and laughing, and Mueller focused on reviewing the paper, and praised Shen Qi from time to time.

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

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

However, this innocent and cute girl, if the seeker doesn't understand her heart, she will keep you away thousands of miles away, and she will ignore your every word with frosty arrogance.

If you master the cracking skills, she will be dedicated to you and accompany you for the rest of your life.

Shen Qi looked out the window. At this moment, he missed his girlfriend far away in the east very much. She was innocent and cute, cold on the outside and cute on the inside. She waved her little fist from time to time. She looked the most charming when she was angry.

Ouye, are you okay?

This treatise on Diophantine equations is for you.

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

yes i did.

Even if it takes more than a year, it is worth it.

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

Many famous Diophantine equations and their research have enriched and promoted the development of 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. It is a typical curve with genus 0, and it is used in modern primary and secondary school mathematics textbooks The writing provides concise and powerful theoretical support.

There are infinitely many Diophantine equations in theory, and the most famous one should be Fermat's unproven guess, that is, when n≥3, the equation x^n+y^n=z^n has no integer xyz≠0 untie.

This conjecture is so difficult that after more than 300 years of hard work by many mathematicians at the mathematician level, Mr. Wiles finally completed the proof, so "Fermat's Big Conjecture" became "Fermat's Last Theorem".

Wiles' research on this Diophantine equation directly led to the generation of algebraic number theory, leaving a strong mark in the history of mathematics.

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

A few years later, Professor Wiles still teaches at Oxford.

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

Here, Shen Qi was doing what Wiles was doing back then, and it seemed that he had accomplished it.

...

(Ask for a monthly ticket! I’m still at work today, and there will be at least three changes tomorrow!)