Chapter 743： About the integer of x^three + y^three + z^three = thirty-three...

Latest website: As a professor in the Department of Mathematics, Professor Edward hates participating in various mathematical conferences and forums. He prefers to study mathematics at home.

But I didn't expect to meet this math genius Lu in Boston this time!

Oh god, he really had a hard time believing that Lu wasn't a math major? !

Go to Te Niang's electrical engineering, this is a major that only girls can learn, and real men should come to learn mathematics.

Of course, it is fortunate that Lu will come to Princeton University for a Ph.D.

Even if the other party will return to China in the future, so what?

At least Lu studied at Princeton University for a while, leaving some traces.

Besides, Lu's knowledge belongs to the whole world.

This is enough.

Today is the third day after he left Boston. Unexpectedly, Lu has already solved the first set of integer solutions for [x3+y3+z3=33]!

"Lu, please wait a moment."

Professor Edward picked up the pen and paper excitedly, and as the voice on the phone rang, the pen slid quickly on the scratch paper.

x=8, 866, 128, 975, 287, 528;

y=-8, 778, 405, 442, 862, 239,

z=-2, 736, 111, 468, 807, 040.

which is,

33=88661289752875283+(-8778405442862239)3+(-2736111468807040)3.

Putting down the pen, Professor Edward already understood.

From this moment on, the [x3+y3+z3=33] problem that has stumped the mathematics community for decades is officially broken!

And the solution to this problem is not a famous mathematician in the United States, Russia, or France, but an undergraduate student from China!

There was a strange light in his eyes.

Professor Edward could almost predict what the headlines would be in a few days, and it would be quite shocking.

As if thinking of something, Professor Edward reminded: "Lu, you quickly organize the proof process, including the detailed problem-solving steps and algorithms, into a paper, and then send it to arXiv, and then submit it to "AnnalsofMathematics" (Annuals of Mathematics) ), I will help you to remind you when the time comes, it shouldn't take too long."

Although Lu Zhou is not a mathematics major, he is not unfamiliar with the four major mathematics journals.

He hesitated for a moment and asked, "Professor Edward, the paper won't take long, but... can it really be published in AnnalsofMathematics?"

Professor Edward chuckled and said easily: "Lu, choosing Princeton University is definitely one of the most correct decisions in your life. "AnnalsofMathematics" is sponsored by Princeton University and Princeton Institute for Advanced Study, and I am also an editorial board member of this journal ."

"AnnalsofMathematics" (Annual Mathematics) was founded in 1874. It is the oldest journal among the four major mathematics journals. It is now jointly published by Princeton University and the Princeton Institute for Advanced Study. It is published every two months. There are only more than 30 papers, and the gold content is evident.

"What is arXiv?" Lu Zhou touched his nose and asked embarrassedly.

After all, he has only been in mathematics for a few months. It would be good to know what the four major mathematics journals are. As for hearing about arXiv, he was completely confused.

Professor Edward patted his head and even forgot that Lu Zhou was only an undergraduate majoring in electrical engineering, so he had to explain:

"In order to prevent our idea from being plagiarized by others before the paper is included, we will upload the draft to arXiv as a pre-inclusion, and arXiv is a document inclusion site that can prove the originality of the paper (upload timestamp)."

Papers pay attention to timeliness. For example, you think of an idea, then do a simulation and write a paper. However, considering the issue of submission, some conferences or journals have time-limited "callforpaper", for example, it may take a few more months to receive papers.

On the one hand, in order to prove the originality of your paper, you can put the paper on the arXiv website and hang it; on the other hand, it is also for competition. Whoever has the paper listed early on arXiv has the right to the paper.

To put it simply, arXiv is "a website that occupies a hole".

arXiv was originally a website established by physicist Paul Ginsburg in 1991 to collect preprints of papers on physics, followed by astronomy, mathematics and other fields.

Ginsburg won the 2002 MacArthur Award for this site.

arXiv was originally hosted at Los Alamos National Laboratory and was earlier known as the "LANL Preprint Database." The current arXiv is based at Cornell University and has mirror sites around the world.

Nowadays, many mathematicians and scientists are used to uploading their papers to professional academic journals first.

One of the most famous mathematicians is Grigory Perelman. Professor Perelman's proof of Poincaré's conjecture was first posted on arXiv.

Professor Edward asked Lu Zhou to post it on arXiv first, because he was afraid that others would preemptively prove it.

But not all papers can be published on arXiv first, they must be unpublished, and the paper must be endorsed by a person in the relevant field.

"Oh right, I almost forgot that you don't even have an arXiv account, so let me verify it for you later."

"Professor Edward, thank you very much!" Lu Zhou gratefully said.

Professor Edward was playful and joked: "If you really want to thank me, please solve a few more mathematical problems! For example, Goldbach's conjecture, Riemann's conjecture, Hodge's conjecture..."

"Professor Edward, I will!" Lu Zhou said seriously.

"Walter?" Professor Edward shouted subconsciously with a black line on his head.

Doesn't this little guy know what these conjectures mean?

For example, Goldbach's conjecture, referred to as "Godbach", is one of the three major mathematical problems in the modern world.

In 1742, Goldbach's letter to Euler put forward the following conjecture: any integer greater than 2 can be written as the sum of three prime numbers.

But Goldbach couldn't prove it himself, so he wrote to ask Euler, a famous mathematician, to help prove it, but Euler couldn't prove it until his death.

A common statement of the conjecture today is Euler's version that any even number greater than 2 can be written as the sum of two prime numbers, also known as "Strong Goldbach's Conjecture" or "Goldbach's Conjecture on Even Numbers".

Minke likes to swarm into the mathematics world most, especially Gechai, the mathematical crown.

Once Gechai is proven, as long as the prover is under 40 years old, he will definitely win the Fields Medal, and it will go down in history!

"Professor Edward, what did you just say?"

"Cough, it's okay."

Professor Edward really wanted to tell Brother Lu Zhou how difficult it was to guess, but he was afraid of hurting the other party's confidence, so he had to prevaricate it.

After talking with Professor Edward, Lu Zhou called the principal again. After briefly explaining the matter, the principal made a very strange request.

"By the way, talk to me after you upload it to arXiv."

"Oh, good." Although he didn't know why, Lu Zhou agreed without hesitation, and then began to concentrate on writing his thesis.

the other side.

Guanghua University.

Chen Hao put down the phone with a faint smile on his face.

"Since it has been proven, then I have to add more fire."

The next moment, Chen Hao called Deng Hui in and ordered some things to Deng Hui.

...

Just a few days before entering August.

A not-so-long but shocking article appeared on the famous academic website arXiv.

[Proof of the integer solution of x^3+y^3+z^3=33 - ZhouLu]

It was like a pebble fell into the calm pool of water, causing an uproar.

The whole mathematics community, because of an undergraduate student, is lively again!

ps: Kevin has a headache. I'll have two more updates tomorrow, sorry.