Scholar’s Advanced Technological System

A cup of coffee is enough for many things to happen.

Just when Lu Zhou was lying back on the bed and consciously entered the system space, the University of Montreal, Canada, thousands of kilometers away from Princeton, the British mathematician Andrew Granville was browsing the arxiv website.

This is one of the things he must do every day, sometimes after the morning run, sometimes before bed.

Although most professors like to toss the latest research progress of their peers on arxiv to the laboratory's doctoral or master's students, Granville likes to do it himself.

Although the quality of the papers on arxiv that have not been peer-reviewed varies, many newcomers have come up with some very creative ideas, but they are very enlightening but just incomplete.

After roughly looking at about ten papers, Granville yawned and was about to get up and go to sleep.

However, at this moment, his personal page suddenly received an alert from a website, and it happened to come from the two tags he paid attention to-analytical number theory and prime number issues.

Granville frowned, and obsessive-compulsive disorder prompted him to turn on the reminder.

However, after seeing the title of the article, the corner of his mouth could not help but skim.

Any even number greater than 2 can be expressed as the sum of two prime numbers

Isn't this Euler's statement as Goldbach conjectures?

Generally, such papers are thrown into the "General Math" section, which has long been blocked by him.

Granville doesn't know why the paper triggered the reminder, but I think it may be that there is a bug in the website or the staff is negligent.

He shook his head, and when he was going to close the laptop to sleep, he suddenly noticed the contributor's name.

then

He froze.

luzhou?

Winner of last year ’s Cole Number Theory Award?

Weekly guess, twin prime conjecture, prover of Polignac conjecture?

The meaning of this paper is that this year he proved Goldbach's conjecture again?

wtf? !!

Granville was instantly aggressive and sober!

The original sleepiness was swept away, but instead of moving, he sat in a chair for half a minute.

Then he glanced at the calendar and confirmed that it was May, not April 1.

There are more than fifty pages in the paper, but compared to the amount of information contained in the title, this is nothing.

"It solves Goldbach's guess that this is impossible."

With a whisper in his mouth, Granville opened the dissertation and followed the abstract of the dissertation, looking down line by line.

Then, he read the paper for a night

On the other side, Paris Normal University, just across the Atlantic, is giving a lecture on weak Goldbach conjecture proof.

The speaker, of course, is the prover of this conjecture, Harold Helfgot.

"The end of the circle method is in weak Goldbach conjecture that we can prove that any odd number greater than 7 can be expressed as the sum of three odd prime numbers, but it is difficult to generalize it to even numbers."

"Of course, my proof is far from perfect, and there is still much room for improvement. But if everyone here is interested in studying this issue in depth, I suggest you change your mind and reconsider this issue."

The lecture came to an end.

Next comes the questioning session.

Not only are professors and researchers at Paris Normal University sitting here, but also students.

After waiting a long time, a young man stood up to speak.

"Professor Helfgot, how long do you think it will take to resolve Goldbach's conjecture?"

Helfgot thought and replied: "It depends on whether our tools to solve the problem are available or unprecedented. In fact, if it can, I even hope it will never be solved. See what we have got What is it? We have improved the ancient sieve method, created the circle method and the density method, etc. It is not my greed, but maybe we can gain more treasures by passing this proposition. "

The lecture is over.

Applause rang from the audience, and Professor Helfgot was sent out of the lecture hall.

Without stopping here, he carried his briefcase and walked towards the office.

He opened the door and walked to his place, but before he sat down to drink saliva, his students walked towards him in amazement.

"Professor! I saw a paper on Goldbach's conjecture on arxiv!"

Helfgot put the briefcase on the table, and his expression did not change. He said in an unhurried voice, "Amos, I have told you many times. The articles on arxiv must be selective. Look. There is only one, and probably only one, of Perelman. You should look at the classic publications I have written for you, not the dross that have not been peer-reviewed. "

Mathematics is different from computer. For the computer industry, an idea that is two months behind may mean a century. Therefore, many people like to use arxiv frequently after taking the pit first and then adding it.

Mathematics, to be honest with only one idea, is of little significance.

Amos had a helpless expression. He knew his boss didn't like arxiv, but he tried to explain: "Professor, the author of this article is the winner of last year's Cole Number Theory Award! It is impossible that the thesis he wrote is also a dross. "

Helfgot stunned slightly, looking very surprised.

It is not because of the name of the Cole Number Theory Award, which is already a cloud for people like him. But last year's Cole Award winner, he knew who it was. Because at that academic exchange conference in Berkeley, California, the young man from China impressed him well.

just

Such a big conjecture proves why still on arxiv?

The look was slightly rectified, and Helfgot felt that he should treat this thesis with caution ~ www.wuxiaspot.com ~ cannot miss such a major result because of his prejudice against arxiv.

He took his glasses out of his pocket and saw that he immediately said, "Print the paper for me."

"Okay, professor!"

Amos returned energetically to the computer and turned on the printer.

With a buzzing sound, the 50 pages of a4 paper that were still hot were delivered to Helfgot's hands.

Professor Helfgot pushed his glasses, pulled a pen out of the pen holder, and examined the contents of the dissertation line by line.

Time passes by every minute.

Amos waited for a long time and did not wait for the response he expected.

Finally, he was anxiously waiting, and couldn't help but whisper.

"Professor, is he right?"

"I'm not sure," Professor Helfgot shook his head, lowered the pen in his hand, and said carefully, "but I didn't find the obvious problem."

The proof of such a major conjecture is also impossible to draw conclusions in a short time. Not only does it take time, but also colleagues in this direction need time.

Leaning on the chair, Professor Helfgot closed his eyes and pondered for a while.

After about five minutes, he finally opened his eyes, as if talking to his student Amos, and as if talking to himself.

"He used a completely new method. I can see the shadow of the sieve method above, and I can also see the traces of the closed orbit integral and the remainder theorem that clearly belong to the circle method. In his own theoretical framework, he introduced the concept of group theory. I have seen similar thoughts in Professor Zellberg's dissertation, but they are not so pure. As for whether he proved that, I dare not make a conclusion. I Need to ask other people's opinions "