Chapter 193 Goal, Mathematical Annual!

As soon as this inspiration came, I couldn't stop writing, and I didn't even feel hungry.

Lu Zhou, who was already full of spiritual food, felt motivated all over. Holding the pen, he began to write down lines of calculations on the paper.

[There is a finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|

Call deg(p) the degree of vertex p. Redefine C(G)=...

...

】

Time passed by every minute and every second, but Wen Siquan's feeling didn't stop for a moment.

This feeling is different from last time.

Last time the inspiration was borrowed, but this time the inspiration was conceived by himself.

The nib runs across the paper.

Before I knew it, five draft papers had been filled.

After sorting out the steps and thoughts, Lu Zhou rubbed his stomach, leaned on the chair, and took out his mobile phone.

I thought it hadn't been long, but I was shocked when I saw the time.

"Hold the grass, it's already five o'clock?!"

People are like iron, and rice is like steel. If you don't eat a meal, you will be hungry, not to mention that he hasn't had breakfast yet.

In the end, Lu Zhou couldn't hold on any longer. Before the cafeteria was occupied by all the juniors in green military uniforms, he hurried to the cafeteria to have dinner, and then returned to work hard.

It was half past six.

After returning from class outside, Shi Shang opened the door with a lunch box and walked in. Seeing Lu Zhou who was lying on the table writing, he yelled curiously.

"Elbow, what are you doing? Graduate students still have homework?"

At the critical point, Lu Zhou replied casually without looking up.

"write thesis."

At this time, Huang Guangming and Liu Rui also walked in with their lunch boxes.

Throwing the schoolbag on the table, Liu Rui took out his professional homework, while Huang Guangming walked behind Lu Zhou curiously, and glanced at the paper.

It doesn't matter.

After reading it, I was immediately stunned.

"Hold the grass, elbow, I can't understand a single word of what you wrote."

Hearing Xiaojian's voice, Shi Shang stopped eating and walked over curiously.

"It's an exaggeration, little bitch, we are not freshmen now, we are all juniors, you can't understand the process, you can always understand the symbols... Grass, I'm not mistaken, this thing is group theory It's... beyond the outline!"

Liu Rui, who was writing a homework for a professional course, turned the pen in his hand, facing the various tricks of the elbow, he has become more and more calm: "It's not super-class, in the interdisciplinary elective of special elective courses, there are Lie group Lie algebra... but it has nothing to do with our calculations, unless you plan to switch to theoretical physics."

Switching from science to science, that would be too hard to think about.

For the sake of interest, there is nothing to say. If you are not really interested, everyone will honestly transfer to engineering, which has a lot of money.

"I can't afford to provoke you." Huang Guangming shook his head and retreated.

"You must not be offended, or you will be the one who makes big news." Patting Xiaojian on the shoulder and sighing, Shi Shang also retreated with an expression of giving up the treatment.

Lu Zhou: "...?"

...

Rome was not built in a day. A complete set of theories requires not only the burst of inspiration, but also the accumulation of time.

For several consecutive days, Lu Zhou spent almost all his time in the library during the day, and continued to study after returning to the dormitory at night.

Occasionally, he still takes time to reply to Professor Frank's emails. Although there is no new data from CERN, the work of perfecting the theory also requires calculations.

Every day, Lu Zhou lived a fulfilling life.

Although it seems incomprehensible to others, he himself enjoys it.

On a sunny morning in the second week of September, Lu Zhou stretched his waist while sitting in the library. Looking at the more than ten pages of paper in front of him, he sighed with emotion.

"Finally it's done!"

When the sensitivity is exhausted, all the work is to pave the way for the moment when the inspiration comes. And when he really figured out the solution to this problem, finding the exit of the maze seemed to be right in front of his eyes.

Everything is a matter of course.

At this moment, Lu Zhou was in an indescribably happy mood.

Not only because he solved another mathematical problem, but also because he had a deeper understanding of group theory when solving this mathematical problem, and developed a new set of mathematical methods on this basis.

And this discovery excited him even more than solving the mathematical conjecture itself.

Hilbert once commented that Fermat's last theorem is a chicken that can lay golden eggs, not because this hen has raised a large number of mathematicians, nor is it because this hen has provided many journals with opportunities to publish papers , but because many novel mathematical methods are obtained in the study of number theory problems.

For example, inspired by Fermat's problem, Cuomo introduced the concept of ideal numbers and discovered the unique decomposition theorem that decomposes a number in a cyclic domain into ideal prime factors. This theorem has been popularized by Didekin and Kronek today. To any algebraic field, it occupies a central position in modern number theory, and its significance has gone far beyond the scope of number theory and has penetrated into the field of algebraic function theory.

The same is true for Lu Zhou's work at the Princeton Academic Conference. The application of topology supplemented the sieve theory, and solved the twin prime conjecture skillfully.

The original sieve theory has been used to the extreme by Mr. Chen, and the number theory community generally believes that in order to solve the "1+1" form of Goldbach's conjecture, a new method must be found.

But now it seems that there have been some turning points, and the sieve theory still has value worthy of further digging.

And this point, even Professor Zelbeck, who first introduced the principle of topology into the sieve theory in 1995, did not expect it.

This is the value of number theory.

When Lu Zhou solved the Polignac conjecture, he also completed this work and found a unique solution path for this conjecture.

This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.

Use the method of group theory to study the problem of infinity as a whole, and extend the form of "K=1" to "k is an infinite natural number", and thoroughly prove that "for all natural numbers k, there are infinitely many pairs of prime numbers (p, p+2k)" is the proposition.

It may be a sentence or two to describe, but to explain this solution in detail, you may need several large blackboards.

It took a whole day to sort out all the processes on the computer and convert them into pdf format.

Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.

"Just write it here."

Regarding the detailed theory of the group structure method, in fact, there are still many things to write, and even to summarize them all, which is longer than the proof process itself.

But that part is no longer the focus of this paper.

So far, the Polignac conjecture has been proved.

Although it seems that it is just an extension of the twin prime number conjecture to the form where the distance between prime number pairs is infinite, the difficulty in it is only known to him, the prover.

Lu Zhou thought for a while, and added a line at the end of the paper.

[...Due to space limitations, I will explain the detailed theory of the "group structure method" in the next paper. 】

Re-transform, compress and upload.

Goal, Annals of Mathematics!