Scholar’s Advanced Technological System

With this inspiration, the pen couldn't stop, not even hungry.

Lu Zhou, whose whole body had been filled with spiritual food, just felt that he was full of energy. Holding the pen, he began to write a series of calculations on the paper.

[There is a finite group g and gp1a1p2a2 ... piai, where pi is a prime number and ai is a positive integer. Let pπg define degpqπgpq

Call depg the number of times p. Redefine cg

】

Time passed minute by minute, but Wen Siquan's feeling did not stop for a moment.

This feeling is different from last time.

The last inspiration was borrowed, but this time it was born by him.

The nib goes over the paper.

Unconsciously, five draft papers have been written.

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

I thought it wasn't long before, but at a glance, I was shocked.

"It's five o'clock with the grass ?!"

Man is iron and rice is steel. He is too hungry for a meal, not to mention he hasn't had breakfast yet.

In the end, Lu Zhou couldn't hold it anymore. While the cafeteria was not occupied by all the green school uniforms, he hurried to the cafeteria for dinner, and returned to work hard.

It's six thirty.

Coming back from the outside after class, Shi Shang walked in with the boxed luncheon and saw Lu Zhou lying on the table struggling to write a curse, and he cried curiously.

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

Just to the point, Lu Zhou didn't look up, he replied casually.

"write thesis."

At this time, both Huang Guangming and Liu Rui followed the door with a box lunch.

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

That doesn't matter.

After watching it, it was suddenly aggressive.

"Grip grass, elbows, what you write, I can't understand a word."

Hearing Xiaoxi's voice, Shi Shang stopped eating and came over curiously.

"It ’s exaggerated, ridiculous, we are not a junior, we are all juniors, you ca n’t understand the process, the symbols can always understand it, hold the grass, I'm not mistaken. Gang! "

Liu Rui, who is writing professional coursework, turned the pen in his hand and faced the various manipulations of the elbow, he has become more and more calm: "It is not a super class, in the interdisciplinary elective of special courses, Liqun and Lie algebra are nothing to do with us, unless you intend to switch to theoretical physics. "

Science to science, that's too much to think about.

There is nothing to say for interest, not really, everyone is honestly turning to engineering with a lot of money.

"Can't afford it." Huang Guangming shook his head and retreated.

"You must not be able to provoke it, or you will make a big news." You sighed on Xiaojian's shoulder, and Shi Shang retreated with a look of abandonment.

Lu Zhou: "?"

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

For several days in a row, Lu Zhou was soaked in the library during the day, and continued to study after returning to the bedroom at night.

Occasionally, he would take the time to reply to Professor Frank's e-mail. Although there is no new data coming from there, the work of perfecting the theory also requires calculation.

Every day, the boat was quite fulfilling.

Although incomprehensible to others, he enjoyed himself.

In the second week of September, a beautiful morning, Lu Zhou, who was sitting in the library, stretched out and looked at the dozen or so pages of paper in front of him.

"It's finally done!"

When sensitivity is depleted, everything is done to prepare for the moment when inspiration comes. And when he really figured out the solution to this problem, it seemed to be in his eyes to find the exit of the maze.

Everything is natural.

At this moment, Lu Zhou's mood was beyond words.

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 based on this, he developed a new set of mathematical methods.

This discovery made him even more excited than solving the mathematical conjecture itself.

Hilbert once commented that Fermat's Theorem is a chicken that lays golden eggs, not because this hen feeds a large number of mathematicians, nor because this hen provided many journals with the opportunity to water papers. , But because many novel mathematical methods are derived from the study of logarithmic problems.

For example, inspired by Fermat's problem, Cummer introduced the concept of ideal numbers and discovered the only decomposition theorem that decomposes a number in a cyclic domain into an ideal prime factor. This theorem has been popularized today by Didekin and Kroneck In the field of arbitrary algebra, it occupies a central position in modern algebraic theory, and its meaning has far exceeded the scope of number theory and has penetrated into the field of algebraic function theory.

And Lu Zhou's work at the Princeton Academic Conference is the same. He applied topology to supplement the theory of sieve method and cleverly solved the twin prime conjecture.

The original theory of sieve method has been used to the extreme by Mr. Chen, and the number theory community generally believes that to solve the "11" form of Goldbach's conjecture, we must find a new method.

But now, it seems that there are some turning points ~ www.readwn.com ~ The sieve theory still has value worth further digging.

And this point, even Professor Zerbeck, who first introduced topology principles to the theory of sieve method in 1995, was unexpected.

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, he became "group structure research method", referred to as "group structure method."

Use group theory to study the problem of infinity as a whole, and generalize the form "k1" to "k is an infinite natural number", and thoroughly prove that "for all natural numbers k, there are infinitely many prime pairs p, p2k" A proposition.

It may take a sentence or two to describe, but to understand this solution in detail, you may need a few big blackboards.

It took a whole day to organize all the processes on the computer, and then converted to pdf format.

Looking at the finished product on the screen, Lu Zhou finally checked twice and nodded with satisfaction.

"Just write here."

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

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

So far, Polignac's conjecture has been proven.

Although it seems that the twin prime number conjecture is only generalized to the form of the interval of prime pairs infinity, only the prover knows the difficulties.

Lu Zhou thought about it and added a line at the end of the thesis.

[Due to space reasons, I will elaborate on the detailed theory of the "group formation method" in the next paper. 】

Re-format, compress and upload.

Goal, The Yearbook of Mathematics!