Brother, I can’t move. Sister, please try harder.

Chapter 41 Chen Mo is drawing a talisman

Sunshine Road Primary School,
On the playground, Chen Lin and Liu Yufei were sitting on a chair, drinking milk tea.

Chen Lin had been out of her mind today. Liu Yufei had noticed it a long time ago and finally couldn't help but ask.

"What's wrong with you? You seem to have something on your mind."

"What else could it be? It's not my stupid brother who makes me so angry!"

When she said this, Chen Lin stood up and stomped her feet several times in order to vent her super dissatisfaction.

This was the first time Liu Yufei saw her best friend like this, but her best friend was not as important as Chen Mo's brother.

Therefore, Liu Yufei's first concern was her brother Chen Mo.

"What's wrong with brother Chen Mo?"

Now that Chen Lin was still angry, she couldn't care about anything else but her complaints.

"Yufei, you don't know, my stupid brother, for some reason, suddenly became more powerful. He actually participated in the Mathematical Olympiad and won the first place. Now I have less and less status in the family."

"Ah! Brother Chen Mo participated in the Mathematical Olympiad and won first place?"

An exclamation immediately burst out of Liu Yufei's mouth, and the voice was extremely loud. People around could not help but cast strange looks at her.

Seeing Liu Yufei like this, Chen Lin couldn't help but roll her eyes at her, but still nodded helplessly.

"Right, that is it!"

"Are you angry? That stupid brother."

Hearing Chen Lin call Chen Mo silly brother again, Liu Yufei finally couldn't help it anymore, and her reaction was extremely fierce.

"You are not allowed to call Brother Chen Mo a stupid brother anymore. Besides, Brother Chen Mo has already proven that he is not stupid. How can a stupid person win the first place in the Mathematical Olympiad?"

"Brain powder!"

Chen Lin couldn't help but complain in her heart first, and then said again: "My brother, what's going on with him? He didn't care about it before, why do you think he became so powerful? Already?"

"Brother Chen Mo is so handsome, isn't it normal for him to be awesome?"

"."

Looking at Liu Yufei's stupid look, Chen Lin knew that she had asked the wrong person. It was impossible to get the answer she wanted from Liu Yufei.

Discouraged, Chen Lin felt that life was full of gloom!

Boya Middle School, Class 6, Grade [-].

Zhou Hao, the head teacher and math teacher, was talking loudly. Maybe it was the outstanding performance of Chen Mo and Chen Xi that made him a little distracted.

“Back then, your teacher, that is, me, was only one or two points short of getting admitted to the Mathematics Department of Peking University.

It’s just a pity!Just one or two points difference.

If I had been admitted to the Mathematics Department of Peking University, maybe my achievements today would be more than what I am now.

Maybe I can solve one or two of the seven major mathematical problems in the world."

The world's seven most difficult mathematical problems?

Hearing this, Chen Mo couldn't help but fell into deep thought. With his current mathematical ability, can he make a move in this direction?
Unknowingly, Chen Mo had already made a decision.

Yes, you can’t waste your mathematical abilities!
Where to start?Chen Mo fell into deep thought again.

Just the Riemann Hypothesis, right?

Soon, Chen Mo made a decision again.

The reason why Chen Mo chose this is very simple, because he happened to have a whim and thought about this problem before.

And I already have some ideas.

If that's the case, then why bother looking far away?

Just do what you say, Chen Mo has never been a sloppy person, even if he skipped class to go to the Internet cafe, he just went and did it without any pretense.

Chen Mo took out a large stack of draft paper and wrote down a topic.

[Prove that all non-trivial zero points of the Riemann zeta function are located on the critical line] It’s just that word, which is really not flattering. If you put it in a hospital, it would definitely be at the director level.

Immediately afterwards, Chen Mo began to bite the end of his pen.

After all, it was time for Chen Mo to use his brain.

Chen Mo's mind also started to work at high speed. After half an hour of thinking, his ideas became clear.

Chen Mo also started writing again, this time he wanted to outline the framework of the entire proof process.

[1. The Hash function is symmetric about s=1/2, that is, ζ(s)=ζ(1-s). 】

【2. The Hash function satisfies /ζ(s)=ζ/(s). 】

[3. There are infinitely many non-trivial zero points. 】

[4. The Hash function does not have zero points in the real number domain. 】

【5. Assume ζ(p)= 0, then ζ(1-p)= 0, ζ(/p)= 0, ζ(1-/p)= 0. 】

After the framework was listed, Chen Mo also began to think about how to enrich the content in the framework.

This is the hardest and most important part, and it cannot be accomplished overnight.

Therefore, Chen Mo was not in a hurry, took a sip of water, and then began to think slowly.

The first point is that the Hic function is symmetric about s=1/2, that is, ζ(s)=ζ(1-s). This was already given by Mr. Riemann when he proposed the Riemann Hypothesis in 1859. .

Therefore, Chen Mo did not need to prove this point, and he simply ignored it.

The second point is that the Hash function satisfies /ζ(s)=ζ/(s).

Here we need to use a mathematical method - the analytical development method, which is a mathematical method proposed by the mathematician Mr. Schwartz.

It is a mathematical method that can symmetrically expand the domain of analytic functions.

This analytical development method has another name, which is the Riemann-Schwartz symmetry principle, also known as the Riemann-Schwartz reflection principle.

Chen Mo hopes to use this Riemann-Schwartz symmetry principle to solve the symmetry problem of the Greek function.

With this idea in mind, Chen Mo also began to write and draw.

If D and D* are two regions on the z plane, they are symmetrical about the real axis, D is located in the upper half plane, and their boundaries include a line segment s on the real axis.

{D, f(z)} is an analytic element. If f(z) is continuous on D∪S and takes a real value on S, then there is a function F(z).

Then you need to meet the following three points:
1. Analyze within the area D∪S∪D*;
2. There is F(z)=f(z) in D;
3. There is in D*;
As long as the above three points are satisfied, it can be called a direct analytical development of {D, f(z)} beyond S.

After listing these, Chen Mo's thinking became clearer and clearer, and he began to write and draw again.

He needs to prove this completely, otherwise, he will be easily criticized in the future.

Chen Mo didn't want to come up with something full of loopholes when he expected it. If so, then he might as well not do it.

Unconsciously, Chen Mo was already immersed in it.

Liu Zhou on the side was the first to notice that Chen Mo was like this, and couldn't help but take a sneak peek at what Chen Mo was writing.

However, after just one glance, Liu Zhou began to doubt his life.

what is that?
Is it a ghost character?

Could it be that Chen Mo also works part-time as a Taoist priest?

In Liu Zhou's eyes, what Chen Mo is writing now is no different from those eight pieces of yellow paper worth 10 yuan.

Liu Zhou couldn't help but feel excited.

No, Chen Mo must be brought with him.

How could I miss such a fun thing?

If he doesn't agree, this brother will be in trouble for the rest of his life.

(End of this chapter)