Xueba starts with change

Chapter 357 Have an idea? (Happy Mid-Autumn Festival and National Day everyone)

Now that the idea has been decided, Chen Zhou no longer hesitates.

Hesitation is the greatest irresponsibility of time!
Chen Zhou collected the wrong questions and took out a new draft paper and pen.

And the scratch paper full of formulas and mathematical symbols that I wrote before.

After glancing at the previous research content, Chen Zhou thought about it for a while.

So I started with the distribution deconstruction method to study Jebov's conjecture, that is, the total number of prime numbers between m^2—(m+1)^2.

[From the distribution deconstruction method, we can see that the distribution law of the total number of prime numbers between m^2 - (m+1)^2 fluctuates from high to low, but the overall trend is more and more. 】

【In other words, the distribution of prime numbers is a random distribution phenomenon...】

Habitually tapped the draft paper with a pen, and then Chen Zhou circled the random distribution phenomenon with a pen.

The reason for this phenomenon is simple.

In nature, there are only two kinds of phenomena, the deterministic phenomenon is an inevitable law, and the random phenomenon is a statistical law.

The distribution of prime numbers happens to be a random distribution phenomenon.

It obeys the stability of the mean in the theorem of large numbers in mathematical statistics.

Its limit distribution in the central limit theorem is exactly the normal distribution.

Thinking of this, Chen Zhou couldn't help showing a smile.

The birth of the distribution deconstruction method was inspired by the original normal distribution.

In mathematical statistics, there is such a conclusion.

If an indicator is not determined by a certain factor, but is caused by the comprehensive influence of a large number of independent random factors.

Moreover, each of these factors plays a small role in the total impact.

Then, the indicator distribution will be in a normal distribution.

This conclusion was proved by Chen Zhou when he studied the distribution deconstruction method.

The proof method used by Chen Zhou is also the central limit theorem.

Chen Zhou's current feeling is a little strange.

But it is the kind of beauty that can be expected and cannot be expressed in words.

It seems that the subtle connection between Kramer's conjecture and Jebov's conjecture was discovered by him.

It also seems that the whole world of number theory is vague, reflecting a kind of connection.

Chen Zhou could feel it, but couldn't grasp it accurately.

Chen Zhou didn't like this feeling.

As far as a mathematician is concerned, he prefers things that can be accurately expressed in mathematical formulas or mathematical symbols.

The beauty of mathematics can be firmly held in the hand.

Withdrawing his thoughts, Chen Zhou continued to write on the draft paper:

[In view of the above normal distribution phenomenon, detailed analysis and research can be carried out by the distribution deconstruction method...]

【由Pm=2/3×4/5×6/7×10/11×12/13×16/17×18/19×……×2n/(2n+1)＞0，其中2n+1为小于m+1的最大奇素数，且这些奇素数是连续的奇素数，可以得到……】

[When m is small (1≤m<17), the probability varies greatly, that is, the theoretical probability and the actual probability vary greatly, so the error is small and the accuracy is high...]

[When m gradually increases (m≥17), the range of probability changes gradually decreases, that is, the range of change between the theoretical probability and the actual probability gradually becomes slow, resulting in a certain ratio of the theoretical value greater than the actual value, so the error is large, The accuracy is not high...]

Before he knew it, the three of Zhao Qiqi beside Chen Zhou had already gone to bed one by one.

Before going to bed, Zhao Qiqi stretched out her head to take a look.

When he saw the densely packed draft paper in front of Chen Zhou.

Immediately, I just felt dizzy for a while, but it was really an undergraduate course, which was more amiable.

Whether it is a complex variable function or a functional analysis, it is much more intimate than this thing...

Zhu Mingli and Li Li also had the same idea.

But more, they are also confirming one thing.

That is, Chen Zhou seems to be breaking through!

In the past few times, when Chen Zhou was researching mathematical conjectures, didn't he explode at critical moments?
Originally, the three of them were still surprised, but they felt that after counting the time, it was almost the critical moment.

But I didn't see Chen Zhou furiously studying Jebov's conjecture.

On the contrary, they silently watched Chen Zhou devote himself to the physics project, but they didn't know how to comfort him.

At that time, they also suspected Chen Zhou, whether it was because of the pressure of public opinion from the outside world that he gave up the match with Tao Zhexuan and Zhang Yitang.

But now, they are sure.

This kid Chen Zhou must have been holding back his big moves, the kind that won't let go until the time is up.

The previous physics subjects were all blindfolds.

He must have calculated the proof of Jebov's conjecture countless times in his mind.

How could it be possible that as soon as this physics project is over, the research on Jebov's conjecture will enter the liver-explosive stage?

Chen Zhou didn't know what the three brothers in the dormitory were thinking. If he knew, he would probably be dumbfounded.

In fact, he is not as awesome as these people think.

But there is one thing, the three of Zhao Qiqi are right.

Regarding the research on Jebov's conjecture, Chen Zhou did have a new idea.

In the study of Jebov's conjecture, Chen Zhou found that when the three major mathematical ideas of overall thought, depreciation thought, and average value thought are combined with the distribution deconstruction method to solve the problems in Jebov's conjecture.

There will be a Jebov constant R appears.

You only need to multiply the theoretical value by the Jebov constant R, and you can find the average of the total number of prime numbers that fluctuate!
This can be said to be a great breakthrough.

This is also the reason why Chen Zhou chose to study Liver Explosion.

Faced with the temptation of Jebov's conjecture, Chen Zhou felt that his energy should not be too abundant.

[The distribution function Pn(x) has, limn→∞Pn(x)=limn→∞P{(k=1→n∑Xk-nμ)/o√n≤x}=∫-∞→x(1/√ 2π)e^(-t/2)dt...]

Chen Zhou's pen followed the operation of the brain, following the smooth flow of thought, without stopping for a moment.

Finally, around three in the morning.

Chen Zhou made this big breakthrough!

This Jebov constant R was obtained by him after calculating a large amount of data!

【R=lim[R1+R2+R3+……+R(n-1)+Rn]·1/n=lim[(1-r1)+(1-r2)+(1-r3)+……+(1-r(n-1))+(1-rn)]·1/n=1-r……】

[The r here is the limit value obtained according to the distribution deconstruction method, and it has been screened according to the distribution deconstruction method...]

【lim[r1+r2+r3+……+r(n-1)+rn]·1/n(n→∞)是一定存在的，其值便记作r……】

【…】

【Therefore, Jebov constant R=0.89111352746...(n→∞)】

Putting down the pen, Chen Zhou stretched.

The calculation amount of this thing is really not ordinary.

Also, the numbers after the decimal point...

Chen Zhou glanced at the Jebov constant R and the solution process of the limit value r. There are tens of digits behind the decimal point of these two values...

But this is actually nothing, what really made Chen Zhou feel emotional.

It's still full of draft paper.

There are 7 of them!
It is full of dense formulas and mathematical symbols!

There is almost no room for white space!

After a short rest, Chen Zhou tidied up the draft paper.

Then turn over the set of wrong questions to verify the correctness of Jebov's constant R.

If this step is done right, the application of the distribution deconstruction method will be perfected.

The research on Jebov's conjecture will also reach an inflection point!
After opening the set of wrong questions, Chen Zhou took a deep breath.

Just look at the wrong question set.

　I wish you all a happy Mid-Autumn Festival and National Day!

　　Yibai is having a wedding in his hometown. I'm sorry, there will be an update tonight, so I'll make it up later!
　　Once again, I wish everyone a happy holiday and eat some mooncakes~
　　
　
(End of this chapter)