Chapter 357: Got an Idea? (Happy Mid-Autumn Festival and National Day, everyone)
The idea was decided, and Chen Zhou no longer hesitated.
To hesitate is to be the most irresponsible for time!
Chen Zhou put the wrong questions together and took out new scratch paper and pens.
and the scratch paper full of formulas and mathematical symbols, as I wrote earlier.
Glancing at the content of the previous research, Chen Zhou thought about it for a while.
He began to study the Jebov conjecture, that is, the total number of prime numbers between m^2 and (m+1)^2.
[According to the distribution deconstruction method, the distribution law of the total number of prime numbers between m^2--(m+1)^2 is high and low, but the overall trend is more and more. 】
[In other words, the distribution of prime numbers is a random distribution phenomenon......]
Habitually took a pen and clicked on the scratch paper, and then Chen Zhou took a pen to circle the random distribution phenomenon.
The reason for this phenomenon is simple.
In nature, there are only two kinds of phenomena, the deterministic phenomenon is the inevitable law, and the random phenomenon is the statistical law.
The distribution of prime numbers happens to be a random distribution phenomenon.
It obeys the stability of the mean in the big number theorem in mathematical statistics.
Its limit distribution in the central limit theorem is the positive and acanthus distribution.
Thinking of this, the corners of Chen Zhou's mouth couldn't help but show a smile.
The birth of the distribution deconstruction method is still inspired by the original Zhengtai distribution.
In mathematical statistics, there is such a conclusion.
If an indicator is not determined by a single factor, but by the combined influence of a large number of independent random factors.
Moreover, each of these factors, in the overall impact, plays a small role.
Then, the distribution of this indicator will be positive-Tai distributed.
This conclusion was proved by Chen Zhou when he was studying the method of distributed deconstruction.
The proof method used by Chen Zhou is also the central limit theorem.
Chen Zhou's feeling now is faintly wonderful.
But it's the kind of beauty that can be understood and indescribable.
It was as if the subtle connection between the Kramel conjecture and the Jebov conjecture had been discovered by him.
It is also as if the whole world of number theory is like nothing, reflecting a kind of connection.
Chen Zhou could feel it, but he couldn't grasp it accurately.
Chen Zhou didn't like this feeling.
A mathematician, for his part, prefers something that can be accurately expressed in mathematical formulas, or mathematical symbols.
That kind of mathematical beauty can be firmly held in the hand.
Retracting his thoughts, Chen Zhou continued to write on scratch paper:
[In view of the above positive Pacific distribution phenomenon, the distribution deconstruction method can be analyzed and studied in detail......
[From Pm=2/3×4/5×6/7×10/11×12/13×16/17×18/19×......×2n/(2n+1)>0, where 2n+1 is the maximum odd prime less than m+1, and these odd primes are continuous odd primes, and ...... can be obtained]
[When m is small (1≤m<17), the probability change range is large, that is, the theoretical probability and the actual probability range change is large, so the error is small and the accuracy is high......]
[When m gradually increases (m≥17), the probability change amplitude gradually decreases, that is, the theoretical probability and the actual probability change amplitude gradually becomes slow, resulting in the theoretical value is always a certain proportion larger than the actual value, so the error is large and the accuracy is not high......
Unconsciously, Zhao Qiqi and the three people beside Chen Zhou had already gone to bed in turn.
Before going to bed, Zhao Qiqi also stretched out his head to take a look.
When I saw the dense and full of scratch paper in front of Chen Zhou.
Suddenly, I only felt that my head was big for a while, and sure enough, it was still an undergraduate course, which was more amiable.
Whether it's a complex function or a functional analysis, it's much more intimate than this thing......
Zhu Mingli and Li Li also have the same idea.
But more than that, they're also sure of one thing.
That is, Chen Zhou seems to be about to break through!
In the previous few times, when Chen Zhou studied mathematical conjectures, didn't he burst his liver at critical moments?
Originally, the three of them were still strange, and they felt that the time was almost at a critical moment.
But I didn't see Chen Zhou's liver explosion to study the Jebov conjecture.
On the contrary, they silently watched Chen Zhou concentrate on physics topics, but they didn't know how to persuade them.
At that time, they also doubted whether Chen Zhou was because of the pressure of public opinion from the outside world, which caused him to give up the competition with Tao Zhexuan and Zhang Yitang.
But now, they are convinced.
Chen Zhou, this kid must have been holding back his big moves, the kind that doesn't let go until time.
The previous physics topics were all blind spots.
He must have calculated in his head countless times the proof of the Jebov conjecture.
How could it be that as soon as this physics topic is over, the research of Jepov's conjecture will enter the stage of liver explosion?
Chen Zhou didn't know what the three brothers in the dormitory thought, and if he knew, he would probably have to cry and laugh.
Actually, he's really not as bullish as these people think.
But there is one thing, Zhao Qiqi and the three of them are right.
Regarding the study of the Jebov conjecture, Chen Zhou did have a new idea.
In the study of the Jebov conjecture, Chen Zhou found that when the three mathematical ideas of wholeness, depreciation, and average value are combined with the distribution deconstruction method to solve the problems in the Jebov conjecture.
There will be a Jebov constant R.
You only need to multiply the theoretical value by this Jebov constant R, and you can find the average of the total number of primes that fluctuate high and low!
This can be said to be a great breakthrough.
This is also the reason why Chen Zhou chose to explode the liver for research.
Faced with the temptation of Jebov's conjecture, Chen Zhou felt that his energy was simply not 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 follows the operation of his brain and his smooth thoughts, and he does not stop for a moment.
Finally, around three o'clock in the morning.
Chen Zhou has completed this big breakthrough!
This Jebov constant R, after a lot of data calculations, was calculated by him!
【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......】
[Here r is the limit value obtained by the distributed deconstruction method, and the screening is carried out according to the distributed destructuring method......]
[lim[r1+r2+r3+......+r(n-1)+rn]·1/n(n→∞) is a definite existence, and its value is denoted as r......]
【......】
[Therefore, Jebov's constant R=0.89111352746...... (n→∞)】
Putting down the pen, Chen Zhou stretched.
The amount of calculation required for this thing is really not ordinary.
Moreover, the number after the decimal point ......
Chen Zhou glanced at Jepov's constant R and the process of solving the limit value r, which has dozens of decimal places......
But this is actually nothing, what really makes Chen Zhou emotional.
It's still full of scratch paper.
There are 7 of them!
It's full of dense formulas and mathematical symbols!
There's hardly a little white space to see!
After a short rest, Chen Zhou sorted out the scratch paper.
Then open the wrong problem set and verify the correctness of Jepov's constant R.
If this step is done correctly, the application of the distribution deconstruction method will be perfected.
The study of the Jebov conjecture will also reach an inflection point!
After opening the set of wrong questions, Chen Zhou took a deep breath.
I looked at the set of mistakes.