Volume 1: Student Life Chapter 357: Any ideas?
Having made up his mind, Chen Zhou no longer hesitated.
Hesitation is the greatest irresponsibility towards time!
Chen Zhou collected the wrong questions and took out new draft paper and pen.
And the draft paper written previously, filled with formulas and mathematical symbols.
After taking a look at the previous research content, Chen Zhou thought about it roughly.
He then began to study the Djebov conjecture, that is, the total number of prime numbers between m^2 and (m+1)^2, using the distribution deconstruction method.
[From the distribution deconstruction method, we can see that the distribution pattern of the total number of prime numbers between m^2 and (m+1)^2 is sometimes high and sometimes low, but the overall trend is increasing. ]
[That is to say, the distribution of prime numbers is a random distribution phenomenon...]
Out of habit, he 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: deterministic phenomena are inevitable laws, and random phenomena are statistical laws.
The distribution of prime numbers happens to be a random distribution phenomenon.
It obeys the stability of the mean value in the law of large numbers in mathematical statistics.
Its limiting distribution in the central limit theorem is exactly the normal distribution.
Thinking of this, Chen Zhou couldn't help but smile.
The birth of the distribution deconstruction method was inspired by the original Shota distribution.
In mathematical statistics, there is such a conclusion.
If an indicator is not determined by a single factor, but is instead affected by the combined influence of a large number of independent random factors.
Moreover, each of these factors plays a tiny role in the overall impact.
Then, the distribution of this indicator will be a normal distribution.
Chen Zhou had already proved this conclusion when he was studying the distribution deconstruction method.
The proof method used by Chen Zhou is the central limit theorem.
Chen Zhou now feels vaguely strange.
But it is the kind of beauty that can be understood but not expressed in words.
It seemed that he had discovered the subtle connection between Kramer's conjecture and Jeboff's conjecture.
It seems that the entire world of number theory is vague and embodies a kind of connection.
Chen Zhou could feel it, but couldn't grasp it accurately.
Chen Zhou didn't like this feeling.
As a mathematician, he prefers things that can be accurately expressed using mathematical formulas or mathematical symbols.
The beauty of mathematics can be held firmly in your hands.
Retracting 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 using the distribution deconstruction method...]
[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 largest odd prime number less than m+1, and these odd prime numbers are consecutive odd prime numbers, we can get…]
[When m is small (1≤m＜17), the probability changes greatly, that is, the theoretical probability and the actual probability change greatly, so the error is small and the accuracy is high...]
[When m gradually increases (m≥17), the probability change range gradually decreases, that is, the change range of the theoretical probability and the actual probability gradually becomes slower, causing the theoretical value to be always larger than the actual value by a certain proportion, so the error is large and the accuracy is not high...]
Before they knew it, Zhao Qiqi and the other two beside Chen Zhou had gone to bed one after another.
Before going to bed, Zhao Qiqi stretched his head and took a look.
When I saw the densely packed draft paper in front of Chen Zhou.
I suddenly felt a headache. As expected, these courses are at the undergraduate level and the teachers are quite friendly.
Whether it is complex variable functions or functional analysis, they are much more familiar than this thing...
Zhu Mingli and Li Li had the same idea.
But more importantly, they are also determining one thing.
That is, Chen Zhou seems to be about to break through!
In the previous few times when Chen Zhou was studying mathematical conjectures, didn’t he always work hard at critical moments?
The three of them were feeling strange at first, and it seemed that the critical moment had almost arrived after calculating the time.
But I never saw Chen Zhou working so hard on studying the Jebov conjecture.
On the contrary, they silently watched Chen Zhou concentrate on his physics projects, but they didn't know how to comfort him.
At that time, they also suspected that Chen Zhou gave up the competition with the two big guys, Terence Tao and Zhang Yitang, because of the pressure from public opinion.
But now, they are sure.
This kid Chen Zhou must have been holding back on his ultimate move, and he won't use it until the right time.
All the previous physics topics were just a sleight of hand.
He must have already calculated the proof of the Jebov conjecture countless times in his mind.
Otherwise , how is it possible that as soon as this physics project is completed, the research on the Jebov conjecture enters the intense stage?
Chen Zhou didn’t know what the three brothers in the dormitory were thinking. If he knew, he would probably be in a dilemma.
In fact, he is not as awesome as these people think.
But there is one thing that Zhao Qiqi and the other two were right about.
Chen Zhou does have new ideas in his research on the Jebov conjecture.
In the further study of the Gerbov conjecture, Chen Zhou found that when the three major mathematical ideas, namely the overall idea, the reduction idea, and the average idea, are combined with the distribution deconstruction method to solve the problem in the Gerbov conjecture.
There will be a Jebov constant R appearing.
We only need to multiply the theoretical value by the Jebov constant R to find out the average value of the total number of prime numbers that fluctuate between high and low!
This can be said to be a huge breakthrough.
This is also the reason why Chen Zhou chose to work so hard on his research.
Faced with the temptation of Jebov's conjecture, Chen Zhou felt that his energy was simply 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^(－t2/2)dt……】
Chen Zhou's pen follows the work of his brain and his smooth thoughts, without stopping for a moment.
Finally, around three in the morning.
Chen Zhou made this major breakthrough!
After calculating a large amount of data, he finally found the Jebov constant R!
[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 distribution deconstruction method, and it is screened according to the distribution deconstruction method...]
[lim［r1＋r2＋r3＋……＋r（n－1）＋rn］·1/n（n→∞）definitely exists, and its value is recorded as r……]
【……】
【Therefore, the Jebov constant R=0.89111352746……(n→∞)】
Putting down the pen, Chen Zhou stretched.
The amount of calculation required for this thing is really huge.
And, the numbers after the decimal point...
Chen Zhou glanced at the process of solving the Debov constant R and the limit value r. There were dozens of digits after the decimal point of these two values...
But this is actually nothing, what really makes Chen Zhou sigh.
Still that full pile of draft paper.
There are 7 in total!
It's full of dense formulas and mathematical symbols!
There is almost no white space!
After a short break, Chen Zhou organized the draft paper.
Then open the collection of wrong questions and verify the correctness of the Jebov constant R.
If this step is taken correctly, the application of distributed deconstruction method will be perfected.
The research on the Jebov conjecture will also reach a turning point!
After opening the collection of wrong questions, Chen Zhou took a deep breath.
Then I looked at the collection of wrong questions.
