Xueba starts with change

Chapter 352 The idea of ​​Jeboff's conjecture
This phenomenon of rushing to publish papers made Chen Zhou always feel a little impetuous.

While understandable, he never endorsed it.

Because in his view, unless there are really meaningful research results, other papers are just waste paper.

Before the Jebov conjecture, or the twin prime conjecture, is not proven, it may still get some minor attention.

Once these two conjectures are solved, these papers will not get the slightest attention.

Instead of this, it is better to study it with great concentration.

Maybe, in the process of research, there will be unexpected gains?
Just like Mr. Zhou, a famous mathematician in Huaguo, although he failed to solve the problem of Mersenne prime numbers.

However, based on the known extreme arrangement of Mersenne prime numbers, he cleverly used the connection observation method and incomplete induction method to formally put forward an important conjecture about the distribution of Mersenne prime numbers, which is Zhou's conjecture.

This kind of breakthrough mathematical conjecture proposed in the study of a certain problem is also a great necessity for the development of mathematics.

Chen Zhou felt that these were more realistic than Shui's papers.

Moreover, deciphering mathematical conjectures is the most difficult and deepest exploration of the wisest mind.

To explore is to go beyond certainty, to seek areas and facts that people do not yet know.

The weapons and tools of exploration are thinking innovation, method innovation, and theoretical innovation.

This kind of innovation needs to change the old ways of thinking and methods, and break through the inherent theoretical viewpoints.

This is the correct posture for studying mathematical conjectures, instead of rushing to publish papers because you are afraid that your research will become waste paper.

Because this kind of thinking process is sometimes more important than the guess itself.

Just like Zhang Yitang, who endured loneliness, he finally ushered in the moment of blooming and became a "sweeping monk" in the mathematics world.

However, no matter how the outside world changes, the impact on Chen Zhou is automatically ignored by him.

For him, doing his own thing well is the most important thing.

After selecting a few interesting papers to download, Chen Zhou closed the e-Print arXiv website and began to look up these papers.

It didn't take long for Chen Zhou to finish reading these papers.

Originally, he also hoped that he could find some fresh viewpoints in it to supplement his own research, or bring him some ideas and different perceptions.

But the result is disappointing. The main viewpoints and research depth of these papers are not as good as my own.

Click several "X"s to close all these papers.

Chen Zhou still plans to return to his own research rhythm and use his own method to prove Jebov's conjecture.

In fact, although the importance of Jebov's conjecture is greater than that of Kramer's conjecture.

But there is actually a connection between the two.

Krammel had studied Jebov's conjecture at the beginning, and gained something.

These are also the precious treasures that Chen Zhou discovered in the process of proving Kramer's conjecture.

These are also some necessary factors for the birth of the distributed deconstruction method.

It was also the reason why he would leave the four-line formula in that report meeting.

After sorting out his thoughts, Chen Zhou planned to try combining Krammel's conjecture, no, it should be called Krammel's theorem now.

Chen Zhou intends to analyze the distribution deconstruction method in depth by combining Krammel's theorem.

According to this train of thought, Chen Zhou continued his research work.

Time passed quietly.

Chen Zhou, who returned to Yanda University, also returned to the previous pace of study and life.

Good living habits, as long as they are not abandoned, will be accompanied and benefited for life.

Chen Zhou and Yang Yiyi have always maintained such a good living habit.

However, Chen Zhou is the only one who goes to the library every day.

Yang Yiyi is now almost soaking in the laboratory, working hard on her graduation project.

Chen Zhou also asked about Yang Yiyi's application for MIT's offer, but basically it was not a big problem.

For such an outstanding graduate who graduated from the Physics Department of Yanda University in two years, is excellent in all disciplines and has participated in national-level projects.

MIT has no reason to refuse.

Coupled with the recommendation letters from some heavyweight professors in the institute, it can be said that it is stable.

Just wait for the news quietly.

On Chen Zhou's side, when he reanalyzed Kramer's theorem and the distribution deconstruction method, he really found a new research idea.

So far, things are going well.

And through the feedback of the wrong question set, this research idea has a lot of room for excavation.

Although it is not as good as Tao Zhexuan and Zhang Yitang, Chen Zhou's research ideas are very clear.

On April 4, it was more than a week since Chen Zhou returned to school.

library.

Chen Zhou was sitting in a familiar position, burying his head in the draft paper and writing:

【处于m^2和（m+1）^2之间奇数的总个数为L，L=（（m+1）^2）-m^2+1-2）·1/2=m……】

[For the integer of a=bp+r, if b is removed, the remainder r is (0, 1, 2, 3, ..., b-2, b-1).For example, a=3p+r, then r is (0, 1, 2), which can be divided into three categories.And so on……】

[That is, a=bp+r can be divided into b categories, then the probability that the integer of a=bp+r can divide b is 1/b, that is, the probability of r=0 is 1/b, and the probability of not being divisible by b is (b -1)/b...]

【…】

Chen Zhou stopped writing after two sheets of draft paper were completely filled.

After examining it carefully, Chen Zhou circled a few lines on the draft paper, and then marked the word "random variable".

Afterwards, he habitually tapped the draft paper with a pen.

After thinking for a while, Chen Zhou put down his pen and opened the collection of wrong questions.

Comparing the content recorded in the wrong question set, Chen Zhou frowned slightly.

"It stands to reason that there should be no mistakes in this part of the content?"

On the wrong question set, the part he circled was recorded.

This made Chen Zhou very puzzled.

After thinking about it, Chen Zhou closed the set of wrong questions and took the previous draft paper aside.

Pick up the pen again, on a new draft paper, do it again!
It's not just for the content that appeared in the wrong question set, but for the content that Chen Zhou wrote just now, he deduced it all again.

Don't look at the content just now, don't think about the content just now, write and study it as new content completely.

The advantage of doing this is to find out where the problem is from an overall perspective.

Because in his opinion, if the idea is correct, you should not enter the wrong set of questions.

After stopping writing again, Chen Zhou put the two contents together and compared them carefully.

At the same time, I carefully recalled the difference between the two times.

Time passed minute by minute, and by the time Chen Zhou finished all this, it was already noon.

However, when he opened the wrong question set, the problem was still the same.

He encountered a research bottleneck.

"It shouldn't be a big thinking problem, it's just a small blind spot that I haven't discovered yet..."

After thinking about it, Chen Zhou decided to put Jebov's conjecture aside, and continue the research on the optimal design of particle accelerator diodes in the afternoon.

(End of this chapter)