Chapter 352: The Idea of the Debov Conjecture
This phenomenon of hurriedly publishing papers, Chen Zhou always felt a little impetuous.
While understandable, he was in no way in favor of it.
Because in his opinion, unless there is really a certain significance of research results, other papers are just waste paper.
Until the Jebov conjecture, or the twin prime conjecture, is proven, there may be some minor attention.
Once these two conjectures are resolved, these papers will no longer be able to gain a little attention.
Rather than that, it's better to dive in.
Perhaps, in the process of research, there will be unexpected gains?
Just like Mr. Zhou, a famous mathematician in China, although he failed to solve the problem of Mersenne primes.
However, based on the known extreme arrangement of Mersenne primes, he skillfully used the method of contact observation and incomplete induction, and formally put forward an important conjecture about the distribution of Mersenne primes, that is, Zhou's guess.
This kind of breakthrough mathematical conjecture put forward in the study of a certain problem is also a great necessity for the development of mathematics.
Chen Zhou felt that this was more than a few papers on water, and it was really coming.
Moreover, cracking mathematical conjectures is the most difficult and in-depth exploration carried out by the wisest minds.
Exploration is about seeking out areas and facts that people don't know about outside of certainty.
The weapons and tools for exploration are innovation in thinking, methods, and theory.
This kind of innovation requires changing the old way of thinking and methods, and breaking through the inherent theoretical viewpoints.
This is the correct posture for studying mathematical conjectures, rather than preemptively publishing papers because they are afraid that their research will become waste paper.
Because this process of thinking is sometimes more important than the conjecture itself.
Just like Zhang Yitang, he endured loneliness, and finally ushered in the moment of blooming, and became a "sweeping monk" in the mathematical world.
However, no matter what the changes in the outside world were, the impact on Chen Zhou was automatically ignored by him.
For him, doing his own thing well is the most important thing.
After selecting a few papers of interest to download, Chen Zhou closed the e-Print arXiv website and began to review these papers.
It didn't take much time for Chen Zhou to finish reading these papers.
Originally, he also hoped that he could find some fresh ideas in it, supplement his own research, or bring himself some different views on ideas.
But the results are disappointing, the main ideas of these papers, the depth of research, are actually not as good as their own.
Tap a few "Xs" to close all of them.
Chen Zhou still plans to return to his own research rhythm and use his own methods to prove Jepov's conjecture.
In fact, the Jebov conjecture is more important than the Crummel conjecture.
But there is actually a connection between the two.
Kramel had studied the Jebov conjecture and gained something.
These are also the precious treasures that Chen Zhou discovered in the process of proving Cramell's conjecture.
These are also some of the necessary factors for the birth of the distribution deconstruction method.
It was also the reason why he ended up leaving a four-line formula at that presentation.
After sorting out his thoughts, Chen Zhou planned to try to combine the Kramel conjecture, no, it should be called Kramel's theorem now.
Chen Zhou plans to combine Clamell's theorem and analyze the distribution deconstruction method in depth.
Following this line of thought, Chen Zhou continued his research work.
Time passed quietly.
Chen Zhou, who returned to Yan University, also returned to the previous rhythm of study and life.
Good living habits, as long as they are not abandoned, will accompany and benefit for life.
Chen Zhou and Yang Yiyi have always maintained such good living habits.
It's just that Chen Zhou is the only one who goes to the library every day.
Yang Yiyi is now almost immersed in the laboratory, working hard for her graduation project.
Regarding Yang Yiyi's application for an offer from MIT, Chen Zhou also asked, and basically there was no big problem.
For such an outstanding graduate who graduated from the Department of Physics of Yan University in two years, has excellent results in various disciplines, and has participated in national projects.
There is no reason to say no to MIT.
Coupled with the letters of recommendation from some heavyweight professors in the School of Physics, it can be said that it is stable.
Just wait quietly for the message.
Chen Zhou's side, when he re-analyzed Clamell's theorem and the distribution deconstruction method, he really found a new research idea.
So far, progress is good.
Moreover, through the feedback of the wrong question set, there is a lot of room for excavation of this research idea.
Although it is not as close to Tao Zhexuan and Zhang Yitang, Chen Zhou's research ideas are extremely clear.
On April 24, it has been more than a week since Chen Zhou returned to school.
Library.
Chen Zhou was sitting in a familiar position, burying his head in scratch paper, writing:
[The total number of odd numbers between m^2 and (m+1)^2 is L, L=((m+1)^2)-m^2+1-2)·1/2=m......]
[For an integer of a=bp+r, remove b from the remainder r as (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 class b, then the probability that the integer of a=bp+r can be divisible by 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......]
【......】
After writing two pieces of scratch paper, Chen Zhou stopped writing.
After carefully examining it, Chen Zhou circled a few lines on the scratch paper, and then marked the words "random variables".
Then, he habitually clicked on some scratch paper with his pen.
After a little thought, Chen Zhou put down his pen and opened the wrong question set.
Comparing the content recorded in the error book, Chen Zhou frowned slightly.
"It stands to reason that there shouldn't be anything wrong with this part?"
On the problem set, it is the part he circled that is recorded.
This made Chen Zhou very puzzled.
After thinking about it, Chen Zhou closed the set of mistakes and took the previous scratch paper aside.
Pick up the pen again, on new scratch paper, and do it all over again!
It's not just about the content that appeared on the wrong question set, but what Chen Zhou wrote just now, and he re-deduced it all.
I don't look at what I just said, I don't think about what I just said, I write and study it as if it were something new.
The advantage of this is to look at the problem from a holistic perspective.
Because in his opinion, if the idea is right, it should not be on the wrong problem set.
After stopping writing again, Chen Zhou put the two contents together and carefully compared them.
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 doing this, it was already noon.
However, when he flipped through the wrong set, the problem was still the same.
He hit a research bottleneck.
"It shouldn't be a big problem of thinking, it's just a small blind spot that I haven't discovered yet......"
After thinking about it, Chen Zhou decided to put aside the Jebov conjecture first and continue the research on the optimal design of the particle accelerator diode in the afternoon.