Volume 1: Student Life Chapter 352: The Idea of the Jebov Conjecture
Chen Zhou always felt that this rush to publish papers was a bit impetuous.
Although it is understandable, he absolutely does not agree with it.
Because in his opinion, unless the research results are truly meaningful, other papers are just waste paper.
Before the Gerbov conjecture or the twin prime conjecture is proved, it may still get some minor attention.
Once these two conjectures are solved, these papers will no longer receive any attention.
Instead of doing this, you might as well concentrate on studying it.
Who knows, there might be some unexpected gains during the research process?
Just like Mr. Zhou, a famous mathematician, who failed to solve the problem of Mersenne prime numbers.
However, based on the known Mersenne primes and their arrangements, he cleverly used the method of associated observation and incomplete induction to formally propose an important conjecture on the distribution of Mersenne primes, which is Zhou's conjecture.
This kind of groundbreaking mathematical conjecture proposed in the study of a certain problem is also a great necessity for the development of mathematics.
Chen Zhou felt that this was more practical than just writing a few papers.
Moreover, solving mathematical conjectures is the most difficult and in-depth exploration carried out by the most intelligent minds.
Exploration is about seeking areas and facts that people don’t understand beyond certainty.
The weapons and tools of exploration are innovation in thinking, methods, and theories.
This kind of innovation requires changing old ways of thinking and methods and breaking through inherent theoretical viewpoints.
This is the correct approach to studying mathematical conjectures, rather than rushing to publish papers because you are afraid that your research will become waste paper.
Because this thinking process is sometimes more important than the conjecture itself.
Just like Zhang Yitang, he was able to endure loneliness and finally ushered in the moment of blooming, becoming the "sweeping monk" in the mathematics world.
However, no matter how the outside world changes, he automatically ignores the impact on Chen Zhou.
For him, doing his own thing well is the most important thing.
After selecting a few papers of interest for download, Chen Zhou closed the e-Print arXiv website and began to read these papers.
It didn't take Chen Zhou much time to finish reading these papers.
He originally hoped to find some fresh ideas in it to supplement his own research, or to give himself some different perspectives and ideas.
But the results were disappointing. The main points and research depth of these papers were not as good as mine.
I clicked "X" several times and closed all these papers.
Chen Zhou still plans to return to his own research rhythm and use his own methods to prove the Jebov conjecture.
In fact, the importance of the Jebov conjecture is greater than that of the Cramer conjecture.
But there is actually a connection between the two.
Kramer had studied the Jeboff conjecture and gained something from it.
These are also the valuable treasures discovered by Chen Zhou in the process of proving Cramer's conjecture.
These are also some necessary factors for the birth of distributed deconstruction method.
It was also at that report meeting that he was motivated to leave behind four lines of formulas.
After organizing his thoughts, Chen Zhou decided to try combining it with Cramer's conjecture, no, it should be called Cramer's theorem now.
Chen Zhou plans to combine Cramer's theorem and further analyze the distribution deconstruction method.
Following this idea, Chen Zhou continued his research work.
Time just passes quietly.
After returning to Yanda, Chen Zhou also returned to his previous rhythm of study and life.
Good living habits, as long as they are not abandoned, will accompany you throughout your life and will benefit you throughout your life.
Chen Zhou and Yang Yiyi always maintain such good living habits.
However, now Chen Zhou is the only person who goes to the library every day.
Yang Yiyi is now almost completely immersed in the laboratory, working hard on her graduation project.
Chen Zhou also asked about Yang Yiyi's application for an offer from MIT, and it was basically not a big problem.
For such an outstanding graduate who graduated from the Department of Physics of Yan University in two years, with excellent grades in various subjects and who had participated in national-level projects.
There was no reason for MIT to refuse.
With the recommendation letters from some heavyweight professors in the School of Physics, I can say that I’m accepted.
Just wait quietly for the news.
On Chen Zhou's side, when he re-analyzed Cramer's theorem and the distribution deconstruction method, he actually found a new research idea.
So far, progress is good.
Moreover, through the feedback from the wrong question collection, this research idea has a lot of room for exploration.
Although he is not as good as Terence Tao and Zhang Yitang in that finishing touch, Chen Zhou's research ideas are extremely clear.
On April 24, it had been more than a week since Chen Zhou returned to school.
library.
Chen Zhou was sitting in a familiar position, concentrating on writing on a piece of draft paper:
[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 a=bp+r, when divided by b, 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 a=bp+r can divide b is 1/b, that is, the probability that r=0 is 1/b, and the probability that it cannot divide b is (b-1)/b...]
【……】
Chen Zhou stopped writing only after filling up two sheets of draft paper .
After carefully reviewing it, Chen Zhou circled a few lines on the draft paper and marked the word "random variable".
Then, he habitually tapped the draft paper with his pen.
After a little thought, Chen Zhou put down his pen and opened the collection of wrong questions.
Comparing the contents recorded in the wrong question collection, Chen Zhou frowned slightly.
"Logically, there shouldn't be anything wrong with this part, right?"
The wrong question collection recorded the parts he circled.
This made Chen Zhou very puzzled.
After thinking for a while, Chen Zhou closed the collection of wrong questions and put the previous draft paper aside.
Pick up the pen again, write it down on a new piece of paper, and do it again!
It was not just the content that appeared in the wrong question collection, but he re-derived all the content that Chen Zhou had just written.
Don’t look at or think about the previous content. Just treat it as new content to write and study.
The advantage of doing this is that you can find out where the problem lies from a holistic perspective.
Because in his opinion, if the thinking is correct, you should not use a collection of wrong questions.
After stopping writing again, Chen Zhou put the two contents together and compared them carefully.
At the same time, I also carefully recalled the differences between the two times.
Time passed by minute by minute, and by the time Chen Zhou finished all this, it was already noon.
However, when he opened the collection of wrong questions, the problem was still the same.
He encountered a bottleneck in his research.
"It shouldn't be a big problem with my thinking, but just a small blind spot that I haven't discovered yet..."
After careful consideration, Chen Zhou decided to put the Jebov conjecture aside for the time being and continue his research on the optimal design of particle accelerator diodes in the afternoon.
