Chapter 195 Zhou Xiao’s Theorem
In the afternoon group meeting, Zhou Yi was not able to start on time.
Because Qiu Chengtong called Zhou Yi to his office and asked:
"Zhou Yi, have you read Wanyi's paper?"
Zhou Yi said:
"I've watched it, but I haven't finished it yet. I'm going to continue watching it while eating dinner. What's wrong?"
Qiu Chengtong said:
"You are an expert in the field of number theory. If you think there is no problem, then there probably won't be any problem. I want to hold a report meeting for Wanyi, so I need to know the correctness of the paper in advance."
Zhou Yi said:
"Then I'll continue reading in the afternoon. So far, there's nothing wrong with the part I've read. She has a very deep understanding of Zhou's analytical method. I can even guess what method she used to prove it later."
Qiu Chengtong said:
"That's good. I can't favor one thing against another. Give me accurate information as soon as possible and help her polish the paper.
I will ask her to publish it in the Annual Journal of Mathematics. If she can really prove it, she will definitely be able to book the Cole Prize for number theory next year."
Zhou Yi said:
"Okay, teacher, but what is Senior Sister going to do next? Should she teach directly or continue to study for a Ph.D.?"
Qiu Chengtong said:
"I haven't had time to ask this question yet. I think she can be a professor at her current level, but I think if we communicate more, we may be able to accumulate more knowledge, which will be better for future development."
Zhou Yi nodded and said:
"Okay, so be it."
Not long after, Zhou Yi returned to the office and said to several apprentices:
"Today's group meeting is cancelled. It will be held tomorrow morning. I want to read your uncle's paper."
When the six people heard this, they instantly breathed a sigh of relief. During the group meeting, Zhou Yi put too much pressure on them.
Outside, they are good top students, but at the group meeting, they feel that they may not graduate from kindergarten.
Zhou Yi flipped through Xiao Wanyi's paper and looked at it carefully.
Regarding Mr. Zhou Haizhong’s Zhou’s conjecture, it can be expressed in mathematical language as:
When 2^(2^n)
Mr. Zhou Haizhong also made an inference based on this: when p<2^(2^(n+1)), Mp has 2^(n+2)-n-2 prime numbers.
Here p is a prime number; n is a natural number; Mp is a Mersenne number.
At first glance, this formula gives the impression that this can also be regarded as a number theory conjecture?
That is number theory, the most difficult direction in the entire field of mathematics. Such a simple question,
It gives me the feeling that I can have sex with me.
In fact, such a simple number theory conjecture has not been proven so far, or a counterexample has been given.
This proof has become an internationally famous number theory problem and has puzzled the mathematical community for almost thirty years.
Regarding the research on the distribution of Mersenne prime numbers, the British mathematician Shanks, the French mathematician Trotta, the German mathematician Burley Hart, the Indian mathematician Ramanuel Young and the American mathematician Gillis have made speculations respectively.
But their guesses have one thing in common, that is, they are all presented with approximate expressions; and their closeness to the actual situation is far from satisfactory.
Only Zhou's conjecture was put forward with precise expressions and was quite mathematically beautiful.
Atler Selberg, a Norwegian number theory master and winner of the Fields Medal and Wolf Medal, believes that Zhou's conjecture is innovative and has created an inspiring new method; its innovation is also reflected in the revelation of On the new rules.
Therefore, this number theory question is still very valuable.
When Zhou Yi finished solving Goldbach's conjecture, he was ready to continue solving Polignac's conjecture and then solve this conjecture smoothly.
As a result, Xiao Wanyi later told Zhou Yi that she was doing this, so Zhou Yi couldn't compete with Xiao Wanyi.
It is just a number theory conjecture. The twin prime conjecture and its generalized form, the Polignac conjecture, have even more landmark mathematical significance.
Zhou Yi originally thought that Xiao Wanyi would take half a year to a year, but he didn't expect that he still underestimated her talent.
Having competed in Qiusai, the National College Student Mathematics Competition, his talent is already quite high.
The page-by-page paper seems very easy to understand based on Zhou Yi's current mathematical level, almost at a glance.
She can even calculate her next steps directly in her mind based on her purpose.
Then compare the steps you calculated with Xiao Wanyi's paper to see if they are the same, or if there is a second proof method.
It turned out that Xiao Wanyi's skills were deeper than Zhou Yi thought, there were no mistakes at all, and the steps were very different from those deduced by Zhou Yi. It could be said that they were almost the same.
Except for a few places that Zhouyi thinks can be streamlined,
His mathematical skills are no weaker than those of some veteran mathematicians.
Zhou Yi sighed, still underestimated his senior sister,
She hasn't been a gangster this year either.
After reading it all afternoon, Zhou Yi didn't finish reading it until the last page of the paper.
Throughout the article, Zhou Yi gave a very high evaluation. If Xiao Wanyi spends more years in the field of mathematics in the future, she may not become a great mathematician.
As for the Fields Medal, it will be a matter of time.
After making his judgment, Zhou Yi went directly to Qiu Chengtong's office and found that Xiao Wanyi was also there, and said directly:
"Teacher Qiu, senior sister, you are all here."
Qiu Chengtong said:
"After reading it, do you have any judgment? Wanyi happens to be here, please tell me your opinion."
Xiao Wanyi's delicate face smiled slightly, winked playfully, looked at Zhou Yi, and said:
"Junior brother, it's okay to just say it."
Zhou Yi said:
"There are no problems throughout the whole article, and the proof process is very exciting."
Having said this, Xiao Wanyi already had a smile on her lips, and a deep love flashed in her eyes, but she did not speak, but waited for Zhou Yi's follow-up.
Zhou Yi continued:
"But there are a few places that I think can be streamlined."
Xiao Wanyi said with a smile on her lips:
"Junior brother, which places?"
Zhou Yi said:
"About the promotion part of Zhou's analytical method."
Zhou Yiqian said something.
Qiu Chengtong on the side listened and said:
"Let's write it according to Wanyi's paper. Not everyone is like you. Someone will analyze your paper carefully and have it read by top mathematicians.
Wanyi's paper is being read by academic editors, and it is also her first time to prove a big conjecture in number theory, so as not to be difficult for others when she asks questions."
Zhou Yi said:
"Yeah, well, that's it, we can announce it to the public."
After hearing this, Qiu Chengtong said:
"Okay, I will contact the dean of the Shuimu Academy of Mathematics now. This is really exciting news. In my later years, the old man, I actually accepted two proud disciples, which is wonderful!"
The excitement on Qiu Chengtong's face was palpable. It was more exciting for his apprentice to achieve good results than to prove these conjectures himself.
"Then I'll leave if it's okay."
Zhou Yi said and walked away.
Not long after, Zhou Yi returned to his office and said to his six apprentices:
"We have a group meeting tonight!"
"Guide~, isn't it tomorrow morning?"
Everyone wailed.
Zhou Yi said:
"I want to open it tonight, can't you? After dinner, it will be at 8 o'clock on time."
"Oh~."
The six people wailed.
To be continued...