Volume 1: Student Life Chapter 387 The Belated Second
However, this is Chen Zhou in an ideal state.
In other words, Chen Zhou needs to immerse himself completely in the world of learning.
As long as he immerses himself completely in the ocean of knowledge in the literature, Chen Zhou can absorb the knowledge therein at the fastest speed.
But it's a process.
Every time I finish reading a document, there is a process of going in and out.
So, in order to ensure that you can complete the planned content.
Chen Zhou would stay up late to study from time to time.
Grab as much time as possible.
【Let φ(n) and S(n) be the Euler function and Smarandache function of a positive integer n, respectively. As we all know, the exact calculation formula of S(n) is an unsolved open problem. Using elementary methods and techniques, the exact calculation formula of S(p^α) is given, where p is a prime number and α is a positive integer, thus completely solving the above open problem...】
[From this, we can obtain the properties of the positive integer solutions (n, k) of the equation φ(n)=S(n^k), as well as several necessary conditions for σ((2^α)q)/S((2^α)q) to be a positive integer, where q is an odd prime number and σ(n) represents the sum of all different positive factors of n. ]
Chen Zhou once again read a paper on "The accurate calculation formula of Smarandache function and the solution of related number theory equations".
The keywords of this paper are "Smar andache function", "Euler function", "Gaussian function" and "perfect number".
Chen Zhou is very familiar with the contents corresponding to these keywords.
Especially the "Smarandache function" and the "Euler function".
Chen Zhou has seen these two things a lot when reading literature these days.
The Smarandache function S(n) is one of the important number theory functions.
Euler function refers to the number of positive integers n in number theory. For a positive integer n, the Euler function is the number of numbers that are coprime with n among the positive integers less than or equal to n.
The facts in ring theory derived from Euler's function and Lagrange's theorem constitute the proof of Euler's theorem.
As for the "Gaussian function", it is named after the prince of mathematics Gauss.
It is also a function with a wide range of applications.
Gaussian functions can be seen in fields such as natural sciences, social sciences, and engineering.
It is particularly worth mentioning that in the formula of the Gaussian function, when c=2, the Gaussian function at this time is the characteristic function of the Fourier transform.
This means that the Fourier transform of a Gaussian function is not just another Gaussian function, but a scalar multiple of the function whose Fourier transform is performed.
Chen Zhou looked at the key words at the end of the document, and related knowledge kept flashing through his mind.
This is also Chen Zhou’s habit when reading literature.
Although this is a keyword in other people's literature, it does not prevent Chen Zhou from extending his thinking.
After collecting his thoughts and closing the article, Chen Zhou looked up at Yang Yiyi on the other side of the video.
Yang Yiyi seemed to have encountered a difficult problem at this moment.
Chen Zhou saw that her brows were furrowed and the pen in her hand kept writing and stopping.
But Chen Zhou didn't say anything.
According to the plan, the evening was the time for him and Yang Yiyi to discuss issues with each other.
It would be better to let Yang Yiyi think about it herself now.
Speaking out suddenly would definitely interrupt Yang Yiyi's train of thought, which would be bad.
After taking another look at Yang Yiyi, Chen Zhou withdrew his gaze.
This time , Chen Zhou was not in a hurry to open the next document.
Instead, he opened the browser, typed in the URL of the e-Print arXiv website, logged into the website, and started browsing.
A month has passed since Chen Zhou returned home, and it is now the end of July.
During this period, Chen Zhou was completely immersed in his own world, strictly following the plan.
I didn't pay attention to the research results in the mathematics community this month.
Now, I would like to take some time to see if there are any outstanding research results in the field of number theory.
According to the tags he had previously selected, Chen Zhou found recently published papers in the field of number theory.
"Proved the Riemann hypothesis?"
At first glance, Chen Zhou was shocked by the title of the paper.
But after reading it carefully, Chen Zhou felt that the paper was a bit too watery.
What made him even more speechless was that the method adopted by the author of the paper was actually his distributed deconstruction method!
But it is used so badly that even the most basic logic of the distributional deconstruction method is not understood and it is used recklessly!
Chen Zhou immediately left a hundred- word review of the paper, severely criticizing the author.
In fact, it doesn’t matter whether it is the Riemann hypothesis or not.
It was mainly the distributed deconstruction method, which really made Chen Zhou furious.
At the same time, Chen Zhou also contacted the website administrator and asked him to remove the paper.
Although the e-Print arXiv website is just a website for preprints, there are still many peers there.
If this were seen by colleagues who were unaware of the truth, wouldn't it lead to a huge misunderstanding of the distributed deconstruction method?
Chen Zhou would not allow this to happen.
At least, after he saw it, it was absolutely unacceptable.
This is Chen Zhou's defense of his research results!
Use it right, whatever you want will work.
But if it is used incorrectly, Chen Zhou must point it out.
Chen Zhou was satisfied only after the website administrator agreed to take the product off the shelves .
Continue browsing related papers.
As for other papers, Chen Zhou also saw many that claimed to prove the Riemann hypothesis and the Goldbach conjecture.
But he didn't even click on it, these were all gimmicks.
I guess most of them are amateur scientists who post their work on the e-Print arXiv website.
Speaking of which, the reason why Chen Zhou’s mailbox fills up so quickly.
These amateur scientists also need to bear a large part of the responsibility.
Because from time to time, Chen Zhou would inexplicably receive an email from them.
Some people questioned Chen Zhou's method of proof.
Some also questioned Chen Zhou's proof process.
He also tried to force Chen Zhou to admit his mistake by using his own proof method.
There are even people who want to compete with Chen Zhou for the right to prove mathematical conjectures.
They believed that their proof was also correct and was earlier than Chen Zhou's.
Therefore, they are the first people to prove the Hailstone conjecture, Cramer conjecture, and Jebov conjecture, among other mathematical conjectures.
And Chen Zhou, this little brat who came out of nowhere, is completely stealing the academic achievements!
Chen Zhou was a bit amused and confused about this, but he had only one option, which was to block the message and refuse to accept it!
I read a few more papers and browsed the titles of related papers.
Chen Zhou closed the e-Print arXiv website and prepared to continue publishing his own papers.
At this moment, a notification message suddenly popped up on his mobile phone.
Chen Zhou glanced at it sideways and was stunned for a moment.
Then he chuckled and said, "How slow! It's been such a long time since I graduated, and you two just managed to figure it out. It's a pity that I helped you take a step ahead..."
As he spoke, Chen Zhou clicked on the message on his phone.
This is a reminder message from a news software.
The content of the news is about mathematical conjectures.
This mathematical conjecture is the twin prime conjecture, which is as famous as the Jebov conjecture.
Today, more than a month after Chen Zhou completed his thesis and graduated from college, Terence Tao and Yitang Zhang finally completed the proof of the twin prime conjecture.
In response to this, the American media naturally became excited instantly.
Although he was later than Chen Zhou and lost the game.
But this is the twin prime conjecture that is not inferior to the Jebov conjecture?
This is also a world-class mathematical conjecture and problem, right?
Therefore, the American media reported this incident with great excitement.
In comparison, the media in China are much calmer.
They just reported the incident objectively without making too many comments.
There were some self-media outlets that reported this incident with the title "The Late Second".
It was emphasized that Terence Tao and Zhang Yitang lost the game against Chen Zhou.
