Chapter 843 Disagreement
The fair and pretty face gradually turned red, and her W-shaped mouth puffed up. A trace of stubbornness appeared on Vera's face, and she asked unconvinced.
"why?"
If it was pointed out that she was wrong because of a problem in the calculation process, she would not accept it if she was directly denied her own proof thinking without reason.
Even if it is his most respected mentor.
Seeing through Vera's thoughts at a glance, Lu Zhou sighed softly and patiently explained to her.
"The curve Re(s)=1-c/ln[|Im(s)|+2] is infinitely close to Re(s)=1 when Im(s)→∞, if you use the group construction method, no matter what This conclusion cannot be avoided. Therefore, if you want to use the critical band method, you must find another way. The reason why I did not consider the group construction method when proving the existence of the value of ε, but adopted the method of algebraic geometry is because of this.”
No one knows the group construction method better than Lu Zhou himself, from the twin prime conjecture to the Goldbach conjecture,
In particular see Deligne in proving that "all the zeros of the zeta function of d-dimensional algebraic varieties over finite fields lie on the complex plane Re(s) = 1/2, 3/2, . , (2d-1)/ 2", the mapping and Fourier transform of the homology group were introduced, and the first thing Lu Zhou considered was the group construction method.
However, things didn't go so smoothly.
When he was trying to introduce the theory of group theory into the research on the Riemann zeta function, he soon discovered that this path was simply unworkable.
Looking at the little girl whose face turned red, Lu Zhou continued.
"Research on the critical band problem appears to be a problem of analytic number theory, but in essence it is a problem of complex analysis. Compared with introducing the theory of group construction method into the Riemann zeta function, it may be more important to consider the method of algebraic geometry. Appropriate. I recommend you to read Grothendieck's algebraic proof of the Riemann-Roch theorem, it should give you a lot of inspiration."
The mist on the coffee cup slowly rose, and the little girl staring at the keyboard said nothing.
After a while, she raised her head and looked firmly at Lu Zhou on the other side of the screen.
"I still think that my line of thinking is correct."
"The conclusion that the curve Re(s)=1-c/ln[|Im(s)|+2] is infinitely close to Re(s)=1 when Im(s)→∞ is not to introduce the group construction method to Li I will prove the necessary conditions for the Mann zeta function to you!"
Seeing the resolute expression on Vera's face, Lu Zhou thought for a while, then suddenly smiled and said.
"Although I am more optimistic about another way to solve the problem, it seems that you also have your own ideas. If you firmly believe that it can be done, then try to continue in this direction. Maybe you are right , maybe we can meet at the finish line."
Vera nodded.
"Hmm! I won't let it go...cough cough!"
Just in the middle of speaking, the little girl suddenly covered her mouth and coughed twice.
Seeing Vera sitting back on the chair, Lu Zhou froze for a moment and asked with concern.
"……What’s wrong with you?"
Breathing lightly, Vera raised her head, with a forced smile on her white and somewhat unnatural face, and said softly.
"It's okay...it's just that the weather has changed a bit recently, maybe I have a cold."
Lu Zhou: "... Pay more attention to your body. Your physique was not very good before. Wear more clothes when it's cold. If you feel uncomfortable, drink more hot water."
Not knowing whether it was because of being cared for or because of a cold, Vera nodded with a blushing face.
"thanks."
The topic was interrupted abruptly.
The two fell into silence at the same time.
It seems that they left the common topic of mathematics, and neither of them knew how to continue this conversation.
Just when Lu Zhou was thinking about whether today's call would end here, Vera suddenly opened her mouth, taking the initiative to speak first.
"that……"
Lu Zhou: "What's wrong?"
Biting her lips lightly, Vera raised her head and looked at Lu Zhou firmly.
"Promise, I still remember."
"So, I will work hard!"
Lu Zhou froze for a moment.
Just when he was about to say something, the phone was hung up.
Looking at the dark video window, Lu Zhou sitting in front of the computer was silent for a while.
At this time, a series of pop-up windows popped up in the lower right corner of the desktop.
Xiao Ai: [Master, do you need me to reconnect the video call? (.)】
About half a minute later, Lu Zhou smiled and shook his head.
"No, even if I reconnect, I don't know what to say."
Xiaoai: [Okay~0.0]
Lu Zhou: "...Speaking of which, you still have the ability to pick up the video calls you hang up?"
Xiao Ai: [Is this difficult for Xiao Ai? ()]
Lu Zhou: "...that's exactly what I said."
He almost forgot that this guy had hacked into the government affairs system of a certain European country, used a loophole in the system to forge his identity, and helped him smuggle a machine tool that was on the banned list.
Even this kind of coquettish operation can be done, hacking into a personal computer along the network cable, I am afraid it is not even a trivial matter for it.
...
The problem of the quasi-Riemann conjecture has been solved. Even if the value of ε is infinitesimally small, it can be regarded as opening the door to a new world for the critical band proof idea that has been silent for a century.
Now there is only one problem left, that is how to advance the value of ε to 1/2.
These days, after finishing his retreat, Lu Zhou spends at least 4 hours every day in the library of Jinling University, preparing for the final hurdle.
Although King University's library is not as powerful as Princeton's Flint Library, it is even possible to consult the original manuscripts of some well-known scholars. But generally speaking, in this library, all the works he wanted to find could be found.
As for those who don't have it, as long as he is listed on the book list, the library will definitely find a way to get it for him and add it to the library's bookshelf.
Speaking of this incident, there was a small episode.
While he was sitting in the library studying about the Riemann zeta function, someone secretly took a photo of him sitting at a desk full of books and sent it to his circle of friends.
After turning around, somehow this photo appeared in a chicken soup soft article that swept the entire college circle of friends.
In fact, Lu Zhou doesn't mind others using himself as a positive example to educate others to study hard and make progress every day, but the only thing that makes him a little uncomfortable is that the soft article in the circle of friends over there uses the phrase "live and learn". a proverb...
What the hell is it to live and learn?
He's not yet thirty!
Why are you getting old?
So angry!
It is worth mentioning that when Lu Zhou was studying how to extend the conclusion of the Quasi-Riemann Hypothesis to the Riemann Hypothesis, after waiting for a week, Professor Faltings, Director of the Institute of Mathematics of the Max Planck Society, Finally accepted the review invitation of "Annual Journal of Mathematics".
With the confirmation of the reviewers, Lu Zhou's paper has finally officially entered the peer review process.
Then came the long wait.
According to the difficulty of the Riemann conjecture and the thickness of the 40-page paper, if you are optimistic and want to wait for the results of the review, it will be December.
Because of this article about the proof of the quasi-Riemann conjecture, the entire mathematics community is buzzing.
Even walking on the campus of Jinling University, Lu Zhou could occasionally hear people discussing this matter.
However, Lu Zhou didn't pay much attention to what others said. Now he almost focused all his attention on the value of ε.
In this way, November gradually came to an end.
At this time, a major event that had nothing to do with the mathematics community happened in the international community, and its sensation far exceeded the proof of the Riemann Hypothesis.
After half a year of construction, the first phase of the lunar surface research facility was finally completed under the unremitting efforts of the Lunar Orbit Construction Committee and countless aerospace companies!