The fair-skinned pretty face gradually turned red, and the mouth that was pursed into a W shape bulged, and a trace of stubbornness appeared on Vera's face, and she asked unconvinced.

"Why?"

If she was pointed out as wrong because of a problem in the calculation process, she would not be able to accept it, but she would not be able to accept it if she was directly denied her proof idea without any 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.

"Curve Re(s)=1-c/ln[|Im(s)|+2] is infinitely close to Re(s)=1 at the →∞ of Im(s), which is not avoidable if you use the group construction method. So if you want to use the critical band method, you have to find another way, and the reason why I didn't consider the group construction method when proving the existence of ε values, but used 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, when Drigne proved that "all the zeros of the ζ function of a d-dimensional algebraic cluster on a finite field are located on a straight line of Re(s)=1/2,3/2,...,(2d-1)/2 on the complex plane", Lu Zhou first considered the group construction method.

However, things didn't go so well.

When he introduced group theory to the study of the Riemann zeta function, he soon discovered that this path was simply not going to work.

Looking at the little girl whose face turned red, Lu Zhou continued.

"The study of the critical zone problem is ostensibly an analytic number theory problem, but in essence it is a complex analysis problem with a high probability. Rather than introducing the theory of group construction into the Riemannian zeta function, it may be more appropriate to consider algebraic geometry. I recommend you read Grothendieck's algebraic proof of the Riemann-Roch theorem, which should give you a lot of inspiration. ”

The mist on the coffee cup slowly rose, and the little girl staring at the keyboard didn't say a word.

After a long while, she raised her head and looked firmly at Lu Zhou on the other side of the screen.

"I still think I'm on the right track."

"Curve Re(s)=1-c/ln[|The conclusion that Im(s)|+2] is infinitely close to Re(s)=1 at the →∞ of Im(s) is not a necessary condition for introducing the group method into the Riemann zeta function, and I will prove it to you! ”

Looking at the resolute expression on Vera's face, Lu Zhou thought for a while, then suddenly smiled and said.

"While I'm more optimistic about another way of solving the problem, it seems that you have your own ideas. If you believe you can do it, try to keep going in that direction. Maybe you're right, maybe we'll meet at the finish line. ”

Vera nodded.

"Hmmm! I won't put ...... Ahem! ”

In the middle of speaking, the little girl suddenly covered her mouth and coughed twice.

Looking at Vera, who was sitting back in the chair, Lu Zhou was slightly stunned and asked with concern.

“…… What happened to you? ”

With a slight gasp, Vera raised her head, and said softly with a reluctant smile on her white, somewhat unnatural face.

"It's okay...... It's just that the weather has changed a bit a bit lately, so I might be a little cold. ”

Lu Zhou: "...... Pay more attention to your body, your physique was not very good before, and wear more clothes when it's cold. If you feel uncomfortable somewhere, drink plenty of hot water. ”

I don't know if it's because I'm cared for, or because of a cold, Vera nodded with a flushed face.

"Thank you."

The topic was interrupted somewhat abruptly.

The two fell silent in unison.

It seems that away from the common topic of mathematics, neither of them knows how to continue the conversation.

Just when Lu Zhou was thinking about whether today's call would be here, Vera suddenly opened her mouth and took the initiative to speak first.

"The ......"

Lu Zhou: "What's wrong?" ”

Biting her lip slightly, Vera raised her head and looked at Lu Zhou with a determined gaze.

"Agreed, I still remember."

"So, I'll do my best!"

Lu Zhou was slightly stunned.

Just as he was about to say something, the phone had already hung up.

Looking at the dark video window, Lu Zhou, who was sitting in front of the computer, was silent for a while.

At this time, a string 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 passed, and Lu Zhou shook his head with a smile.

"No, even if I reconnect, I don't know what to say."

Ai: [Okay~0.0]

Lu Zhou: "...... Speaking of which, you still have the ability to connect the video call when you hang up? ”

Xiao Ai: [Is this difficult for Xiao Ai?] ()】

Lu Zhou: "...... That's right. ”

He almost forgot that this guy had hacked into the government affairs system of a European country, used the loopholes in the system to forge his identity, and helped him smuggle a machine tool that was listed on the prohibited list.

Even this kind of operation can be done, and hacking into a personal computer along the network cable is probably not even a trivial matter for it.

……

The problem of the quasi-Riemann conjecture has been solved, and even if the value of the ε is infinitesimal, it can be regarded as opening the door to a new world for the critical zone proof idea that has been silent for a century.

There is only one problem left, and that is how to advance the value of the ε to 1/2.

These days, Lu Zhou, who has finished his retreat, basically spends at least four hours a day in the library of Jinling University, preparing for the final hurdle.

Although the library of the Golden University is not as good as the flint library in Princeton, it can even consult the original manuscripts of some well-known scholars. But in general, in this library, he can find all the books he wants.

As for those that don't, as long as he lists them on the list, the library will definitely find a way to get them for him and add them to the library's shelves.

Speaking of which, there was also a hiccup.

While he was sitting in the library and studying the question about the Riemann zeta function, someone secretly took a photo of him sitting at a desk full of books and posted it to his friends.

Later, turning around, somehow this photo appeared in a chicken soup advertorial that swept the entire college circle of friends.

Actually, Lu Zhou doesn't mind others taking 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 unhappy is that the proverb "live to learn from all the time" is used in the advertorial of the circle of friends over there......

What the hell is it to live and learn?

He's not even thirty!

Why are you old?

It's so angry!

It is worth mentioning that while Lu Zhou was studying how to generalize the conclusions of the quasi-Riemann conjecture to the Riemann conjecture, after waiting for a week, Professor Faltings, director of the Max Planck Institute's Institute of Mathematics, finally accepted the invitation to review the Annals of Mathematics.

With the confirmation of the reviewers, Lu Zhou's paper has finally officially entered the peer review process.

Then there was a long wait.

Based on the difficulty of the Riemann conjecture and the thickness of the 40-page paper, it will be December if I am optimistic that the results of the review will come out.

Because of this article about the proof of the quasi-Riemann conjecture, the entire mathematical community is talking about it.

Even walking on the campus of Jinling University, Lu Zhou could occasionally hear people talking about it.

However, Lu Zhou didn't pay too much attention to what others were saying, and he now focused almost all his attention on the value of ε.

In this way, November gradually came to an end.

It was also at this time that a major event occurred in the international community that had nothing to do with the mathematical community, and its sensation far exceeded the proof of the Riemann conjecture.

After half a year of construction, the first phase of the lunar research facility has finally been completed with the unremitting efforts of the Lunar Orbit Construction Committee and countless aerospace companies!