842 Disagreemen
A tint of red appeared on Vera’s white cheeks, and she pouted and looked stubborn.
“Why?”
She would be fine if Lu Zhou found a calculation error. But Lu Zhou simply told her the proof idea wouldn’t work, without reason. She couldn’t accept this.
Even though he was her respected ex-supervisor.
Lu Zhou knew what Vera was thinking. He sighed 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) approaches infinity. By using the Group Structure Method, this result is inevitable. Therefore, if we want to use the critical line, we must use a different tool. This is the reason why I did not use the Group Structure Method when I proved the existence of epsilon. Instead, I used an algebraic geometry method.”
Lu Zhou knew the Group Structure Method like the back of his hand.
When it came to Deligne’s proof that “all zeros of the ζ function of a d-dimensional algebraic cl.u.s.ter over a finite field lie on the complex plane, Re (s) = 1/2, 3/2, …, (2d-1 ) / 2…”, before using a h.o.m.ology group method and the Fourier transform, Lu Zhou first thought about using the Group Structure Method.
However, things didn’t go that well.
When he tried to apply a group theory method to the Riemann zeta function, he soon discovered it would not work as expected.
Lu Zhou looked at the blus.h.i.+ng girl and spoke.
“On the surface, the research on the critical line is an a.n.a.lytic number theory problem. However, it actually is a complex a.n.a.lysis problem. When it comes to the group construction of Riemann’s zeta function, I recommend you to read some of Grothendieck’s algebraic proofs of the Riemann-Roch theorem. It might inspire you.”
The steam slowly rose from Lu Zhou’s coffee cup. The girl stared at her keyboard and didn’t speak.
After a while, she looked up and stared dead straight at Lu Zhou.
“I still think my theory is correct.
“We don’t have to prove that Re (s) = 1-c / ln [| Im (s) | +2] infinitely approaches Re (s) = 1 when Im (s) approaches infinity to use the Group Structure Method. I will prove it to you!”
When Lu Zhou looked at how determined Vera was, he contemplated it for a second before smiling.
“I think there are better approaches, but it seems like you have made up your mind. If you are sure you can do it, then you might as well try. Maybe you are right, maybe we will meet on the finish line.”
Vera nodded.
“Yeah! I will not give up!”
The girl covered her mouth and coughed twice.
Lu Zhou paused for a second and asked, “Are you okay?”
Vera looked up and smiled reluctantly. She then replied softly, “Nothing… The weather has been changing, so I might have caught a cold.”
Lu Zhou: “Take care of yourself. Put more clothes on, drink some water.”
Vera began to blush. She didn’t know if it was because of Lu Zhou or because of her cold.
“Thank you.”
The conversation died.
The two went into silence.
It seemed like they didn’t know what to talk about outside the world of mathematics.
Lu Zhou was about to end the call, but Vera suddenly spoke first.
“Um…”
Lu Zhou: “What?”
Vera bit her lip and stared firmly at Lu Zhou.
“I still remember our agreement.
“I will try my best!”
Lu Zhou paused for a second.
He was about to say something, but the call was disconnected.
Lu Zhou stared at the blank screen and went silent for a while.
Suddenly, a pop-up window appeared on the lower-right corner of his desktop.
Xiao Ai: [Master, do you want me to call her back? (๑•. •๑)]
A few seconds went by, Lu Zhou smiled and shook his head.
“No, it’s fine. Even if you do call her back, I wouldn’t know what to say.”
Xiao Ai: [Okay then 0.0]
Lu Zhou: “Speaking of which, I didn’t know you can video call people for me…”
Xiao Ai: [That’s very easy for Xiao Ai to do.]
Lu Zhou: “True.”
He nearly forgot that Xiao Ai hacked into a European government affairs system and used the loopholes in the system to forge an ident.i.ty. This helped him sneak in a prohibited machine tool.
Video calling a person was a piece of cake in comparison.
…
The Quasi Riemann hypothesis was solved. Even though epsilon was determined to be infinitely small, this was still a huge step forward for the critical line idea.
Now, the only problem was how to advance the epsilon to 1/2.
Over the past few days, Lu Zhou spent four hours a day locking himself in the Jin Ling University library.
The library at Jin Ling University wasn’t as great as the Firestone Library in Princeton, and he could even access original ma.n.u.scripts at the Firestone Library. However, he could find most of the resources he wanted at the library at Jin Ling University.
And for the ones he couldn’t, as long as he put in a request, the library would buy the book for him.
Speaking of which, a small accident happened.
When he was sitting in the library studying the Riemann zeta function, someone secretly took a picture of him sitting at his desk with a pile of books and sent it to their friends’ news feed on WeChat.
After that, somehow this photo went around the entire school.
In fact, Lu Zhou was happy to see himself set as a good example for the students. The only downside was that the caption used for the photo was “Keep on studying and you’ll never be old”.
What do you mean old?
I’m not even thirty years old yet!
The h.e.l.l is old?
Ah, I’m so p.i.s.sed off!
It was worth mentioning that while Lu Zhou was researching on how to extend the proof of the Quasi Riemann hypothesis, Mr. Faltings, the director of the Max Planck Inst.i.tute for Mathematics, finally received the review invitation from Annual Mathematics.
Now that the thesis had a reviewer, Lu Zhou’s thesis finally entered the peer review process.
This was going to be a long wait.
Due to the difficulty of the 40-page thesis, it would be at least December before the results would be published.
The entire mathematics community was talking about the Quasi Riemann hypothesis thesis.
Lu Zhou could even hear people talking about it at Jin Ling University campus.
However, Lu Zhou didn’t really care about what other people think about him. He put all of his attention onto the value of epsilon.
Just like this, November came to an end.
Another major event occurred in the international community, one that had nothing to do with mathematics, one that far surpa.s.sed the proof of the Quasi Riemann hypothesis.
After half a year of construction, the first phase of the lunar research facility was finally complete!