838 Riemann hypothesis!
Even with a research plan, solving the problem wasnât easy.
The concept of a critical zone had been around for more than a century.
The zones Re (s) u003c 0 and Re (s) u003e 1 were solved the earliest as they were the easiest. The regions Re (s) = 0 and Re (s) = 1 took nearly a decade to solve.
The exclusion of these two areas directly led to the proof of the prime number theorem.
In order to dive deep into this topic, Lu Zhou collected a large amount of thesis in this area. He even found electronic versions of Grothendieckâs academic works, which were removed by major publishers. He found the original Ătale proof method, as well as the theses published by Professor Deligne on Weilâs conjecture.
Lu Zhou actually should have read these theses during his PhD, but unfortunately, he was involved in the field of number theory, not algebraic geometry.
Research on Goldbachâs conjecture took up all of his time. Professor Deligne gave him a lot of freedom, otherwise, he wouldnât have been able to concentrate on Goldbachâs conjecture.
There were both pros and cons from Deligneâs style of teaching.
On the first day of his retreat, Lu Zhou spent the entire day collecting all of the theses.
Lu Zhou spent the next two days reading the thesis and summarizing the main points.
On the fifth day, Lu Zhou combined his algebraic geometry hypotheses with his newly-learned theorems. He chose an algebraic curve over a finite field as a support, which gave him a shortcut to the final answer.
Inspirational thoughts flew out of his brain.
After finding the algebraic curve on the finite field, all the puzzles began connecting themselves together...
On the eighth day.
Lu Zhou was sitting at his desk. He stretched his back and stood up from his chair.
He finished writing the thesis last night. He didnât even know what time it was.
Because he was too concentrated on his research, he didnât remember when he fell asleep.
This feeling of being completely immersed in the mathematics world was magical, time flew by without him knowing...
Sure enough, mathematics was his passion.
That felt amazing!
He looked at his phone, which was on the corner of his desk. Unsurprisingly, dozens of missed calls and texts popped up on his screen.
Lu Zhou didnât have time to cater to these things. He left his phone aside and planned on replying later. He then looked at the pile of A4 papers on his table.
âLooks like itâs time to type the thesis on a computer...â
Without eating breakfast, Lu Zhou transferred the written thesis into the computer.
With Xiao Aiâs help, the thesis transfer didnât take a lot of time.
After Lu Zhou double-checked the thesis and made sure there were no formatting mistakes, he sent it to the editorial department of Annual Mathematics.
His last thesis didnât have any publication value, so he only uploaded it on arXiv.
But this thesis was different.
The research on the Riemann hypothesis had been stalled for nearly a century, and his research was a giant step for humanity!
He had proved that when the value of Δ approached zero, there were no non-zero trivial points of the ζ function in the region of Re (s) â„1-Δ!
He creatively named this problem.
The Quasi Riemann hypothesis!
...
While Lu Zhou was on his retreat, people in the outside world started to worry about him.
It was fine not leaving the house, but not answering the phone made some people a little anxious.
Another week went by.
Wang Peng, who was guarding the mansion, began to worry if Lu Zhou had anything left to eat. Doctor Yan, who was responsible for the health and safety of Lu Zhou, couldnât wait any longer. She drove her SUV and came to his front gate.
Yan Yan was wearing a white doctorâs coat. She walked to the front gate and looked at Wang Peng, who was smoking a cigarette.
âWhy hasnât Professor Lu come out?â
Wang Peng tapped his cigarette and shook his head.
âI donât know.â
Yan Yan: â...â
The hell is I donât know?!
Youâre his bodyguard!
Yan Yan tried to look into the front yard. She hesitated for a second before asking, âShould we go inside?â
Wang Peng smiled and shook his head. He said, âDonât do that, he will get angry.â
Yan Yan: âHow do you know? What if he needs our help...â
Wang Peng tapped his cigarette and replied, âBecause... Iâve done it before.â
Yan Yan frowned and was about to say something. Suddenly, the front gate opened, followed by the front door opening.
The two looked at the front door and saw Lu Zhou walking out of the house in a gray jacket.
Wang Peng threw the cigarette into the trash and said, âYou proved it?â
Lu Zhou looked at Wang Peng and Yan Yan, and he was slightly surprised.
âDo you even know what I was researching?â
Wang Peng awkwardly shook his head.
He obviously didnât know what Lu Zhou was researching. However, from his past experience, he knew it must have been a difficult problem.
Lu Zhou began walking toward the car. Yan Yan stopped him and said, âWait a second, you have a physical examination today. We made an appointment last week...â
âWe did?â Lu Zhou rubbed his head.
Yan Yan nodded.
âDo you want to hear the call recording?â
The f*ck?
Why did you record the call?
âNo need, I trust you.â Lu Zhou coughed and said, âWeâll do the examination later, I have something more important to do.â
Wang Peng looked serious, and he began looking for his car key.
âWhere are we going?â
Lu Zhou smiled and began to look excited.
âWeâre picking up a new car.â
Wang Peng: â...â
Yan Yan: â...â
How is that important?!