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 Grothendieck’s academic works, which were removed by major publishers. He found the original Étale proof method, as well as the theses published by Professor Deligne on Weil’s 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 Goldbach’s conjecture took up all of his time. Professor Deligne gave him a lot of freedom, otherwise, he wouldn’t have been able to concentrate on Goldbach’s conjecture.
There were both pros and cons from Deligne’s 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 didn’t even know what time it was.
Because he was too concentrated on his research, he didn’t 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 didn’t 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.
“Looks like it’s time to type the thesis on a computer…”
Without eating breakfast, Lu Zhou transferred the written thesis into the computer.
With Xiao Ai’s help, the thesis transfer didn’t 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 didn’t 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 ε approached zero, there were no non-zero trivial points of the ζ function in the region of Re (s) ≥1-ε!
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, couldn’t wait any longer. She drove her SUV and came to his front gate.
Yan Yan was wearing a white doctor’s coat. She walked to the front gate and looked at Wang Peng, who was smoking a cigarette.
“Why hasn’t Professor Lu come out?”
Wang Peng tapped his cigarette and shook his head.
“I don’t know.”
Yan Yan: “…”
The hell is I don’t know?!
You’re his bodyguard!
Yan Yan tried to look into the front yard. She hesitated for a second before asking, “Should we go inside?”
Wang Peng smiled and shook his head. He said, “Don’t do that, he will get angry.”
Yan Yan: “How do you know? What if he needs our help…”
Wang Peng tapped his cigarette and replied, “Because… I’ve done it before.”
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, “You proved it?”
Lu Zhou looked at Wang Peng and Yan Yan, and he was slightly surprised.
“Do you even know what I was researching?”
Wang Peng awkwardly shook his head.
He obviously didn’t 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, “Wait a second, you have a physical examination today. We made an appointment last week…”
“We did?” Lu Zhou rubbed his head.
Yan Yan nodded.
“Do you want to hear the call recording?”
The f*ck?
Why did you record the call?
“No need, I trust you.” Lu Zhou coughed and said, “We’ll do the examination later, I have something more important to do.”
Wang Peng looked serious, and he began looking for his car key.
“Where are we going?”
Lu Zhou smiled and began to look excited.
“We’re picking up a new car.”
Wang Peng: “…”
Yan Yan: “…”
How is that important?!