Chapter 839 Quasi-Riemann Conjecture!

Although the research idea was finally determined, it was not an easy task to solve the problem.

A full century has passed since the concept of the critical zone was proposed.

Except for Re(s)<0 and Re(s)>1, which are solved the earliest and are also the easiest to solve, the two problems of Re(s)=0 and Re(s)=1 are excluded. region, it took decades to do so.

And it was the exclusion of these two areas that directly led to the proof of the prime number theorem later.

In order to help him understand this topic more deeply, Lu Zhou collected a large number of papers on this topic, and even dug out the electronic versions of those academic works that Grothendieck had written to major publishers to take them down. Describe the most original version of the tale cohomology method, and all the papers published by Professor Deligne during the proof of Weil's conjecture.

Lu Zhou should have read these documents during his Ph.D., but unfortunately he was still working hard in the field of number theory at that time. Although he wanted to enter algebraic geometry, he couldn't spare the time.

The research on Goldbach's conjecture has basically taken up all his energy, and Professor Deligne's training of him is basically a "stocking" attitude of letting him develop. Of course, if this were not the case, it would be impossible for him to concentrate on solving the century-old problem of Goldbach's conjecture.

It can only be said that there are gains and losses.

On the first day of retreat, Lu Zhou spent the whole day collecting all the papers he could.

On the third day of retreat, Lu Zhou spent two days quickly reading all these papers and summarizing the main points.

On the fifth day, combined with previous guesses about algebraic geometry methods and the laws summarized from previous research results, Lu Zhou cleverly selected an algebraic curve on a finite field as an auxiliary, and found the way to the final answer shortcut.

Ideas gushed out like spring water.

When the algebraic curve on this finite field was found, all the fragments were connected in series, pointing to the exit of the maze...

The sun rises on the eighth day.

Lu Zhou who was sitting at the desk stretched, yawned and sat up straight from the chair.

After finishing the thesis last night, I don't know what time it is.

Because the research was so involved that when the last step was completed, he himself didn't realize when he fell asleep.

This feeling of being completely immersed in the world of mathematics is so wonderful that it always makes people forget the time...

Sure enough, mathematics is his life.

This feeling is great!

He turned on the cell phone thrown on the corner of the table, and as expected, a dozen missed calls and unread text messages popped up on the screen.

Not caring about these things for the time being, Lu Zhou threw the phone aside, preparing to reply later, and then turned his attention to the stack of A4 papers on the table that was filled with writing.

"The next step is to input the thesis into the computer..."

Ignoring breakfast, Lu Zhou excitedly scanned and input the content on the paper into the computer, edited and saved the electronic file.

He is already familiar with the content of the thesis, and with Xiao Ai's help, it didn't take him much time.

After checking the paper from beginning to end, and confirming that there were no major problems in the format, Lu Zhou turned on the computer and sent it to the mailbox of the editorial department of "Annual Mathematics".

The last paper was really worthless for publication, he just hung it on Arxiv.

But this paper is different.

His research results will promote a research direction about Riemann's conjecture that has not made any progress for hundreds of years, and take a big step forward!

That is, to prove that when the value of ε is infinitely small, there is no non-zero trivial point of the ζ function in the region of Re(s)≥1-ε!

And this question has an imaginative name.

Namely, the quasi-Riemann-hypothesis!

...

When Lu Zhou was in retreat, many people outside were worried about him not going out.

It's okay if he doesn't go out, but he doesn't answer the phone and doesn't contact the outside world, which really makes those who care about him feel a little anxious.

In this way, a week passed.

Standing outside the villa, just when Wang Peng began to worry about whether the food in the refrigerator could last for Lu Zhou, Dr. Yan, who was in charge of Lu Zhou's health and safety, finally couldn't bear it anymore and drove her car. An SUV came to the door in person.

Wearing the white coat she wore when she was working as a school doctor, she walked to the gate of the yard. Looking at the closed iron gate, Yan Yan turned to look at Wang Peng who was smoking at the gate and asked.

"Why hasn't Professor Lu come out yet?"

After flicking the cigarette ash, Wang Peng shook his head and said.

"do not know."

Yan Yan: "..."

I don't know what the hell it is? !

You are his bodyguard and driver!

Speechless for a while, Yan Yan who stopped in front of the door stretched her neck to look into the yard, hesitated for a moment and said.

"Would you like to go in and have a look?"

Wang Peng smiled and shook his head: "It's best not to do this, he will be angry."

Yan Yan: "How do you know? In case something happens to him and needs help..."

After flicking off the ash on the cigarette butt, Wang Peng made a helpless expression.

"Because... I tried."

Yan Yan frowned, and just when she was about to say something, the iron fence door in the yard suddenly opened with a creak, and then the door not far away was pushed open with a bang.

The two turned their eyes to the door in unison, and saw Lu Zhou, who was wearing a gray windbreaker, walking out of the house quickly.

Seeing Lu Zhou who was finally willing to go out, Wang Peng flicked the cigarette butt into the trash can, and subconsciously asked, "Is the proof?"

Lu Zhou glanced at Wang Peng, and then unexpectedly at Yan Yan. He was surprised for a while, and then asked.

"...do you know what I'm researching?"

Wang Peng let out an "uh" and shook his head in embarrassment but politely.

He doesn't know much about mathematics, so of course he doesn't know what Lu Zhou is studying, but according to his past experience, it is always some difficult problems that can make Lu Zhou shut himself up at home for a few days.

Seeing Lu Zhou walking towards the car, Yan Yan hurriedly stepped forward to stop him and said, "Wait a minute, you forgot that there is a physical examination today, I just made an appointment with you last week..."

"Is there such a thing?" Lu Zhou rubbed his head and couldn't remember.

Yan Yan nodded affirmatively.

"Want to listen to the recording?"

Fuck?

Do you still need to record this matter?

"There's no need for this, I believe you," Lu Zhou continued sweating, coughing lightly, "... put aside the medical examination, I will do it with you later, and now I have a more important thing Going to do it."

Upon hearing these words, Wang Peng's eyes suddenly became serious, and he took out the car keys with a flick of his right hand.

"Where are you going?"

Embarrassed with a smile, Lu Zhou couldn't hide his excited expression in the end.

"Pick up the car."

Wang Peng: "..."

Yan Yan: "..."

Which one is important? !