Although the research idea was finally decided, it was not easy to solve the problem.

As for the concept of the critical zone, it has been a full century since it was proposed.

In addition to Re(s)1, which were the first and easiest to solve, they were easily solved, excluding the two regions of Re(s)=0 and Re(s)=1, which took decades to do.

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

In order to help himself understand the subject more deeply, Lu Zhou collected a large number of papers on this subject, and even dug up the electronic versions of the scholarly works that Grothendieck had written to major publishers to remove from the shelves, and found the original version of the cohomology method on the Étale, as well as all the papers published by Professor Deligne during the period of proving the Wey 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 had the intention to enter the field of algebraic geometry, but he couldn't spare time.

The study of Goldbach's conjecture has basically taken up all of his energy, and Professor Drinje's cultivation of him is basically a "free-range" attitude of letting it develop. Of course, if this were not the case, he would not have been able to concentrate on solving the puzzle of the century of Goldbach's conjecture.

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

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

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

On the fifth day, combined with the previous speculation about the algebraic geometry method and the laws summarized from the previous research results, Lu Zhou cleverly chose an algebraic curve on a finite field as an aid, and found a shortcut to the final answer.

Ideas gush out like a spring.

When the algebraic curve on this finite field is found, all the pieces are connected together, pointing to the exit of the labyrinth......

The sun rises on the eighth day.

Lu Zhou, who was sitting at the desk, stretched and sat up straight from his chair with a yawn.

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

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

This feeling of total immersion in the world of mathematics is so wonderful that it can always make you lose track of time......

Sure enough, mathematics is his life.

It's a great feeling!

He turned on the mobile phone that was thrown on the corner of the table and looked at it, and to his surprise, more than a dozen missed calls and unread text messages popped up on the screen.

Ignoring these things for the time being, Lu Zhou threw his phone aside, ready to reply later, and then turned his gaze to the stack of A4 paper on the table.

"The next step is to type the paper into the computer......

Ignoring breakfast, Lu Zhou excitedly scanned and entered the contents of the paper into the computer, edited and saved the electronic file.

He was already familiar with the content of the paper, 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 with the format, Lu Zhou turned on the computer and sent it to the mailbox of the editorial office of the Annals of Mathematics.

The previous paper really didn't have the value to be published, he just hung it on Arxiv.

But this paper is different.

His research results will push a big step forward in the direction of research on the Riemann hypothesis, which has not made any progress for hundreds of years!

That is, it is proved that when the value of the ε is infinite, 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.

i.e., quasi-Riemann-hypothesis!

……

Just when Lu Zhou was in retreat, many people outside were heartbroken about him not going out.

It's nothing 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.

And just like that, a week passed.

Guarding the outside of the villa, just when Wang Peng began to worry about whether the food in the refrigerator could hold up for Lu Zhou, Dr. Yan, who was in charge of Lu Zhou's health and safety, finally couldn't bear it and drove her SUV to kill herself.

Wearing the white coat she wore when she worked as a school doctor, she staggered to the gate of the courtyard, looking at the closed iron fence gate, Yan Yan turned her head to look at Wang Peng, who was standing at the door smoking a cigarette, and asked.

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

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

"I don't know."

Yan Yan: "......"

I don't know what the hell?!

You're his bodyguard and driver!

After being speechless for a while, Yan Yan, who stopped in front of the door, stretched her neck and looked into the courtyard, and said after hesitating for a moment.

"Why don't you go in and have a look?"

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

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

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

"Because...... I tried. ”

Yan Yan frowned, and just as she was about to say something, the iron fence door of the courtyard suddenly creaked open, and then the door not far away was also pushed open with a bang.

The two of them looked at the door in unison, and saw Lu Zhou, who was wearing a gray windbreaker, walking out of the house quickly.

Looking at Lu Zhou, who was finally willing to go out, Wang Peng's heart moved, he flicked the cigarette butt into the trash can, and subconsciously asked, "Is the certificate out?" ”

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

“…… Do you know what I'm researching? ”

Wang Peng let out a "uh" and shook his head awkwardly but politely.

He didn't know much about mathematics, so of course he didn't know what Lu Zhou was studying, but according to his previous experience, it was always some difficult problems to make Lu Zhou lock himself up at home for a few days and not go out.

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 only made an appointment with you last week......"

"Is there such a thing?" Lu Zhou touched his head, and he couldn't remember it a little.

Yan Yan nodded affirmatively.

"Do you want to listen to a recording of a phone call?"

it?

Do you still want to record this?

"This doesn't have to be, I trust you," Lu Zhou continued with a light cough in a sweat...... I'll put aside the medical examination for now, and then I'll do it with you, and now I have something more important to do. ”

As soon as he heard this, Wang Peng's eyes suddenly became serious, and he took out the car key with a shake of his right hand.

"Where are you going?"

Embarrassed to smile, Lu Zhou didn't hide his excited expression in the end.

"Pick up the car."

Wang Peng: "......"

Yan Yan: "......"

Which one is important?!