Scholar’s Advanced Technological System

After passing the time successfully on the balcony to the end of the banquet, after leaving two bills on the hotel waiter's tray, Lu Zhou immediately went to the parking lot and got on the black red flag waiting. 35xs

"Back to Zhongshan International."

"Ok."

Sitting in the driver's seat, Wang Peng nodded, and quickly started the car on the highway.

Although he had previously discussed the Riemann zeta function with the woman with a long name, he basically said it by himself, but even he himself did not expect that such a general discussion of bulls and harps would work. It gave him a little inspiration.

Sitting in the back of the car, there was a silent land boat, and suddenly a word popped out.

"I still lack a tool."

Wang Peng, holding the steering wheel, gave a slight nod.

"... what tools?"

"It's nothing."

"Do you need to go to the supermarket?"

Lu Zhou smiled and shook his head.

"It would be nice if it was available in the supermarket."

I felt that if I let him continue, I was afraid that I would be in an aggressive state all the way. Considering that I was still driving, Wang Peng closed his mouth wisely and stopped paying attention. Focused on the road ahead.

The location of Zijinshan Hotel is not far from Zhongshan International, but a ten-minute drive, Lu Zhou quickly saw the gate of the familiar neighborhood.

After the car stopped at the door of the house, and explained that he was not going to find himself tomorrow, Lu Zhou went straight home and walked up the stairs.

"It is not realistic to solve the π (x) function by a general method. There have been 10,000 and 1,000 people who have challenged this problem in the past century and a half. Even if this idea works, the traditional method also It must have been considered. "

"Subversive results often require subversive approaches to solve. Flash Dance Novel Network 35xs"

"I need new tools!"

The four-rotor drone whimpered beside, and staggered up the second floor with the landing boat.

Unable to recognize the order contained in Lu Zhou's self-spoken words, Xiao Ai following him asked curiously.

"the host?"

"Cup a cup of coffee for me. It's instant. Just send it to the study."

"But it's so late ..."

"It doesn't matter, I didn't intend to sleep tonight."

"Good master, but please pay attention to your body."

Reaching for the door of the study, Lu Zhou dropped only three words and walked in quickly.

"Got it!"

It is unrealistic to want to climb Riemann once. This Everest has stood at the apex of the mathematical world for too long. Numerous people have tried to challenge it, but most of the cases are at the foot of the mountain Turn around so that although the latecomers were able to find a lot of road signs pointing to the top of the mountain, they didn't even have a step that they could borrow.

No matter which proof of thought is adopted, the initial road must be repaired before reaching the summit.

At least, let him see the hope of proof ...

Sitting at the desk with one buttock, he crushed all the draft paper piled at the corner of the table and threw it into the basket, and Lu Zhou again took out a new pile of draft paper and piled it on the table.

Looking at the stuffed paper basket and the pile of draft paper on the table, Lu Zhou's mouth suddenly evoked a smile and shook his head to himself.

"... this is probably the most cost-effective project I have done in years."

Even when correlating the strong interaction forces and electromagnetic forces when proving the Young Mills equation, he wrote to use ce's equipment to do several sets of theoretical physics experiments, which also cost a lot of money. 35xs

But such pure mathematical problems as Riemann's conjecture, I am afraid it will only cost draft paper and brain cells ...

...

For Lu Zhou, it seems a long time ago to devote himself to the research of a subject.

Since serving as the chief designer of the Lunar Orbital Construction Committee, he has more often played the role of academic leader, and rarely rushes into the forefront of scientific research like ordinary scientific dogs.

However, even so, the familiar feeling is not unfamiliar to Lu Zhou.

Especially when he was devoted to the problem on the paper, the series of Arabic numbers and ancient Greek symbols flowing from the tip of his pen were like notes of classical music, combining cheerful rhythm with serious rhythm. Together, they form a silent symphony that shakes the soul.

The rising mist of the coffee cup gradually dissipated, the street lights on the asphalt road gradually went out, and the purple mountains under the night were still quiet. After a while, the dawn dawn appeared gradually out of the window, as if by a few sounds The crisp birdsong disturbed, Lu Zhou stopped the ball-point pen in his hand gently, and said in his mouth gently.

"In the study of the Wey conjecture, including the 'cottage version' of the Riemann conjecture, the new mathematical tool étale cohomology created by Grothendieck has produced a huge impact on the development of algebraic geometry and even the entire mathematical field. The impetus, and ultimately led directly to Deligne's proof of Weil's conjecture. "

"If you want to find the way to the top of the mountain, you have to take down the nearest mountain first ... the weak conjecture of Riemann's conjecture."

Just like the relationship between the twin prime conjecture and Polignac's conjecture, the latter is a relationship contained in the former. Although the former can not directly lead to the latter's proof, it can inspire the latter's proof. effect.

Such is the exploration in the field of mathematics.

From the weak form of a conjecture to the conjecture itself, and the strong conjecture that the conjecture itself is promoting, when all the problems are solved and all the clues are connected in series, a mathematical building is also built.

Thinking of this, Lu Zhou pushed the full draft paper aside and wrote a line of calculations on the paper.

A smile gradually evoked the corners of his mouth, and the dignity between Yu Zhou and Yu Zhou also disappeared.

"If you want to prove that all zeros are distributed on the zero limit, you can start by excluding areas where zeros do not exist! Re (s≤0 and re (s) ≥1 are known results, as long as you think of a way to advance this conclusion to All areas outside the critical line, that is, re (s) 1/2! Can prove the Riemann conjecture! "

"I can start with the right border first!"

This proof of thought is also called the critical band method! Different from the proof of how many percent of zeros are on the zero limit, the core of the whole proof of thought is to shrink the area of ​​the critical band containing all zeros and finally approach the critical line!

As long as he can translate the right boundary of the critical band from re (s) = 1 to the left to re (s) = 1-e (e> 0), so as to exclude the area of ​​re (s) ≥1-e, No matter how small the value of e is, it can greatly promote the proof of Riemann's conjecture!

The idea is already there, and now it is left to solve this problem!

Although it is only a kind of intuition in the deep, this intuition tells him that this piece of puzzle is likely to be in algebraic geometry! Unfortunately, this is also one of his least prolific fields ...

"If only someone could discuss it."

However, this idea just came into being, and Lu Zhou shook his head.

Especially Professor Deligne ...

But unfortunately, some things ca n’t be explained clearly in the email ~ www.readwn.com ~ Video call may be a method, but neither the atmosphere nor the feeling is definitely better than Princeton's tea time Academic communication.

At present, he can only rely on himself.

"Can't rely on others."

However, that said, eventually Lu Zhou couldn't hold back his curiosity. He opened the computer and logged in to the mathoverflow page, and searched for recent topics.

But soon, there was a clear disappointment on his face.

I previously hung that paper on arxiv, and he was counting on it to play a role of intriguing others. By initiating relevant discussions on Mathoverfolw, he saw some interesting ideas.

But now it seems that his idea is clearly unsuccessful.

Even in a relatively professional mathematical discussion community, the last time it appeared here was phd. People's nature is more keen to gossip than to solve specific problems.

Although there are some discussions focused on the academic field, the content of these discussions is a bit too "outdated".

"It seems to be in retreat for a few days."

Leaning back against the chair, Lu Zhou picked up the phone from the table, and sent a text message to Wang Peng, so that he would not be used to find himself these days, then yawned and went downstairs and went to the bathroom. .

At first he was hoping to catch something with that trace of inspiration at night, and even get a staged result, but unfortunately, the situation was more severe than he thought, at least not by virtue of A little bit of inspiration and a night can be worked out.

Now that the retreat has been decided, there is no need to fight for it overnight.

Before starting formal work, he plans to make up for the sleep that he did not sleep yesterday ...