Scholar’s Advanced Technological System

After killing the time on the balcony until the end of the banquet, after leaving two banknotes on the waiter's tray, Lu Zhou immediately went to the parking lot and sat on the black red flag that had been waiting.

"Back to Zhongshan International."

"Ok."

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

Although the former woman who was a little longer with the name discussed the Riemann zeta function, basically he said it himself, but even he did not think that this general discussion of the cow playing the piano can Give him some inspiration.

Sitting in the back of the car, has been silent for a word of Lu Zhou, suddenly took a word.

"I still lack the same tools."

Wang Peng holding the steering wheel slightly smashed.

"...What tools?"

"It's nothing."

“Need to go to the supermarket?”

Lu Zhou smiled and shook his head.

"If the supermarket sells, it will be fine."

I feel that if I let him continue, I am afraid that the rest of the road will be in a state of full force, considering that he is still driving, so Wang Peng wisely closes his mouth and no longer speaks, pays attention. Concentrated on the road ahead.

The location of Zijinshan Hotel is not far from Zhongshan International. However, after ten minutes of driving, Luzhou soon saw the familiar community gate.

The car stopped at the door of the house and explained that tomorrow, after not being used to find himself, Lu Zhou went straight back to the home and walked quickly to the stairs.

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

“Subversive results often require disruptive methods to solve.”

"I need new tools!"

The four-rotor drone floated aside, swaying along with Lu Zhou on the second floor.

Because he couldn't recognize the command contained in Lu Zhou's self-talking, Xiao Ai, who was behind him, asked curiously.

"the host?"【(?????)】

"Cake a cup of coffee for me, to be instant, just send it to the study."

"But it is already so late..." [(°ー°〃)]

"It doesn't matter, I have no plans to sleep tonight."

"Good master, but please be careful about your body." [(=?w?)]

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

"Got it!"

It’s unrealistic to want to climb Riemann’s guess at this time. This Everest has stood at the apex of mathematics for too long. Countless people have tried to challenge it, but most of the cases are at the foot of the mountain. Turning around, even though the latecomers were able to find a lot of road signs pointing to the top of the mountain, there wasn't even a ladder that could be borrowed.

No matter which proof is adopted, you must first fix the original road before you reach the top of the mountain.

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

The fart. The stock sat at the desk, and all the draft paper piled up at the corner of the table was smashed into the paper basket. Lu Zhou re-engaged a stack of new draft papers on the table.

Looking at the paper basket that had been filled, and the pile of draft paper that was about to be filled on the table, Lu Zhou’s mouth suddenly evoked a smile and shook his head and said to himself.

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

Even if it is related to the strong interaction force and electromagnetic force when proving the Yang Mills equation, he wrote a series of theoretical physics experiments using the equipment of cern, and also spent a lot of money.

But like Riemann’s conjecture, this purely mathematical problem, I’m afraid it’s just a waste of paper and brain cells...

......

For Lu Zhou, it seems that it has been a long time ago for the whole body to invest in the research of a subject.

Since becoming the chief designer of the Lunar Track Construction Committee, he has played the role of an academic leader, and rarely rushes to the forefront of research, just like a general research dog.

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

Especially when he devoted himself to the problem of paper, the string of Arabic numerals and ancient Greek symbols flowing from his pen tip, like the notes of classical music, blended the cheerful rhythm with the serious rhythm. Together, they merge into a silent but shocking symphony.

The fog rising from the coffee cup gradually dissipated, and the streetlights along the asphalt road gradually disappeared. The purple mountains under the night were quiet, and after a few hours, the dawn of the dawn gradually appeared outside the window. The crisp bird songs disturbed, and Lu Zhou gently stopped the ballpoint pen in his hand and gently recited in his mouth.

"In the study of the Wei conjecture including the 'cottage version' Riemann's conjecture, the new mathematical tool étale co-tune method created by Grothendijk has produced tremendous development in algebraic geometry and even in the whole field of mathematics. Promote, and ultimately lead directly to Delière's proof of Weiyi's conjecture."

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

It is like the relationship between the twin prime guess and the Polignac conjecture. The latter is the relationship contained in the former. Although it proves that the former cannot directly lead to the latter's proof, it can enlighten the latter's proof. effect.

This is the case in the field of mathematics.

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

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

[re(s)=1-c/ln[|im(s)|+2](>0)......]

The corner of the mouth gradually evoked a smile, and the dignity of the stagnation in Lu Zhoumei also dissipated a lot.

"To prove that the zero point is all distributed on the zero limit, you can start by excluding the area where there is no zero point! re(s ≤ 0 and re(s) ≥ 1 are known results, as long as you can find a way to advance this conclusion to All areas except the critical line, re(s) 1/2!, can prove the Riemann conjecture!"

"I can start from the right side of the border!"

This proof of idea is also called the critical band method! It is different from the proof that the percentage of zero is on the zero limit. By narrowing the area of ​​the critical band containing all the zeros and finally approaching the critical line, it is the core of the whole proof!

As long as he can shift the right edge of the critical band from re(s)=1 to the left to re(s)=1-e(e>0), the region of re(s)≥1-e is excluded. No matter how small the value of this e is, it can greatly promote the proof of Riemann's conjecture!

The idea is already there, and now I have to solve this problem!

Although it is just an intuition in the dark, this instinct tells him that this puzzle is likely to be in algebraic geometry! Unfortunately, this is also one of his least prolific areas...

"If there is someone who can discuss it, then."

However, just after this idea came out, Lu Zhou shook his head.

Especially Professor Delini...

But unfortunately, some things can be said clearly in the mail. Video calls may be a method, but whether it is the atmosphere or the feeling, it is certainly more suitable for academic exchange than the afternoon tea time of Princeton.

At present, he can only rely on himself.

"Can't rely on others."

However, this is the case. In the end, Lu Zhou couldn’t stand the curiosity of the heart. He opened the computer and landed on the mathoverflow page and searched for a recent topic.

But soon, his face showed a clear disappointment.

Previously hanging the paper on arxiv, he also hoped to play a role in inspiring the jade, and to see some interesting ideas by triggering relevant discussions on mathoverfolw.

But now it seems that his idea is obviously lost.

Even the relatively professional mathematics discussion community, the most influential here is phd, people's nature is also more keen on gossip, rather than solving specific problems.

Although some discussions have focused on the academic field, the content of these discussions is somewhat “outdated”.

"It seems to be closed for a few days."

Stretched a laziness and leaned against the chair. Lu Zhou picked up the mobile phone from the table and sent a text message to Wang Peng. After he was not used to find himself in the past few days, he yawned and went downstairs to go to the bathroom. .

At first, he was counting on what he could grasp with the hint of inspiration at night, even getting a staged result, but unfortunately, the situation was more severe than he had imagined, at least not by virtue of one. A little bit of inspiration and a night's time can be heard.

Now that we have decided to retreat, there is no need to fight for the day and night.

Before starting his formal work, he plans to add the feeling that he did not sleep yesterday.