After spending time on the balcony and leaving two bills on the waiter's tray, Lu Zhou immediately went to the parking lot and got on the waiting black red flag.

"Back to Zhongshan International."

"OK."

Wang Peng, sitting in the driver's seat, nodded his head and quickly started the car and drove on the road.

Although he talked about the Riemannian zeta function with the woman with a long name in the past, he basically said it on his own, but what he didn't even think of was that this kind of discussion on playing the piano to the ox could give him some inspiration.

Sitting in the back of the car, I was silent all the time. Suddenly, a word came out.

"I'm short of one tool."

Wang Peng, holding the steering wheel, was slightly stunned.

“…… What tool? "

"Nothing."

"Do you need to go to the supermarket?"

The boat smiled and shook its head.

"If only the supermarket had something to sell."

I had a premonition that if I let him continue, I was afraid that I would be in a state of stupor all the rest of the way. Considering that I was still driving, Wang Peng wisely closed his mouth and stopped talking, and focused on the road ahead.

The location of Zijinshan hotel is not far from Zhongshan International, but within ten minutes' drive, Lu Zhou soon saw the familiar gate of the community.

The car stopped steadily at the door of the house, and after explaining that it would not be used to find itself tomorrow, Lu Zhou went straight back to his home and walked quickly to the stairs.

"It's not very realistic to solve π (x) function by general methods. There are not 10000 people who have challenged this problem in the past half century, but there are also 1000 people who have challenged this problem. Even if this idea works, the traditional methods must have been considered."

"Disruptive results often require disruptive solutions."

"I need new tools!"

The four rotor UAV whimpered beside it and followed the boat up to the second floor.

Unable to recognize the command contained in Lu Zhou's self-talk, AI asked curiously.

"Master?" [(??)]

"make me a cup of coffee. If you want instant coffee, just send it to my study."

"But it's so late..." [(° ー)]

"it doesn't matter. I didn't plan to go to bed tonight."

"Good master, but please pay attention to your health." [(=? ω?)

reached out and pushed open the door of the study. The boat threw down three words and walked in quickly.

"I see!"

It's unrealistic to imagine this Everest if you want to climb it once. This Everest has been standing at the top of the mathematical world for a long time, and countless people have tried to challenge it. But most of the time, it revolves at the foot of the mountain, so that although the latecomers can find a lot of road signs pointing to the top of the mountain, they don't even have a ladder to draw on.

No matter what kind of proof thinking is adopted, the initial road must be repaired before reaching the top of the mountain.

At least, let him see the hope of proof

One fart. Gu sat at the desk and crumpled all the draft papers piled in the corner of the desk and threw them into the basket. The boat picked up a new stack of draft papers and piled them on the desk.

Looking at the paper basket that has been filled, and the pile of draft paper that is about to be filled on the table, the corner of Lu Zhou's mouth suddenly raised a smile, shaking his head and saying to himself.

“…… It's probably the cheapest project I've ever done in years. "

Even in proving the young mills equation, which relates strong interaction force and electromagnetic force, he wrote and borrowed CERN's equipment to do several theoretical physics experiments, which also cost a lot of money.

But for a pure mathematical problem like Riemann's conjecture, I'm afraid it's only rough paper and brain cells that need to be consumed

……

For the land boat, it seems to have been a long time ago to devote myself to the research of a subject.

Since he served as the chief designer of the moon orbit construction committee, he has played more of the role of academic leader, and rarely, like the general research dog, he has been in the forefront of scientific research.

However, even so, the familiar feeling is not unfamiliar to the land boat.

Especially when he devoted himself to the problems on the paper, the strings of Arabic numerals and ancient Greek symbols flowing from his pen tip, just like the notes of classical music, integrated the happy rhythm and serious rhythm into a silent but shocking symphony.

The rising fog of the coffee cup gradually dissipated, the street lights beside the asphalt path gradually went out, the purple and Gold Mountains in the night were quiet, and then I didn't know a little time later, the dawn light came out of the window, which seemed to be disturbed by the sound of clear birds. The boat gently stopped the ballpoint pen in its hand and said softly.

"In the study of Wei's conjecture, including the" Shanzhai version "Riemann conjecture, the new mathematical tool é tale cohomology method created by grotengdick has greatly promoted the development of algebraic geometry and even the whole mathematical field, and ultimately led directly to the proof of Wei's conjecture by deline.""If you want to find the way to the top of the mountain, you have to take the nearest top first The weak conjecture of Riemann conjecture. "

Just like the relationship between the twin prime number conjecture and the polyniac conjecture, the latter is contained in the former. Although it is proved that the former can not directly lead to the latter's proof, it can play an enlightening role in the latter's proof.

So it is in the field of mathematics.

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

Think of here, land boat will write full draft paper to push aside, write a line of arithmetic on the paper.

【Re(s)=1-c/ln[|Im(s)|+2](>0)…… ]

a smile gradually appeared on the corner of the mouth, and the heavy weight between the eyebrows of the boat also disappeared.

"If you want to prove that all zeros are distributed over the zero limit, you can start by eliminating the area where there is no zero! Re (s) & lt; 1 / 2 and re (s) & gt; 1 / 2 are known results, as long as we try to push this conclusion to all areas beyond the critical line! You can prove the Riemann conjecture! "

"I can start with the right border first!"

This proof idea is also called critical band method! Different from the proof of how many percent of the zero point is at the zero limit, the core of the whole proof idea is to reduce the area of the critical band containing all the zero points and finally approach the position of the critical line!

As long as he can translate the right boundary of the critical zone from re (s) = 1 to re (s) = 1 - ε (ε > 0), so as to exclude the region of re (s) ≥ 1 - ε, no matter how small the value of ε is, it can play a huge role in promoting the proof of Riemann conjecture!

Now that we have ideas, we have to solve this problem!

Although it's just a kind of intuition in the dark, but this intuition tells him that this puzzle is likely to be in algebraic geometry! Unfortunately, this is also one of his most unproductive areas

"If only there were someone who could discuss it."

However, as soon as the idea came into being, Lu Zhou shook his head.

In particular, Professor deline

But unfortunately, some things can't be explained clearly in the email. Video phone may be a way, but no matter the atmosphere or feeling, it's certainly not more suitable for academic communication than the afternoon tea time in Princeton.

At present, he can only rely on himself.

"Don't rely on others."

However, in the end, the land boat couldn't stand the curiosity in my heart. I opened the computer and logged into the mathover flow page to search for the recent topics.

But soon there was a clear disappointment in his face.

Previously, he hung the paper on arXiv, hoping to play a role in attracting valuable contributions. He could see some interesting ideas through the discussion on mathover folw.

But now it seems that his idea is clearly lost.

Even in the relatively professional mathematical discussion community, the most frequent occurrence here is PhD. People are naturally more interested in gossip rather than solving specific problems.

Although there are also some discussions focused on the academic field, some of the contents of these discussions are too "outdated".

"It looks like we've been closed for a few days."

Stretched out and leaned on the chair. Lu Zhou picked up his mobile phone from the table and sent a message to Wang Peng. He didn't use it to find himself these days. Then he yawned and went downstairs to the bathroom.

At first, he expected to grasp something at night with a little inspiration, and even get a phased result. Unfortunately, the situation is much more serious than he imagined, at least not with a little inspiration and a night's time.

Now that we have decided to close the door, there is no need to fight for the whole day.

Before starting his formal work, he plans to make up for the sleep he didn't sleep yesterday