Scholar’s Advanced Technological System

After successfully wasting time on the balcony and leaving two bills on the pallet of the hotel attendant, the ark immediately went to the parking lot and boarded the black red flag that had been waiting.

“Back to Zhongshan International. ”

“Okay.”

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

Although he had basically spoken for himself when discussing the Lehman zeta function with the woman whose name was a little long earlier, even he had no idea that such a general discussion of bull piano could have inspired him somewhat.

Sitting in the back of the car, there was a silent ark, and suddenly a sentence appeared.

“I don't have the same tools. ”

Wang Peng holding the steering wheel slightly stunned.

“… what tools? ”

“Nothing.”

“Need to go to the supermarket? ”

The ark shook its head with a smile.

“It would be nice if the supermarket had one. ”

The premonition was that if he continued to talk, he would be in a state of duress for the rest of the road. Considering that he was still driving, Wang Peng wisely closed his mouth and stopped talking, focusing his attention on the road ahead.

The location of Zijinshan Hotel is not far from Zhongshan International, but a dozen minutes drive away, the ark soon saw the familiar community gate.

After the car stopped at the door of the house and told me not to come looking for myself tomorrow, the ark went straight home and walked quickly to the stairs.

“It is unrealistic to try to solve the π (x) function in a general way. No 10,000 or 1,000 people have challenged this difficulty in the past century and a half. Even if this idea works, the traditional method must have been considered. ”

“Subversive outcomes often require subversive approaches. ”

“I need new tools! ”

Four-wing drones floated beside each other, rocking along the second floor with the ship.

Since it was not possible to recognize the command contained in the self talk of the ark, the little Ai who followed asked curiously.

“Master? ” (• ̀ ∀ • ́)

“Make me a cup of coffee. Just send it to the study. ”

“But it's so late..." [(° - ° ")]

“It's okay, I wasn't going to sleep tonight. ”

“Good master, but be sure to pay attention to your body.” [(= pωp)]

He pushed his hand through the door of the study, and the ark threw down only three words and walked in quickly.

“Got it! ”

It is unrealistic to want to climb Lehman once to guess that this peak has stood at the top of the mathematical world for too long, and countless people have tried to challenge it, but the vast majority of the time is at the foot of the mountain, so that the latter can find a bunch of signposts pointing to the top of the mountain, but not even a borrowable ladder.

Either way, the original road needs to be repaired before it reaches the top of the mountain.

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

A butt sat at the desk, rubbing all the draft paper piled up in the corner of the table and throwing it into the basket, the ark held out a new pile of draft paper piled up on the table.

Looking at the already stuffed basket and the pile of draft paper that was about to be filled on the table, the corner of the ark suddenly shook a smile and shook its head to speak to itself.

“… this is probably the most economical project I've done in years. ”

Even when proving the Young Mills equation, he wrote to borrow CERN's equipment for several theoretical physics experiments, which cost a lot of money.

But it's like Lehman guessing that pure mathematical problems, I'm afraid it's just draftpaper and brain cells that need to be consumed...

……

For an ark, dedication to a topic seems to have been a long time ago.

Since he became the chief designer of the Moon Orbit Construction Committee, he has played more of an academic leading role and has rarely been caught up in the forefront of scientific research like a regular research dog.

Even so, however, that familiar feeling is not negligible for an ark.

Especially when his whole body and mind were devoted to the issue of paper, that string of Arabic numbers flowing through his pen tips and ancient Greek symbols, like notes of classical music, blended joyful rhythms with serious rhythms into a silent but heart-shaking symphony.

The fog rising from the coffee cup gradually dissipated, the street lights by the asphalt trail gradually went out, the purple gold mountain was quiet at night, and then, from some time later, the morning glow gradually rose outside the window, seemingly disturbed by the crisp birds, the ark gently stopped the ballpoint pen in its hand, gently reading in its mouth.

“Grotendik's new mathematical tool Étale in the study of Way speculation, including the ‘mountain version' of Lehman speculation, has had a tremendous impetus for the development of algebraic geometry and the mathematical field as a whole, and ultimately directly led to Deligne's proof of Way's speculation. ”

“To find a way to the top of the mountain, you must first take the nearest hill… the weak speculation of Lehman's speculation. ”

Just as there is a relationship between twin count speculation and Polynesian speculation, the latter is implicit in the former, which, while not directly leading to the latter, can serve as an inspiration for the latter.

This is what mathematics explores.

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

To think of it, the ark pushed the full draft paper aside and wrote down a line of formulas on the paper.

[Re (s) = 1-cln [| Im (s) | +2] (> 0) …]

The corner of his mouth gradually pulled up a smile, and the condensation between the ark's eyebrows dissipated a lot.

“To prove that zero points are all distributed over the zero boundary, you can start by excluding areas where zero points do not exist! Re (s ≤ 0 and Re (s) ≥ 1 are known results as long as a way can be found to move this conclusion beyond the critical line, i.e. Re (s) 12 and Re (s); 12! You can prove what Lehman thinks! ”

“I can start with the right border! ”

This proof line is also known as the critical zone method! Unlike demonstrating how many percent of the zero points are on the zero limit, by shrinking the area of the critical zone that contains all the zero points, it is ultimately at the core of the entire proof line!

As long as he is able to translate the right boundary of the critical zone from Re (s) = 1 to the left to Re (s) = 1-ε (ε > 0), thus excluding the area of Re (s) ≥ 1-ε, however small the value of this ε can be, it can greatly contribute to the proof of Lehman's guess!

The idea is already there, and now there's nothing left to solve!

Although it's just an intuition in the underworld, this intuition tells him that this puzzle is most likely on algebraic geometry! Unfortunately, this is also one of his least productive areas...

“I wish there was someone I could discuss. ”

However, that idea had just arisen, and the ark shook its head.

Especially Professor Deligne...

But unfortunately, some things are not clear in the mail, and video phones may be a way, but neither the atmosphere nor the feeling is certainly as good for academic communication as Princeton's afternoon tea hour.

So far, he's the only one he can count on.

“Can't rely on others. ”

In the end, however, the ark couldn't hold its curiosity and opened the computer to the Mathoverflow page, searching for recent topics.

Soon, however, a clear disappointment appeared on his face.

Having previously hung that paper on Arxiv, he also looked forward to seeing some interesting ideas by triggering relevant discussions on Mathoverfolw.

But now it seems that his thoughts are clearly frustrated.

Even in the relatively professional mathematical discussion community, the first time people come out here is PHD, and people are more passionate about gossip than about solving specific problems.

While some discussions have also focused on academic areas, the content of these discussions has been somewhat “outdated”.

“Looks like it's going to be closed for a few days. ”

He stretched a lazy waist against the chair, and the ark picked up his phone from the table and texted Wang Peng. After he had stopped looking for himself for a few days, he stood up and went downstairs to the bathroom.

At first, he was counting on what could be captured at night with that hint of inspiration, or even a gradual outcome, but unfortunately the situation was much more serious than he had imagined, at least not with a little inspiration and overnight time.

Now that we have decided to close it down, there is no need to argue about that morning and night of kung fu.

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