Great Country Academician

The sudden inspiration made Xu Chuan swallow the cold medicine in his hand in one gulp. The warm and slightly bitter medicine in the cup now became extremely sweet, refreshing like a glass of honey water.

Putting down the cup in his hand, he took out a stack of paper and pens from the drawer, spread them out on the table and began to calculate.

He has solved the weakened form of the Weyl-Berry conjecture, but it does not mean that the difficulty of proving the Weyl-Berry conjecture becomes easier.

This is like the weak Goldbach conjecture was solved by two mathematicians in May 2013, but today is November 15, and more than two years have passed, but brother The complete proof of Debach's conjecture is still far away.

Xu Chuan also doesn't think he can solve the Weyl-Berry conjecture in a short time after proving the weakened form of the Weyl-Berry conjecture.

Even if he has some mathematical knowledge from his previous life, even if he has solved the weak Weyl-Berry conjecture, he doesn't think he can solve the complete Weyl-Berry conjecture within a year or two.

But mathematics is something that sometimes really depends on inspiration.

When the inspiration is not enough, it's like writing a novel without a new chapter. The constipation can't be written for a month.

Inspiration comes, and when the basic knowledge is solid enough, you can quickly solve one problem after another.

The black signature pen in his hand continuously outlines characters one by one on the white A4 paper.

".Starting from Weyl's theorem 3.2, construct a bounded and connected open set Ω, let Ω be a bounded connected region in R (n≥2) that satisfies the above condition (C), and its boundary has inner Minkowski dimension δ∈ (n-1, n), then there is λ→+∞, and there are:

N(λ)-(λ)≤-Cn, δ(λ/π)δ/2Pn(t+o(1))+o(δλ/π)

Here Pn(t) is the function expression of the 3.2 theorem.

Proof: If Neuman boundary conditions are added to the notches (or holes) of each side of the open square Qκξ, while other places still maintain optimal Dirichlet boundary conditions, then the corresponding counting function is recorded as N(λ, Qκξ).

So we have: N(λ)-(λ)≤∑∞/k=0#

In the early stage of inspiration, Xu Chuan wrote like a god, and soon defined the fractal dimension and spectral invariant of fractal measure of Weyl-Berry conjecture to a high-latitude boundary.

Then

Then he stuck, living up to expectations.

Gauss's "Arithmetic Research" originally taught him to decompose the auxiliary equation of the centroid equation through the expansion of the field, and it also made him think of using the Dirichlet function field to convert the Laplacian operator and the Laplacian double curved equation.

However, he has not studied the expansion of domains and how to convert functions into subgroups and establish connections with intermediate domains and sets. He did not learn this knowledge in his previous life, and he has not had time to go to university for less than a semester in this life. Learn these.

So now he has no idea, but the basic mathematics in his mind can't support the calculation of this idea.

After staring at the manuscript paper full of calculation formulas for a long time, Xu Chuan finally threw the signature pen in his hand on the table, leaned back, and stared at the somewhat gray roof in a daze.

This kind of problem-solving idea, but the basic ability cannot complete the calculation, probably will appear in a freak like him.

After all, normally speaking, if the basic ability is not enough, there is no way to come up with any problem-solving ideas.

But he is different. Although his studies in Princeton in his previous life were mainly focused on physics, Princeton is a resort for mathematics after all.

With the accumulation of the sun and the moon, you will eventually come into contact with a lot of mathematics. It is just that these mathematical knowledge are only superficial and have not gone deep into the essence.

This also caused him to encounter the same problem in his previous life and this life, that is, when conducting research on certain mathematical problems, he could rely on extremely extensive knowledge to come up with some ideas and insights or ideas for solving problems, but there was no correspondence in his mind. The basic knowledge, and then can not be perfect.

For example, the turbulence problem in the controllable nuclear fusion in the previous life, and the Weyl-Berry conjecture in this life are both.

After temporarily giving up on continuing to prove the Weyl-Berry conjecture, Xu Chuan tidied up the manuscript paper on the table, stuffed it into a drawer, and then got up to eat breakfast.

He is not planning to go to class today. Although there are physics and mathematics main classes on Monday, his body has not fully recovered yet.

After taking the medicine and sleeping last night, it is indeed much better. The headache is gone, but the sequelae of the cold, such as some symptoms such as soft legs and muscles, may not go away for a while.

Illnesses come and go like a mountain, and go away like silk, which is normal.

After breakfast, Xu Chuan neither went to class nor to the library, but was going to go for a walk to relax himself.

It is a long process to engage in scientific research and study. After all, people are not made of iron, and they have to combine work and rest.

As for where to go, of course it is the observatory in the Xianlin campus. It is on the mountain, there are few people, and the air is fresh.

Although it is now the end of November in the lunar calendar, there is no good scenery on the mountain, but the dead leaves on the mountain are another kind of scenery.

But before he could take a few steps, the students on the road saw him, and all cast their eyes on him, and occasionally whispered to his companions.

Not only that, but two schoolgirls' eyes lit up when they saw him, and they trotted over.

"Excuse me, are you Xu Chuan's senior?"

The two freshman undergraduates looked at him expectantly with bright eyes, Xu Chuan nodded in confusion, he didn't understand what happened.

Not only now, but also when he went to have breakfast just now, he encountered students who were staring at him so strangely, which made him very uncomfortable.

"Great, can senior sign for us?"

"Just sign this math book."

Before Xu Chuan could speak, one of the two school girls stuffed the pen into his hand.

Although he didn't understand what was going on, and he didn't know why someone asked him to sign something like this, Xu Chuan still signed his name on the math book according to the requirements of the two school girls.

"It's great, with the blessing of my seniors, I will definitely pass this generation test!"

"Thank you, senior."

The two schoolgirls thanked each other and ran away with their math books in their arms, leaving behind Xu Chuan who was confused and didn't know what happened.

Looking back, Xu Chuan shook his head and continued walking towards the observatory.

"Brother Chuan, your old man is actually here!"

Before he could take two steps, an excited voice came from beside him, and the three figures ran over quickly.

They were roommates from his previous life, one named Fan Hong, one named Zhou Lin, and the other named Kong Zhong.

Although they never lived in the same dormitory in this life, they were still in the same class and often took physics classes together, so they got to know each other again under Xu Chuan's special dealings, and they got along well.

After all, they are all boys, chatting lol, cf and so on can quickly get acquainted.