207.

When the little arithmetic boy was playing with the ghost idea, Cheng Li was at the foot of the mountain that Riemann guessed, and he was doing the most difficult thoughts with countless falling rocks

"How do you prove the Riemann conjecture?"

"The Riemann ζ function is really difficult!"

Cheng Li felt a little crazy.

The Riemann ζ function is the Riemann Zeta function.

The Riemann Zeta function is one of the core keys to the Riemann conjecture.

However, in the field of mathematics today, people probably do not know as much about the Riemann Zeta function as they did in the past.

If Riemann had not died at the age of 39 if he had not died of tuberculosis at that time, it might have been possible for him to solve the Riemann hypothesis.

In fact, Riemann's greatest achievement in his short life was not in number theory related to prime numbers, but in the field of differential geometry.

The Riemannian geometry he created was the mathematical foundation for general relativity decades later, and without Riemannian geometry, general relativity would have no mathematical language and mathematical foundation.

Riemann, on the other hand, has only published one paper in the field of number theory, which is his paper "On the Number of Prime Numbers Less Than a Given Value".

This paper is very short, only four pages.

Compared with those papers that often have dozens or hundreds of pages, it can be said to be very concise.

However, it is this short four-page paper that deduces many important formulas and results with great clarity and conciseness, and puts forward the Riemann conjecture that shocked the world.

This makes the four-page treatise "On the Number of Prime Numbers Smaller than a Given Value" considered one of the most important papers in the field of prime numbers and even number theory.

It's absolutely amazing creativity.

In fact, Riemann was definitely the most mathematically creative, if not the most mathematically gifted man ever seen.

During Riemann's short life, he published only 10 papers.

It can be said that he is the most prolific person among the top mathematicians.

However, almost every one of his 10 papers opened up a whole new field of mathematics.

Therefore, it is not an exaggeration to say that he is the most creative person among all mathematicians in the history of mathematics.

With Riemann's creativity, if he had lived to be 70 years old, then perhaps there would have been no Riemann conjecture, which he had already solved by himself!

In that case, the mathematical level of human beings on the earth will probably have a qualitative leap as Xiao Shutong said.

And Cheng Li doesn't have to rack his brains to meditate like this now.

However, there are no ifs in history, so Cheng Li can only think hard about answering the question of the Riemann conjecture.

"Think in terms of harmonic progression?"

"No, no, no, harmonic series is just a more general form of the zeta function, a special case of the zeta function ζ(s), and cannot be used as a generalized proof idea......"

"What about it from the point of view of Euler's product formula?"

The connection between Zeta functions and prime numbers was first discovered by Euler, who derived Euler's product formula from it.

Euler's product formulation states the striking connection between the zeta function and prime numbers, thus laying the foundation for modern prime number theory, which uses the zeta function ζ(s) as a method for studying prime numbers.

Based on this, Riemann proposed the Riemann conjecture.

"No, there is nothing wrong with the proof derivation of the Euler product formula itself, it is strictly proven. But if we want to prove the Riemann conjecture itself through Euler's product formula, we have to think of other methods......"

"With the Möbius function?"

"Prime counting function?"

"The prime number theorem?"

"Log-integral functions?"

"Gamma functions?"

"Or start from the perspective of the Riemann Xi function without a singularity?"

......

Cheng Li kept thinking about it, and kept making drafts on the light sand.

He was already a cultivator at this time, and his quick thinking and hand speed were far beyond the reach of ordinary people.

In just one minute, he had thought of many ways to try to prove Riemannian geometry.

The hands are like octopuses, flying on the sand, and dense formulas and derivations have been written.

However, in the end, all of them were marked with a big X by Cheng Li.

"No...... It still doesn't work......"

"That won't work!"

"None of them!

"How do you prove the Riemann conjecture?"

"Proof from the domain of a function?

"No, this only proves part of the Riemann conjecture.

"The core of the complete Riemann conjecture is still in the number domain!"

Cheng Li felt that his brain was about to explode, he pulled his hair and grabbed his hair into a chicken nest.

At this time, the little boy "snapped" and suddenly appeared in front of him.

"Hee-hee, looking at how painful you are now, are you going to give up? It's been 5 minutes!"

Cheng Li ignored Xiao Shutong at all, still focusing on his own thinking, and kept writing and drawing on the light sand.

"I'm not going to give up. ”

Xiao Shutong still smiled and said: "Give up, it's useless, you definitely can't answer this question, and those people on Qingling Island have nothing to do with you." As far as I know, you've only been in this world for 11 days, right?"

"It doesn't matter, it has nothing to do with you! Please don't quarrel with me and hinder my thinking! I won't give up until the last second!"

Xiao Shutong was not angry at all in the face of Cheng Li's reprimand, but said happily.

"Oh, it's really backbone, but it's a pity that I originally wanted to help you and give you a little hint, since you're so backbone, forget it. ”

After speaking, Xiao Shutong turned around and looked like he was leaving.

At this time, Cheng Li stopped the little arithmetic boy.

"Wait a minute. ”

Cheng Li is a pragmatist, so he doesn't care about face, discipline, and without hesitation, he stopped the little arithmetic boy and said eagerly.

"What did you just say? You want to give me a hint? Say what hint you have!"

Xiao Shutong waved his hand and said: "I'm joking with you, I am the instrument spirit of the arithmetic tablet, the guardian of the rules, how can I enforce the law! ”

Xiao Shutong looked like Cheng Li was about to go crazy, and hurriedly continued: "But it's ......"

"But what?" Cheng Li said with a dark face.

"However, as I said before, you have come to the 3000th floor, within the scope of my authority, I can let you additionally call a certain part of the function of the Arithmetic Monument, and let you see the situation on Qingling Island before, which is one of them~"

"However, a certain part of the function of the arithmetic monument is, of course, not only to check the outside world.

"There are some very useful features in this!"

Cheng Li couldn't help but hurriedly said, "What is the function of that, can it help me?"

Xiao Shutong smiled: "Of course there is, one of the most practical functions is that the time flow rate changes!"

"Time flow rate change?!" Cheng Li's eyes lit up.

"That's right, the Arithmetic Tablet can make the internal time flow ten times faster than the outside world!

"That's so good! Then you didn't say it earlier!Hurry up and use it!" Cheng Li said anxiously.

Seeing this, Xiao Shutong said with disdain: "You don't want to think about it, how can such an anti-heaven function be used casually? Of course, you have to pay some price!"

"Didn't I remember you saying before, no matter what the cost, you have to solve this problem?

"Well, now it's time to satisfy you.

"As long as you can give half of your lifespan, you will be able to activate the function of changing the time flow rate of the arithmetic monument!"

"How about it, are you willing to give half of your life for those people on Qingling Island?" said Xiao Shutong with a smile.