Chapter 497 Riemann Hypothesis~
All non-trivial solutions of ζ(s) = 1 + 1/2^s+ 1/3^s+ 1/4^s+...=0 are on the straight line x=1/2.

This is the Riemann Hypothesis.

To explain in Chinese, the real part of all non-trivial zero points of the Riemann function Zeta is 1/2.

After Gauss's research on "the number of prime numbers less than a given value" and Euler's product formula, Riemann derived the Riemann function, established the connection between the Riemann Zeta function and prime numbers for the first time, and initiated modern prime number research. 's door.

Riemann analytically extended the Zeta function to complex numbers, and performed many exquisite transformations and inversions, and finally obtained the precise formula for the prime number calculation function.

Following Riemann's ideas, Adama and de La Vallebusin proved that extraordinary zero points do not appear at the boundary of the critical zone, that is, on the straight line with real parts 0 and 0, but can only appear at the boundary of the critical zone. Internally, this proves the prime number theorem.

However, the Riemann Hypothesis has not been solved.

Riemann himself only wrote 8 pages in the paper where the "Riemann Hypothesis" appeared, mentioning this conjecture and listing many proof formulas, but the most critical points were all omitted.

Sometimes, mathematics is so magical. Some extremely exquisite formulas seem to be created by the Creator and then written down by some talented mathematicians in one fell swoop.

As for why the formula is like this, these genius mathematicians themselves don't know and can't prove it.

"L(1,x)>c1(logD)-2022..."

Mr. Yang himself said that he couldn't prove it!

Zhao Mo doesn't think Riemann is any better than Mr. Yang, so the media's bragging should be regarded as fart.

Zhao Mo naturally didn't know about the arrival of his assistant. All his consciousness was already immersed in the ocean of mathematics.

Each time a line is drawn, a formula is listed next to it, along with the extensions and topology of that formula.

Ramanujan of Asan Kingdom is the most typical example. Many times it is said that he dreamed about it.

The sky is gradually getting dark~
Zhao Mo's consciousness did not realize this. It was not until the sky gradually darkened that he could no longer see clearly what was on the paper. Then he stood up and turned on the light, but this action did not pull his consciousness away from his thoughts. When you come out, everything is unconscious, like the instinctive movements of the body.

Cai Bin came over, opened the door quietly and took a look. He saw that Zhao Mo was writing furiously and didn't notice his arrival at all. The only sound in his ears was the rustling sound of writing, and he couldn't even hear the sound of breathing. He was suddenly startled, knowing that Zhao Mo's research had reached a critical moment, so he closed the door again and stood guard at the door of the office to prevent outsiders from disturbing him.

The Yang-Mills equations were jointly written by Yang Lao and Mills, but they are still alive. Can they prove it?
No!

"ζ(s)=∞/∑/n=1*1/ns=1/ns+2/ns..."

After returning to Wudaokou, Zhao Mo immediately locked himself in the office, took out paper and pen, and started his calculations.

The same is true for the Riemann Hypothesis. Riemann himself has not proved it and cannot prove it.

……

A coordinate system was drawn, and the pen in his hand moved like flowing water, drawing circles one after another around the coordinate system. There were circles and ellipses. The lines rotated around them, gradually outlining a huge and extremely beautiful curve. structure……

"Here, the known Dirichlet characteristics~"

“……L(σ,x)≠0 forσ>1-c2(logD)-19(loglogD)-1.”

……

As for what many media said, Riemann himself knew how to prove it, but he made a joke with the world by not writing out the proof process and letting future generations guess by themselves. This is completely nonsense!

After a pause, the thoughts in Zhao Mo's mind kept pouring out, and they were kept on the paper through the pen in his hand, appearing in this world, seemingly endless, and without any obstacles.

"Chaotic, irregular, but transcendent..."

"The zero point is β∈(1-c/logD, 1)..."

"Is this an artificial intelligence robot?"

At 9:30 p.m., in the office of the dean of the Department of Mathematics, Zhou Zuojian, who had finished his work, had time to watch the live video replay of the lunar rescue. When he saw that the humanoid robot completed the return capsule repairs with great flexibility and safely transferred the three astronauts to The spacecraft then returned to the return capsule on its own initiative, and fell to the moon with the return capsule. He was stunned.

The intelligence of the robots in the video really shocked him.

If this video was not a replay of a live broadcast, he would definitely think that this video was fake, a science fiction movie shot in a studio.

Now that the facts were in front of him, he had to believe it.

Then, he sincerely admired and shocked the vast number of scientific workers, engineers, and laborers at the development speed and current level of domestic industrial capabilities.

Of course, what I admire even more is the Artificial Intelligence Research Center that creates artificial intelligence.

"That guy Zhang Huamao is a person who will go down in history!"

Zhou Zuojian couldn't help but feel a little jealous, jealous that Zhang Huamao had snatched that good job.

There is no doubt that Zhang Huamao will definitely leave a mark in the history of the development of science and technology of us and even the entire human race, much higher than him.

As Zhao Mo's de facto teacher, it is inevitable that his name will go down in history, but mostly he only serves as Zhao Mo's background. Unlike Zhang Huamao, although artificial intelligence technology is the effort of all personnel, as the person in charge, Zhang Huamao definitely receives the most honors and attention.

Fortunately, he doesn't care about this. Now he just wants to do a good job and make the PBC Mathematics Department the best in the country and even the world as much as possible before leaving office. At the same time, he will make the "Zhao Mo Mathematics Research Center" and "Professor Qiu Mathematics Research Center" Center" these two mathematics research centers have become world-class mathematics research places, surpassing Princeton in America.

After turning off his phone, Zhou Zuojian thought of Zhao Mo: "By the way, now that the rescue is complete, Zhao Mo should be back, right?" His job is largely to assist Zhao Mo and do administrative management. The job provides Zhao Mo with a free research environment. After all, the higher and more Zhao Mo achieves, the easier it will be for him to achieve his work dream.

With this in mind, Zhou Zuojian simply stood up, walked out of the office with his hands behind his back, and went to find Zhao Mo.

Slowly walking through the teaching building and corridor, he soon arrived near Zhao Mo's office.

"Director~"

Cai Bin, who was squatting outside the door, saw his arrival and quickly stood up to say hello.

Zhou Zuojian said "hmm" and walked to the door of Zhao Mo's office. He saw that the door of the office was closed and the light was coming from the window, so he looked out of the window and looked inside.

Zhao Mo's figure crouching at his desk and writing quickly appeared in his sight.

"Retreat?"

Zhou Zuojian looked happy and did not go in. Instead, he quickly asked Cai Bin: "When did he come back? How long has he been like this?"

Cai Bin replied: "I came back near noon, and I started writing as soon as I came back, and I have been writing until now."

"It's been nearly ten hours~"

Zhou Zuojian looked at his watch and muttered to himself.

According to past experience, Zhao Mo has the answer and is heading straight for the result. It won't be long before the results will be born.

With Zhao Mo's current height, most of the problems that allow him to devote all his energy to research are those world-class problems, even problems that are more difficult than the Yang-Mills equations.

He really wanted to wait here like Cai Bin, waiting for Zhao Mo's results to come out and see them first.

It's a pity that he is older and can't stay up late like young people, and he can't stay up anymore.

So after waiting for about ten minutes, he told Cai Bin: "Professor Zhao's results are out, call me as soon as possible."

"Ok!"

Cai Bin quickly agreed.

Zhou Zuojian then nodded and went back reluctantly.

When leaving, he looked back three times, as if he would miss it if he walked away.

Seeing his reaction, Cai Bin didn't know whether to laugh or cry. He thought to himself: "I didn't expect the director to have such a funny side!"

What he didn't expect was that after Zhou Zuojian, many people came over to take a look, including Professor Yang Jing, Dr. Li Yu, and even the principal who was about to get off work. They all asked Zhao Mo how long he had been in this state?

Cai Bin was confused by their arrival and thought to himself: "Weren't we so diligent before?"

So, he couldn't help but ask Dr. Li Yu when she came over: "What happened today?"

Li Yu coughed and replied: "I was just too excited to watch the moon rescue, so I wanted to come over and have a chat with the teacher. I have no other ideas. Since the teacher is doing important research, I won't disturb you." After that, He left as if running away.

"Okay, Moon Rescue~"

Cai Bin laughed and shook his head.

Judging from the facts, the lunar rescue was indeed too exciting, and the level of technology displayed was too amazing. It is no wonder that they came to talk to the "initiator" Zhao Mo.

In this era of drastic changes, if you come out of seclusion for a day or two and read the information, you will have a strong feeling of being abandoned by the times.

In this state, everyone wants to find a Dinghai Divine Needle and get close to it to stabilize their panic.

There is no doubt that Zhao Mo, who is at the forefront of scientific research, is the mainstay of Wudaokou and the country!

Isn't this the case with himself?

In the early hours of the morning, he changed shifts with others.

The next morning, Cai Bin came over early and handed over his shift to the night watchman. While eating breakfast, he handled work and was responsible for preventing others from disturbing Zhao Mo.

After a while, he saw Director Zhou Zuojian running over again.

"How's it going? Are you out yet?"

Zhou Zuojian asked angrily.

Cai Bin couldn't help laughing and said: "Director, not yet."

Zhou Zuojian immediately returned disappointed. Cai Bin could still hear his smacking of lips: "Why haven't you come out yet? You're almost worried about me! Shouldn't you?"

Then, Cai Bin heard the news that the whole Wudaokou was talking about Professor Zhao's important results that were about to come out, which would soon shock the whole world...

(End of this chapter)

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