From university academician to chief academician

Chapter 243 Global attention, proving the generalized Riemann hypothesis

Huya Live Room!

[Fuck...this proves it. 】

[Although I don’t understand it at all, I still admire Ye Fei, he is so awesome. 】

[This is a world-class genius. I found that when I look at Ye Fei every day, my IQ has increased. 】

【So damn awesome! 】

[Japanese... It would be great if this was my son. I would treat him as my ancestor every day, and I could call him daddy. 】

[Ye Fei’s parents saved the entire universe, right? 】

【……】

Safet looked at Ye Fei with a trace of deep jealousy in his eyes. Looking at Ye Fei's face, he wanted to kick Ye Fei off the stage.

He took a deep breath, calmed down, and thought to himself: "Hmph... So what if you prove the distribution of prime numbers, you still haven't been able to prove the generalized Riemann hypothesis."

"Although the distribution of prime numbers and the generalized Riemann hypothesis are both world-wide mathematical problems, there is a huge gap between them in terms of difficulty and influence."

"If the difficulty and influence of the prime number distribution is one, the difficulty and influence of the generalized Riemann Hypothesis is five."

"And I have found the direction of proof of the generalized Riemann Hypothesis."

At this moment, Ye Fei was thinking about the proof process of the generalized Riemann Hypothesis.

When the distribution of prime numbers was proved, the last piece of the puzzle of the generalized Riemann hypothesis was put together.

After thinking for a long time, Ye Fei felt that his thinking seemed to be a little unclear, and thought to himself: "I should verify it to see if it is correct."

After saying that, Ye Fei turned around and picked up the cloth hanging next to the whiteboard, erased all the proof process of prime number distribution, then picked up a pen and wrote the proof process of the generalized Riemann Hypothesis on the whiteboard.

Everyone looked at Ye Fei in shock.

"What is Ye Fei doing?"

"Isn't the distribution of prime numbers proved? Why did he start writing again?"

“Hasn’t the distribution of prime numbers been proven successful?”

"It's impossible. I feel like the proof process is correct!"

"This... what is he writing? It doesn't seem to be the distribution of prime numbers!"

"Huh?" Safet frowned and looked at Ye Fei in confusion, thinking: "He started writing again. What is he writing about? The distribution of prime numbers has been proven!"

Whether they were in the audience, on the stage, or in the live broadcast room, they all looked at Ye Fei in astonishment as he wrote as if there was no one around.

Qiu Chengtong asked: "Academician Ye, what are you writing?"

Ye Fei said without looking back: "We are proving the generalized Riemann hypothesis!"

One word can create a wave of waves!

Everyone exclaimed.

"What? He wants to prove the Generalized Riemann Hypothesis? Didn't he just prove the distribution of prime numbers? Is this going to prove the Generalized Riemann Hypothesis?"

"The generalized Riemann hypothesis is very difficult. I think Ye Fei should have some ideas and conduct some verification. It does not necessarily have to prove the generalized Riemann hypothesis."

"It should be so!"

"This... this is too sudden. This will prove the generalized Riemann hypothesis."

"I haven't understood the distribution of prime numbers yet, and Ye Fei wants to prove the Generalized Riemann Hypothesis, which is much more difficult than the distribution of prime numbers. Can't he let my brain rest for a while? I feel like the CPU in my brain is not enough."

"..."

Safit looked at Ye Fei in shock, and then thought that Ye Fei had just proved the distribution of prime numbers.

Safet said disdainfully: "You are a clown, and you still prove the generalized Riemann hypothesis. I guess you haven't even found the direction to prove the generalized Riemann hypothesis!"

Safit doesn’t believe it anyway. Ye Feigang can prove the generalized Riemann hypothesis by proving the distribution of prime numbers.

The difficulty of the generalized Riemann hypothesis is the same as the difficulty of the Landau-Siegel zero-point hypothesis.

For nearly two hundred years, countless mathematicians have tried to prove the Generalized Riemann Hypothesis and the Landau-Siegel Zero-Point Hypothesis, but have failed to prove them successfully.

Zhang Yitang has been studying them for decades, but he is still far from success.

Zhang Yitang and Mochizuki Shinichi looked at each other in surprise, then looked at Ye Fei who was writing on the stage.

Zhang Yitang said in disbelief: "He can't really prove the generalized Riemann hypothesis!"

Mochizuki Shinichi hesitated and said: "It should be impossible!"

"After all, this just proved the distribution of prime numbers!"

Zhang Yitang's mood at the moment was very complicated. He wanted Ye Fei to prove the generalized Riemann hypothesis, but he also didn't want Ye Fei to prove the generalized Riemann hypothesis.

After all, the Generalized Riemann Hypothesis and the Landau-Siegel Zero-Point Hypothesis are two opposite conjectures.

Only one of the two can exist.

If the generalized Riemann hypothesis proves successful, then the Landau-Siegel zero-point conjecture does not exist.

On the contrary, the Landau-Siegel zero-point conjecture is proven successful, and the generalized Riemann hypothesis is wrong and cannot be proven successful.

Zhang Yitang has spent decades working on the Landau-Siegel zero-point conjecture.

Naturally, he really didn't want the Landau-Siegel zero-point conjecture to exist.

Then, only the generalized Riemann Hypothesis cannot be proven successful.

Zhang Yitang looked at Ye Fei's back on the stage with complicated eyes and thought to himself: "But... Ye Fei is a scholar trained by Xia State. I hope Ye Fei goes further and further."

Although Zhang Yitang is a Chinese-American, he still cares about his motherland.

I hope Xia Guo gets better and better.

Douyu Live Room!

[Holy shit, Ye Fei wants to prove the Generalized Riemann Hypothesis. This... I don’t even know what to say. I can only say shit. 】

[I hope Ye Fei succeeds, that is the generalized Riemann hypothesis! 】

[Let me explain to you, what is the relationship between the generalized Riemann Hypothesis and the Riemann Hypothesis? 】

[The generalized Riemann hypothesis is a simplified version of the Riemann hypothesis. Proving the generalized Riemann hypothesis is not far from proving the Riemann hypothesis. 】

[Go ahead, you’re so awesome! 】

[Ye Fei is hoping to win the Fields Medal! 】

[Proving the generalized Riemann Hypothesis cannot win the Fields Medal, but proving the Riemann Hypothesis will definitely win the Fields Medal. 】

【Awesome! 】

【……】

At this moment, the news that Ye Fei is proving the generalized Riemann Hypothesis is spreading around the world.

It quickly became a trending topic on the Internet, which attracted many people who had not watched the live broadcast to watch the live broadcast.

Many people in the academic world are also exchanging news. Many people put down their work and watch Ye Fei's live broadcast.

Zhonghu University, Vice Dean’s Office!

Lu Yishan is drinking tea and reading in the office.

His life has been getting more and more comfortable recently.

Ever since Ye Fei developed the chip, he felt that he should not just do research, but also enjoy life sometimes.

Therefore, he now only spends three-quarters of his energy on research, and the remaining time is spent drinking tea and reading.

At this time, Liu Yisheng's cry came from outside.

"Lao Lu, Lao Lu, something big happened."

Liu Yisheng shouted and rushed into Lu Yishan's office.

Lu Yishan slowly put down the book in his hand, took a sip from the teacup beside him, then looked at Liu Yisheng and asked, "What can happen?"

"Are there any students fighting in the school? Or were some students arrested when they went to the club?"

"Don't come to me about this matter. If a student fights, go to the security guard. If you are arrested in the club, go to the education office."

Liu Yisheng said anxiously: "Where is this? Look at this."

Liu Yisheng said as he took out his mobile phone, opened the Huya live broadcast he downloaded a few minutes ago, and then clicked on the live broadcast of the Eurasian Academy of Sciences Conference on the homepage.

Placed it on the table in front of Lu Yishan, he pulled up a stool and sat aside to watch the live broadcast with Lu Yishan.

"Huh?" Lu Yishan was surprised for a moment, then smiled: "Why is my student Ye Fei up there? It seems like he is doing some research in this environment!"

"Hey... there are so many foreigners, must this be Academician Qiu Chengtong!"

"Are you attending some event?"

With Lu Yishan's ability, he is not qualified to join the Eurasian Academy of Sciences.

Ye Fei didn't tell him that he was going to attend the Eurasian Academy of Sciences conference.

Therefore, he did not know what kind of activity it was.

Liu Yisheng said: "This is the Eurasian Academy of Sciences conference."

"The conference of the Eurasian Academy of Sciences!" Lu Yishan said with some envy: "This guy is getting more and more promising. Only academicians of the Eurasian Academy of Sciences can join."

"Hey..." Lu Yishan sighed and said: "I am not qualified to join in this life, but it is good that my student can join. He joins on my behalf, which is equivalent to me joining too."

Liu Yisheng glanced at Lu Yishan. Lu Yishan had become increasingly thick-skinned in the past two years and often said that Ye Fei was his student.

I wish the whole world would know that Ye Fei is Lu Yishan's student, and Ye Fei's mentor is Lu Yishan.

Liu Yisheng said: "Ye Fei is proving the generalized Riemann hypothesis."

Lu Yishan said: "Oh, the generalized Riemann hypothesis!"

"Well..." Lu Yishan was stunned for a moment, then turned to look at Liu Yisheng in shock, and said in disbelief: "What did you say? He is proving the generalized Riemann hypothesis?"

"Yes!" Liu Yisheng said.

Lu Yishan said: "Are you sure? You're not kidding, that's the generalized Riemann hypothesis!"

"The generalized Riemann hypothesis is a simplified version of the Riemann hypothesis."

"Although the difficulty is not as high as the Riemann Hypothesis, it is still very difficult."

"If you prove it, you can win the top four international mathematics prizes."

Liu Yisheng rolled his eyes and said, "I am also a mathematician, okay? Of course I know the difficulty and significance of the generalized Riemann Hypothesis!"

Lu Yishan looked expectantly at Ye Fei during the live broadcast and asked, "Do you think he can prove success?"

Liu Yisheng glanced at him and said speechlessly: "What do you think?"

Lu Yishan said: "I hope he can prove success!"

Of course, he also knows where it is so easy to prove success in the generalized Riemann Hypothesis.

Reason told him that Ye Fei should not be able to prove the generalized Riemann hypothesis so easily.

However, psychologically I very much hope that Ye Fei will prove successful.

Xia Guo Mathematical Society, conference room!

The live broadcast of the Eurasian Academy of Sciences conference is being displayed on the projector screen in front of the conference room.

At this moment, everyone in Xia Guo Mathematics Society was crowded in the conference room to watch the live broadcast.

No one spoke, and the sound of a needle could be heard in the conference room. Everyone looked expectantly at Ye Fei's back during the live broadcast.

At this moment, not only the Xia State Mathematics Society, but also many mathematics societies in Xia State were watching the live broadcast.

For example, the Number Theory Society, Algebra Society, Function Society, Differential Calculus Society, Geometry Society...

There are even physics societies, computer societies, chemistry societies, biology societies...

There are also Xia National Academy of Sciences, Graphene Research Center, Department of Science and Technology, Department of Education...

Not only the societies, academies of sciences, research centers and certain companies in Xia Kingdom are watching.

Societies, academies of science, research centers and companies from all over the world are watching.

At this moment, Ye Fei proved the generalized Riemann hypothesis and touched the hearts of countless people.

Of course the Xia people hope that Ye Fei will prove successful, but foreigners do not want Ye Fei to prove successful.

Everyone knows that as long as Ye Fei proves the generalized Riemann Hypothesis, Ye Fei will definitely win the fourth major prize in mathematics.

Ye Fei will become the world's top mathematician in one fell swoop.

More importantly, the generalized Riemann Hypothesis has been proven successful, and the successful proof of the Riemann Hypothesis will not last long.

At that time, mathematics will undergo a transformation.

Beili National Mathematical Society, Chairman's Office!

The chairman and vice chairman are sitting in the office watching the live broadcast of the Eurasian Academy of Sciences conference.

The vice chairman said: "He won't prove success!"

The chairman glanced at the vice chairman and said funnyly: "Mateo, do you think it is possible? This is not an ordinary problem, it is the generalized Riemann hypothesis."

The vice chairman chuckled and said, "I am also making an assumption."

The chairman said: "Even if it is a hypothesis, it is impossible to succeed. If the generalized Riemann hypothesis could be proved so easily, it would not be the generalized Riemann hypothesis."

The vice chairman nodded slightly.

The two of them watched the live broadcast very relaxedly, not worried that Ye Fei could prove the generalized Riemann Hypothesis successfully.

Eurasian Academy of Sciences Congress!

"This kid!" Xia Guobin looked at Ye Fei speechlessly and thought to himself: "Let him come to participate in the Eurasian Academy of Sciences Conference as a representative. He has proved the generalized Riemann hypothesis. Does he know that this Eurasian Academy of Sciences Conference is a global event? Live.”

After speaking, he glared at Keith, the dean of the Eurasian Academy of Sciences headquarters.

Keith looked at Ye Fei on the stage with interest and said to himself: "It's amazing. The generalized Riemann Hypothesis has been proved in this way."

"My global live broadcast is really worth it. It allows people around the world to see the world's top geniuses prove the generalized Riemann Hypothesis."

Qiu Chengtong looked at Ye Fei's proof process, frowned and thought: "So far, his process of proving the generalized Riemann hypothesis is correct!"

An unbelievable idea came to Qiu Chengtong's mind. He said in surprise: "Can he really prove the success of the generalized Riemann Hypothesis?"

"but……"

"He just proved the distribution of prime numbers!"

"Can this prove the generalized Riemann Hypothesis?"

Qiu Chengtong himself didn't believe it.

"He shouldn't be able to prove success!"

After speaking, he looked at the other Fields Medal winners beside him.

The rest of the people looked at Ye Fei's proof process seriously, with expressions of thought on their faces from time to time.

The more Ye Fei writes, the more inspiration he gets, and the more he writes, the smoother he becomes.

Ye Feixin said: "For any Diraclet L(s,x), its infinite number of non-obvious zero points are all on the straight line x=1/2."

"This is the generalized Riemann hypothesis."

"All negative even numbers are zero points of the Riemann Hypothesis. These zero points are called trivial zero points."

"But ordinary zero points have no research significance. Only zero points outside the ordinary zero points have research significance."

"And these zeros are called nontrivial zeros."

"On the straight line x=1/2, more than 40% of the non-trivial zero points are on this straight line."

"With the help of computers, we found that the Riemann Hypothesis has more than ten trillion non-trivial zeros."

"As predicted by the Riemann Hypothesis, they all fall on the straight line x=1/2 without exception."

"In order to prove the Riemann Hypothesis, mathematicians have proposed many methods."

"For example, Gerhard Frey proposed."

"If Fermat's last theorem is not true, then through the related theories of elliptic curves and modular forms, we can get a counterexample to the Taniyama-Shimura conjecture."

“If we can prove the Taniyama-Shimura conjecture, we will also prove Fermat’s last theorem.”

"Thus, Andrew Wiles proved a special case of the Taniyama-Shimura conjecture and thereby proved Fermat's last theorem."

"So, based on this idea, mathematicians have proposed a copycat version of the Riemann Hypothesis, or a simplified version of the Riemann Hypothesis, which is the generalized Riemann Hypothesis."

“Proving the generalized Riemann Hypothesis is not far from proving the Riemann Hypothesis.”

"Same as the genuine Riemann Hypothesis, the Generalized Riemann Hypothesis also predicts that all non-trivial zero points of the L-function are on the straight line x=1/2."

"When mathematicians wanted to further narrow the range of zero points to prove that the non-trivial zero points of the L-function are also close to the straight line x=1/2, something unexpected happened."

"Because of the complexity of the L-function itself, the idea of ​​narrowing the zero point range of the Riemann Hypothesis has an unexpected situation in the L-function."

"There may be a non-trivial zero of the L-function very close to x=1."

"This non-trivial zero point does not mean that such a zero point is actually discovered."

"It means that with current research methods, there is no way to prove that such an exceptional zero point does not exist."

"On the other hand, if we really find the zero point of this exception, we can directly declare that the generalized Riemann hypothesis is not true."

"This possible exceptional zero point is called the Landau-Siegel zero point."

“Can’t the Landau-Siegel zero-point conjecture and the generalized Riemann hypothesis coexist?”

"No, they can coexist."

"The Landau-Siegel zero-point conjecture is to help the generalized Riemann hypothesis narrow the range of non-trivial zero points."

"If the Landau-Siegel zero-point conjecture holds true, then there will be no non-trivial zeros of the L-function near x=1."

"This also means that the range of non-trivial zeros of the L-function shrinks inward from the rectangular area where real numbers are greater than zero and less than one."

"Therefore the generalized Riemann Hypothesis is more likely to be correct."

It's a bit convoluted, but in fact the generalized Riemann guess is divided into two parts.

Part of it is on the straight line x=1/2.

Part of it is on the straight line x=1.

On the straight line x=1, the Landau-Siegel zero point exists, so the generalized Riemann hypothesis on the straight line x=1 does not hold.

On the contrary, the generalized Riemann hypothesis narrows towards the straight line x=1/2.

As a result, the non-trivial zero points of the L-function narrow inward, limiting the scope of the generalized Riemann hypothesis.

This is more conducive to proving the Riemann Hypothesis.

Ye Feidao: "So, if the generalized Riemann hypothesis proves successful, it proves that the Landau-Siegel zero point exists."

"Therefore, what we said before about the Landau-Siegel zero-point conjecture and the generalized Riemann hypothesis cannot coexist is wrong."

Ye Fei was very happy: "In this way, I proved the generalized Riemann hypothesis, which will not do any harm to Zhang Yitang, but will actually be beneficial."

"At least it can be proven that the Landau-Siegel zero point exists."

With that said, Ye Fei finished writing the last part of the proof process.

[Since δ\u003e1/2, 1-2δ\u003c0

So F(δ)=0

And when δ\u003c1/2, 1-2δ\u003e0

so……

Therefore, we know from the properties of the function itself.

The zero point s in the critical band must have δ(s)=1/2

That is, the generalized Riemann Hypothesis is proved]

When he finished writing, Ye Fei let out a long breath, then put down his pen and turned to face everyone.

Everyone looked at Ye Fei quietly, looking forward to Ye Fei's next answer.

A smile appeared on Ye Fei's lips, he moved away from the whiteboard behind him, and said: "This is the entire proof process of the generalized Riemann Hypothesis!"

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