From a university student to a chief academician

Chapter 243 Global Attention, Proving the Generalized Riemann Hypothesis

Huya Live!
【F*ck... This proves it. 】

[Although I can't understand it at all, I still admire it in my heart, Ye Fei, you are so awesome. 】

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

[Too fucking awesome! 】

【Day... If only my son would be great, I will treat him as my ancestor every day, and you can call me daddy. 】

[Ye Fei's parents are saving the whole universe, right? 】

【…】

Safit looked at Ye Fei with a hint of jealousy in his eyes. Looking at Ye Fei's face, he wished he could kick Ye Fei off the stage.

He took a deep breath, calmed down, and said to himself, "Hmph... so what if you prove the distribution of prime numbers, you still can't prove the generalized Riemann conjecture."

"Although the distribution of prime numbers and the generalized Riemann conjecture are both worldwide 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 conjecture is five."

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

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

When the distribution of prime numbers was proved, the last piece of the puzzle of the generalized Riemann conjecture was also assembled.

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

After finishing speaking, Ye Fei turned around and picked up the cloth hanging beside the whiteboard, erased all the proof process of the prime number distribution, then picked up a pen, and wrote the proof process of the generalized Riemann conjecture on the whiteboard.

Everyone looked at Ye Fei in astonishment.

"What is Ye Fei doing?"

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

"Didn't the prime number distribution prove successful?"

"Impossible, I feel that the proof process is correct!"

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

"Huh?" Safit frowned and looked at Ye Fei suspiciously, thinking, "He started writing again, what did he write? The distribution of prime numbers has been proven!"

Whether it was the audience, the stage, or the people in the live broadcast room, they all looked at Ye Fei who was writing as if there was no one there in astonishment.

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

Ye Fei said without turning his head: "It is proving the generalized Riemann conjecture!"

One word hits a thousand layers of waves!
Everyone exclaimed.

"What? He wants to prove the generalized Riemann conjecture? Didn't he just prove the distribution of prime numbers? This is going to prove the generalized Riemann conjecture?"

"The generalized Riemann's conjecture is very difficult. I think Ye Fei should have some ideas. Let's do some verification. It is not necessarily necessary to prove the generalized Riemann's conjecture."

"It should be!"

"This... this is too sudden, and this is going to prove the generalized Riemann conjecture."

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

"..."

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

Safit said with disdain in his heart: "You are a clown, and you have proved the generalized Riemann's conjecture. I guess you haven't even found the direction to prove the generalized Riemann's conjecture!"

Safit didn't believe it anyway, Ye Fei just proved the distribution of prime numbers, and he was able to prove the generalized Riemann conjecture.

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

For nearly 200 years, countless mathematicians have tried to prove the generalized Riemann conjecture and the Landau-Siegel zero-point conjecture, but failed to prove them successfully.

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

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

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

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

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

Zhang Yitang was in a mixed mood at the moment. He wanted Ye Fei to prove the generalized Riemann conjecture, but he didn't want Ye Fei to prove the generalized Riemann conjecture.

After all, the generalized Riemann conjecture and the Landau-Siegel zero-point conjecture are two opposite conjectures.

Only one of the two can exist.

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

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

Zhang Yitang has spent decades 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 conjecture cannot be proven successful.

Zhang Yitang looked at Ye Fei's back on the stage with complicated eyes, and said in his heart: "But... Ye Fei is a scholar trained by Xia Guo, I hope Ye Fei will go further and further."

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

I hope Xia Guo will get better and better.

Douyu Live!
[Fuck, Ye Fei wants to prove the generalized Riemann conjecture, this... I don't know what to say, I can only say I'm fucked. 】

[I hope Ye Fei succeeds, that's the generalized Riemann conjecture! 】

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

[The generalized Riemann's conjecture is a simplified Riemann's conjecture, and it is not far from proving the generalized Riemann's conjecture. 】

[I'm going, so awesome! 】

【Ye Fei is expected to win the Fields Medal! 】

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

【Brilliant! 】

【…】

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

It soon became a hot search on the Internet, which made many people who did not watch the live broadcast watch the live broadcast.

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

Zhonghu University, Deputy Dean's Office!
Lu Yishan is drinking tea and reading a book in the office.

His recent days have become more and more comfortable.

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

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

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

"Old Lu, Old Lu, something serious happened."

Liu Yisheng yelled 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 could happen?"

"Are there students fighting at the school? Or are some students going to the clubhouse and being arrested?"

"Don't come to me about this. Students fight and go to the security guard, and the hall is arrested and go to the education department."

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

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

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

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

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

"Is this participating in any event?"

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

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

So, he didn't know what activity it was.

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

"The Eurasian Academy of Sciences conference!" Lu Yishan said enviously, "This kid is getting more and more promising. Only academicians can join the Eurasian Academy of Sciences."

"Hey..." Lu Yishan sighed and said, "I'm not qualified to join in this life, but it's good that my student can join in. He joins in instead of me, which means I join in too."

Liu Yisheng glanced at Lu Yishan. In the past two years, Lu Yishan's face has become thicker and thicker, and he often talks about Ye Fei being his student.

I can't wait to let the whole world 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 conjecture."

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

"Hmm..." Lu Yishan froze for a moment, then turned his head to look at Liu Yisheng in astonishment, and said in disbelief, "What did you say? He is proving the generalized Riemann conjecture?"

"That's right!" Liu Yisheng said.

Lu Yishan said: "Are you sure? You are not joking, that is the generalized Riemann conjecture!"

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

"Although the difficulty is not as high as Riemann's conjecture, it is still very difficult."

"If you prove it, you will win the Four International Mathematics Awards."

Liu Yisheng rolled his eyes and said, "I'm also good at mathematics, okay? Of course I know the difficulty and significance of the generalized Riemann conjecture!"

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

Liu Yisheng glanced at him and said speechlessly, "What are you talking about!"

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

Of course, he also knows that the generalized Riemann conjecture is so easy to prove successful.

Reason told him that Ye Fei should not be so easy to prove the success of the generalized Riemann conjecture.

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

Xia Guo Mathematical Society, conference room!
On the projector screen in front of the meeting room, the live broadcast of the Eurasian Academy of Sciences conference is being displayed.

At this moment, everyone in the Xia Guomath Society is crowded in the meeting room to watch the live broadcast.

No one spoke, needles could be heard in the meeting room, and everyone was looking forward to seeing Ye Fei's back in the live broadcast.

At this moment, not only the Mathematics Society of Xia Kingdom, but also many mathematics societies of Xia Kingdom are watching the live broadcast.

For example, Number Theory Society, Algebra Society, Function Society, Differentiation Society, Geometry Society...

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

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

It's not just Xia Guo's societies, academies of sciences, research centers, and certain companies watching.

Societies, academies of sciences, research centers and certain departments from all over the world are watching.

At this moment, Ye Fei's proof of the generalized Riemann conjecture has touched the hearts of countless people.

Of course the people of the Xia Kingdom want Ye Fei to prove his success, while the foreigners don't want Ye Fei to prove his success.

Everyone knows that as long as Ye Fei proves the generalized Riemann conjecture, Ye Fei will definitely win the four major mathematics awards.

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

More importantly, the generalized Riemann conjecture proved successful, and the successful proof of the Riemann conjecture will not be long.

At that time, mathematics will undergo a revolution.

Beili Chinese Mathematics Society, the director'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 with a smile: "Mateo, do you think it is possible? This is not an ordinary problem, it is the generalized Riemann conjecture."

The vice-chairman chuckled and said, "I'm also making a hypothesis."

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

The vice chairman nodded slightly.

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

Eurasian Academy of Sciences Conference!
"This kid!" Xia Guobin looked at Ye Fei speechlessly, and said in his heart: "Let him come to participate in the Eurasian Academy of Sciences conference, and he will prove the generalized Riemann conjecture. Does he know that this Eurasian Academy of Sciences conference is a global conference?" Live."

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

Keith looked at Ye Fei on the stage with interest, and said in his heart, "Amazing, it turned out to prove the generalized Riemann conjecture in this way."

"It is really worthwhile for me to broadcast live globally. It allows people around the world to see the world's top geniuses and prove the generalized Riemann conjecture."

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

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

"but……"

"He just proved the distribution of prime numbers!"

"This can prove the generalized Riemann conjecture?"

Qiu Chengtong himself couldn'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 watched Ye Fei's proof process seriously, with a thoughtful look on their faces from time to time.

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

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

"This is the generalized Riemann conjecture."

"All negative even numbers are zero points of Riemann's conjecture, and these zero points are called ordinary zero points."

"But the ordinary zero point has no research significance, and the zero point other than the ordinary zero point has research significance."

"And these zeros are called nontrivial zeros."

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

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

"They all fall on the straight line x=1/2 without exception, as predicted by the Riemann conjecture."

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

"Gerhard Frey, for example."

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

"If the Taniyama-Shimura conjecture can be proved, it will also prove Fermat's last theorem."

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

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

"Proving the generalized Riemann conjecture is not far from proving the Riemann conjecture."

"Like the genuine Riemann Hypothesis, the Generalized Riemann Hypothesis also guesses that all non-trivial zeros of the L-function are on the straight line x=1/2."

"When mathematicians want to further narrow the range of zero points, so as to prove that the non-trivial zero point of the L-function is also close to the straight line x=1/2, something unexpected happens."

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

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

"This non-trivial zero point does not mean that such a zero point has actually been found."

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

"Conversely, if the zero point of this exception is really found, then it can be directly declared that the generalized Riemann conjecture is not valid."

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

"Can't the Landau-Siegel zero-point conjecture and the generalized Riemann conjecture coexist?"

"No, they can coexist."

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

"If the Landau-Siegel zero conjecture is 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 the real numbers are greater than zero and less than one."

"Then the generalized Riemann hypothesis is more likely to be correct."

It’s a bit of a mouthful, but 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, then the generalized Riemann conjecture on the straight line x=1 does not hold.

On the contrary, the generalized Riemann conjecture narrows to the straight line x=1/2.

In this way, the non-trivial zero point of the L-function is narrowed inward, which limits the scope of the generalized Riemann conjecture.

This is more conducive to proving the Riemann Hypothesis.

Ye Feidao: "So, the success of the generalized Riemann conjecture proves that the Landau-Siegel zero point exists."

"Therefore, what we said before that the Landau-Siegel zero-point conjecture and the generalized Riemann conjecture cannot coexist are both wrong."

Ye Fei was very happy in his heart: "In this way, I proved the generalized Riemann conjecture, which does no harm to Zhang Yitang, but is beneficial."

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

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

【由于δ>1/2时，1-2δ<0
So F(δ)=0
而δ<1/2时1-2δ>0
and so……

……

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

The zero point s in the critical band must have δ(s)=1/2
Both, the generalized Riemann conjecture is proved]

After finishing writing, Ye Fei let out a long breath, then put down his pen, and turned to face the crowd.

Everyone looked at Ye Fei quietly, expecting Ye Fei's next answer.

A smile appeared on the corner of Ye Fei's mouth, and he moved away from the whiteboard behind him, saying: "This is the whole proof process of the generalized Riemann conjecture!"

(End of this chapter)