Chapter 39: Safit's jealousy, proving the distribution of prime numbers
The host came to the stage and said, "Let's start the lottery!" β
A staff member walked up with the lottery box, starting with the first person on the right, and took turns in order for everyone to reach into the lottery box to draw lots.
Soon, the draw ended.
Ye Fei glanced at the number ball in his hand, and said in his heart: "No. 15!" β
"It doesn't matter, the last one is the last one, and it doesn't have much impact before and after the number goes smoothly."
Safit glanced at the number ball in his hand, and was irritated: "How is it No. 14, it's really unlucky." β
Safiet feels that in recent years, he has been unlucky in doing anything.
I couldn't choose the Fields Medal every time, not because I was not capable, but because I was unlucky.
It seems that every time there is an election, there will always be some people who are lucky to be selected.
And he is the one who is very unlucky.
He glanced at Ye Fei and said in his heart: "Ye Fei's number should be in front of me!" β
"My luck is too bad, anyone can be in front of me, but Ye Fei can't."
There were fifteen people on stage, and he looked down on anyone.
But Ye Fei is the only one, he has to look at it.
Ye Fei is a world-class top genius and has made many amazing achievements.
Although he is Ye Fei's age, he is already well-known in the international mathematical community.
However, he was far from reaching Ye Fei's honor and achievements.
Therefore, while he looked down on Ye Fei, he was also very jealous of Ye Fei, and he couldn't wait to smash all of Ye Fei's honors and achievements and trample Ye Fei under his feet.
Therefore, everyone's number ball can be in front of them, but Ye Fei can't.
Safit was very unconvinced: "What about you in front of me, I will stare at you to death, as long as you have any mistakes, I will find out and make you lose face." β
Saffitt looked at the cameras around him and said to himself: "I know that today's conference is different from previous ones, and I heard that Keys spent a lot of money to have many countries around the world broadcast live. β
"As long as I make you lose face, then the whole world will know that you Ye Fei is nothing more than that."
"Your future life will be stained."
Jealousy drives people crazy, and Safitt has never experienced failure since he was a child.
At least until he graduated with a Ph.D., his life was bright and promising.
But ever since he started choosing the Fields Medal, he felt that his life was full of darkness.
has been nominated many times, but he has not been selected every time, which has distorted his psychology.
Any young genius, he has to crush their honor, so that he can get a glimmer of pleasure in his heart.
The host said, "Please raise the number ball in your hand!" β
Everyone raised the number ball in their hands, and Saffet glanced at the number ball in Ye Fei's hand, and when he saw Ye Fei's number ball, he was stunned for a moment.
He was happy in his heart: "No. 15, haha...... Very good, it seems that my luck is good, in front of Ye Fei. β
Ye Fei glanced at Saffit, who was smiling next to him, and said in his heart: "What is this person laughing at, he is smiling like a nymphomaniac." β
The moderator said, "Please put it down, and now the scholar with the number one will ask questions." β
The next time, everyone began to ask questions in numbered order, and the people on the stage discussed with each other, and then the Fields Medal, Nobel Prize, and Turing Award winners in the audience gave some constructive ideas.
Ye Fei didn't answer many times, and he spent most of his time listening to everyone.
Ye Feixin said: "There is a lot of inspiration absorbed in this way!" β
For the next three days, Ye Fei sat on the stage, like a sculpture, talking less and listening more.
The moderator said, "Question No. 14, please." β
"I've been proving the generalized Riemann hypothesis lately. β
"Huh?" Ye Fei was stunned for a moment, glanced at Safit, and was surprised in his heart: "He actually proved the same problem as me." β
Then, Ye Feixin said: "But it's also normal." β
"After all, the Riemann conjecture, as one of the seven conjectures of mathematics, is still the most famous of the seven conjectures."
"If the proof is successful, the entire mathematical community will undergo a big transformation."
"Many propositions become theorems."
"So, there are a lot of people who prove Riemann's conjecture."
"And there are naturally many people who prove the generalized Riemann conjecture."
Safit said to himself: "If I can find the direction to prove the generalized Riemann conjecture and prove the generalized Riemann conjecture, then I will definitely win the Wolf Prize." β
Safit's expectations for this conference are very high.
It is hoped that the generalized Riemann hypothesis will be proved as soon as possible.
"My method is to find the proof process of the generalized Riemann conjecture from the zero-point conjecture of the self-defended L-function," Safitz said. β
Ye Fei frowned, and said in his heart: "Self-guarding the zero-point conjecture of the L-function? β
"Is he trying to prove the generalized Riemann hypothesis through the Riemann-Peterson conjecture?"
The L-function is derived from the Abelian variable in the number field, and the Abelian variable is an important formula for proving the Riemann conjecture.
The generalized Riemann conjecture is also known as the Riemann ΞΆ function.
It is proved that the non-trivial zeros of ΞΆ(s)=β1/n^s(n from 1 to infinity) are all on a straight line with Re(s)=1/2.
Therefore, the generalized Riemann conjecture is also called the generalized zero-point Riemann conjecture.
Therefore, the zero-point conjecture of the self-defended L-function is also a way to prove the generalized Riemann conjecture.
Speaking of Peterson, we have to talk about Peterson.
It is a problem to prove zero-point four-dimensional space.
Therefore, the Riemann-Peterson conjecture is a conjecture that combines the Riemann conjecture and the Peterson conjecture.
Thus the generalized Riemann hypothesis can be proved.
Ye Fei nodded secretly in his heart: "It seems that it is not bad to use the Riemann-Peterson conjecture to prove the generalized Riemann conjecture." β
Safit stood up and walked over to the whiteboard on the stage and wrote down the formula on the board.
[The self-serving L-function L(s,xX) can be analytically extended to the entire complex plane and satisfies the function equation ......]
After Safitt asked his own question, the crowd on the stage began to discuss.
Ye Fei also mentioned a few words.
Wait until the crowd on the stage spoke for more than an hour.
A Fields Medal winner from the North Coast said, "My suggestion is to start with a zero-point density estimate. β
"From Elements in the Outer Product Space on a Complex Number Field......
After the Fields Medal winner of the North Coast finished speaking, another Fields Medal winner of the North Fields Kingdom said: "Bartlett said it very well, and I support his idea. β
"I'm still starting from the zero point density estimation, if I assume D=QT, l=log(QT)......"
Safiet's eyes grew brighter and brighter, as if he had seen a line of thought that proved the generalized Riemann hypothesis.
Safitt was excited: "Found it, I feel like I've found the idea to prove the generalized Riemann hypothesis." β
"Yes, that's how it should be proven."
"Starting from the zero-point density estimation to prove the generalized Riemann hypothesis."
Many Fields Medalists in the audience spoke their minds.
And Safit's idea of proving the generalized Riemann hypothesis is becoming more and more explicit.
"Give me half a year at most, and I will be able to prove the generalized Riemann conjecture," Safit said. β
"I'm sure I'll win the Wolf Prize this time, and maybe the Abel Prize."
Four awards in mathematics, the Fields Medal, the Wolf Medal, the Abel Prize, and the Chern Prize.
The Fields Medal is awarded for theoretical mathematical research before the age of forty.
The Wolf Prize is awarded for theoretical mathematical research after the age of forty.
The Abel Prize is not limited in age and is awarded only for theoretical mathematical research.
There is no age limit for the Chern Prize, but it is only awarded to applied mathematics research.
The Abel Prize and the Chern Prize are lifetime achievement awards because there is no age limit.
The Wolf Prize, like the Nobel Prize, is awarded not only in the field of mathematics, but also in a number of other fields.
Therefore, the influence of the four awards in mathematics, the Fields Medal> the Abel Prize> the Wolf Prize> the Chern.
"If I win the Wolf Prize, I'll be the world's top mathematician."
"In the future, although my reputation is not as good as that of Fields Medal winners, it is only one level behind."
Saffit's mood is very happy at the moment, and the haze of many years seems to have been swept away at this moment.
Saffitt looked at the Fields Medal winners in the audience and said, "Thank you, I'm done with my question." β
The moderator said, "Scholar No. 15, please. β
Ye Fei said: "I also proved the generalized Riemann conjecture. β
The person who heard it was stunned for a moment, and looked at Ye Fei in surprise.
Saffet frowned and looked at Ye Fei.
Then, he sneered in his heart: "I didn't expect Ye Fei to also prove the generalized Riemann conjecture." β
"Haha...... Half a year later, I will be able to prove the generalized Riemann hypothesis. β
"And you can't prove the Riemann conjecture yet!"
"Isn't it unwilling to watch others prove the Riemann conjecture?"
"The generalized Riemann conjecture can win four prizes in mathematics."
"Haha......"
Saffit's heart is very happy at the moment.
He originally came to see Ye Fei to be unhappy.
And now it is found that Ye Fei and himself have proved the generalized Riemann conjecture.
But he has found the way to prove the generalized Riemann hypothesis.
As long as he proves it himself, then Ye Fei can't prove it.
In this way, Ye Fei lost the opportunity to win the four awards in mathematics, and he could win the four awards in mathematics.
This kind of beating a world-class talent makes him feel very happy.
Huya live broadcast room!
The audience waited for nearly three days, and finally waited for Ye Fei to appear.
[Ye Fei also proves the generalized Riemann conjecture? It's the same as Safite! γ
[The two of them have an academic crash! ] γ
[Which of these two people can be the first to prove the generalized Riemann hypothesis?] γ
γ...... I'm afraid that he is a bird, it must be Ye Fei who proves it first. γ
[Ye Fei, kill that gringo! γ
[I don't look at my grade, I actually proved the same problem as Ye Fei. γ
[Ye Fei, come on! ] γ
γβ¦β¦γ
Ye Feidao: "My idea is to prove the generalized Riemann conjecture from the prime number distribution. β
"My idea is to first prove the prime distribution, and then use the prime distribution to prove the generalized Riemann hypothesis."
"And I also created a new method from the Riemann conjecture to prove the distribution of prime numbers."
Safiet frowned, and said in his heart: "Use the distribution of prime numbers to prove the generalized Riemann hypothesis?" β
Then, he sneered in his heart: "This method is too cumbersome!" β
"The distribution of prime numbers is a worldwide problem, and the generalized Riemann conjecture is still a worldwide problem."
"In order to prove the generalized Riemann hypothesis, you also have to prove the distribution of prime numbers."
"Aren't you making it harder for yourself to prove!"
"It's so stupid."
Ye Feixin said: "Although in order to prove the generalized Riemann conjecture, we have to prove the distribution of prime numbers. β
"But as long as the prime distribution is proved, the generalized Riemann conjecture can be proved immediately."
Ye Fei studied the generalized Riemann conjecture during this time, and had found the direction of proof of prime number distribution and the proof of prime number distribution.
How to prove the generalized Riemann hypothesis.
But Ye Fei found the direction of proof of the distribution of prime numbers.
However, after all, he had not yet proved successfully, and he wanted to find a more detailed and concise proof method for the distribution of prime numbers.
Ye Fei said: "The method I created from the Riemann conjecture is called the imitation ray sieve method. β
"It's ......"
Ye Fei walked to the whiteboard and wrote on it.
[In the radiosieve method, we allow multiplication, that is, consider the ray-like transformation Aj(x)=ajx+bj......]
After Ye Fei finished writing, he looked at the people in the audience: "This is what I think." β
After that, everyone on the stage began to discuss.
More than an hour later, Yau Chengtong said: "Academician Ye Fei's idea is very good, my idea is to use Dirichlet's theorem. β
"Let O be an orbital of Z acting on Z by the translation of the extraordinary subgroup A......"
Academics have no borders, but scientists have borders!
Although this is the congress of the Eurasian Academy of Sciences, it gathers most of the world's top scholars from all over the world.
However, when it comes to scholars' questions, it is usually the native scholars who will help answer them.
For example, when Safari asks a question, it is usually the Fields Medal winner of the North Miles Kingdom who gives the answer.
Fields Medal winners from other countries will answer, but not too deeply.
And now Ye Fei's question, Yau Chengtong will actively answer it.
After Yau Chengtong finished speaking, Tao Zhexuan said: "I also agree with the ideas of Academician Qiu and Academician Ye, and I will add again." β
"The Prime Number Theorem and the Nucleus of Integers."
"It is well known that the prime number theorem is a well-known conclusion of the distribution of prime numbers, which is equivalent to the fact that the value of the Riemannian function on the straight line R(s)=1 is not zero."
"Therefore, the Riemann conjecture has an important connection with the distribution of prime numbers."
"So!"
"Ο(x)~x/logx, and the asymptotic formula form Ο(x)=x+O......"
Ye Fei's eyes became brighter and brighter, and his heart was excited: "I have found a more concise proof method, yes, that's it." β
Ye Fei seemed to have a puzzle in his mind, and the last piece of the puzzle was completed at this moment.
The whole process of proving the distribution of prime numbers, from beginning to end, appeared in Ye Fei's mind.
After Tao Zhexuan finished speaking, a smile appeared on the corner of Ye Fei's mouth, and he said: "I have found the proof process of the distribution of prime numbers, I will write it down, you can see if it is correct, please correct." β
Everyone was shocked and looked at Ye Fei in surprise.
That's it!
Huya live broadcast room!
[Ye Fei, is this a world-class top genius, this is the proof process of prime number distribution. γ
γ...... The distribution of prime numbers is a world-class problem, and this is the process of proof found by Ye Fei, which is amazing! γ
[Ye Fei's average IQ and I exceed the IQ of 99.99% of people in the world. γ
[Ye Fei's IQ exceeds 99.999% in the world, and your IQ exceeds 0.01% of the world's human IQ. γ
[Don't celebrate in advance, I don't know if I can prove it!] γ
γβ¦β¦γ
After Ye Fei finished speaking, he walked to the whiteboard and quickly wrote down the proof process on it.
[The set of points xβO that makes (x) prime is Zariski-dense in A.
When it is linear, it is known from Dirichlet's theorem that it is correct......
β¦β¦
On the other hand, K(x)-2K(x/2)=xlogx-Ax+A(x1-x)-2(x/2logx/2-Ax/2+O(x1-x))]
All the Fields Medals, Nobel Prizes and Turing Awards, as well as the academicians who followed Ye Fei's train of thought, looked at Ye Fei's proof process and stared at them in surprise.
"It's out!"
"He really let him prove it."
"The prime distribution has finally been proven."
"Although there is a certain gap between the distribution of prime numbers and the difficulty of the generalized Riemann conjecture, it is also a worldwide mathematical problem!"
"Amazing, just a few sentences from others will prove the distribution of prime numbers."
"Is this a world-class math genius?"
ββ¦β¦β
After a long time, Ye Fei stopped the pen in his hand, looked at everyone in the audience, and said with a smile: "This is all the proof process of the prime number distribution. β
"The distribution of prime numbers, I proved it."
Ye Fei doesn't need other people's correction now.
When Ye Fei wrote the whole prime distribution proof process, Ye Fei knew that his proof process was correct.
The audience was quiet, and the people who couldn't keep up with Ye Fei's thoughts frowned and pondered.
There are still many people who can't understand Ye Fei's proof process at all, and they look at the content on the whiteboard blankly.
I watched it for a long time, but I still couldn't understand it.
It was a blow to their hearts!
(End of chapter)