Chapter 25: The Key to the Riemann Conjecture
The second day is still not the time for the mathematicians' conference, but the third day.
Therefore, on the second day, Ye Fei was still discussing academic problems with many mathematicians.
Ye Fei was sitting with Zhang Yitang at the moment.
Although Zhang Yitang is a mathematician from Beili, he is Chinese.
Therefore, Zhang Yitang was also invited by the Third World Academy of Sciences.
They sat by the window, less than fifty meters away from the sea level.
Through the window, you can see the seagulls and ships on the sea.
The fishermen at the pier are busy at work.
Transporting the caught seafood from the ship.
Ye Fei looked at this beautiful scene, and a smile appeared on the corner of his mouth.
After a while, Ye Fei looked at Zhang Yitang and said, "Zhang Yitang, how is your Landau-Siegel zero-point conjecture proven." ā
"I've heard that you made a lot of progress some time ago, pushing the power of Landau-Siegel's zero-point conjecture to the power of eight hundred."
Some time ago, Zhang Yitang's team suddenly announced that Zhang Yitang had pushed the Landau-Siegel zero-point conjecture to the 800th power.
This has attracted the attention of the entire mathematical community.
The importance of the Landau-Siegel zero-point conjecture needs no explanation.
If it proves successful, it will definitely win the top international mathematics award.
"Hmm!" Zhang Yitang smiled: "Yes." ā
"This is also thanks to the idea you gave me at that time, if it wasn't for the idea you gave me at that time, I would not have pushed the Landau-Siegel zero-point conjecture to the 800th power in such a short time."
When Ye Fei and Zhang Yitang met for the first time.
Ye Fei gave Zhang Yitang some ideas for the Landau-Siegel zero-point conjecture.
Soon after, Zhang Yitang pushed the power of the Landau-Siegel zero-point conjecture to the power of the thousandth.
After that, it was even more according to the method given by Ye Fei.
Push the power to the power of eight hundred.
After speaking, Zhang Yitang looked at Ye Fei gratefully.
If it weren't for Ye Fei, he might still be thinking of a way.
If the Landau-Siegel zero-point conjecture is proved to the thousandth power.
And not to the eighth hundredth, as it is now.
Ye Fei laughed and said, "Don't, I just had a whim to give you some ideas." ā
"It's also your own accumulation that is strong enough."
"If it were someone else, even if I gave me some ideas, they wouldn't be able to push the power to eight hundred."
Ye Fei said suddenly: "At this speed, I see that you have a great hope in your life to prove the Landau-Siegel zero-point conjecture!" ā
"Maybe!" Zhang Yitang nodded with a smile.
In fact, he also thought in his heart that there was a great possibility to prove Landau-Siegel zero-point conjecture in this life.
But people can't be too complacent, and there is no need to say that things that have not yielded results are as if they were successful.
It's just that Zhang Yitang regrets it in his heart.
He could not have won a Fields Medal, because he was now over forty years old.
Those over the age of 40 are not eligible for a Fields Medal.
Of course, if he proves the Landau-Siegel zero-point conjecture, he can win the Wolf Prize.
The Wolf Prize is one of the three major awards in mathematics, and the difficulty of winning the award is similar to that of the Fields Medal.
Known as the Nobel Prize of mathematics, the Wolf Prize is a supplement to the Fields Medal and has no age limit.
And, like the Fields Medal, it has the nature of a lifetime achievement award.
Ye Fei smiled: "Then I will congratulate you in advance." ā
As he spoke, Ye Fei picked up the teacup.
Zhang Yitang also picked up the teacup, the two touched it, and took a sip of tea.
After putting down the teacup, Zhang Yitang shook his head amusedly: "This is where it is, but I still want to thank you for your congratulations." ā
After that, the two began to exchange math problems.
The two have a lot of questions to communicate.
Zhang Yitang studied the Landau-Siegel zero-point conjecture.
And Ye Fei studied the Riemann conjecture.
To study the Landau-Siegel zero-point conjecture, the Riemann hypothesis must be studied.
To study the Riemann hypothesis, it is also necessary to study the Landau-Siegel zero-point conjecture.
Threesome, there must be my teacher!
The two collided with each other and generated many inspirations.
The next day, the Congress of Mathematicians was held.
As one of the world's top mathematical events, every Third World Mathematicians Conference has attracted global attention.
Early in the morning, science and technology reporters from all over the world gathered at the entrance of the International Convention and Exhibition Center.
CCTV reporter faced the camera and said: "Hello everyone, this is the International Convention and Exhibition Center in Trieste, Italy, where the Third World Mathematicians Conference will be held. ā
"The Third World Congress of Mathematicians is of a very high standard, and the participants must be academicians."
"Participating in the Third World Congress of Mathematicians, there are many scholars who have won the world's top awards."
"Like Fields Medal, Nobel Prize, and Turing Award winners."
"This year, 324 academicians from China participated in the Third World Congress of Mathematicians."
"It is the country with the largest number of academicians in the Third World Congress of Mathematicians among all countries."
"In addition, last year, Academician Ye Fei, the youngest academician in the world, also participated."
āā¦ā¦ā
At this time, Ye Fei and a group of people walked from a distance talking and laughing all the way.
When many reporters saw Ye Fei, their eyes lit up, and then they quickly surrounded him.
As the youngest academician in the world, Ye Fei is one of the hottest spots at this conference.
Journalists love people who have news on them.
Ye Fei saw a group of reporters surrounding him, and he was very helpless.
Ye Feixin said: "Hey...... Every time. ā
Ye Fei looked around, and the scholars who were originally around him had quickly moved away from him and walked towards the International Convention and Exhibition Center.
Behind him, there were only Wang Yan and the others, like guardian saints, standing behind Ye Fei.
Seeing the reporters coming towards Ye Fei, Wang Yan and the others quickly stood in front of Ye Fei and blocked the reporters.
Zhang Yitang turned around and gave Ye Fei a smile, as if to say, you enjoy it slowly!
Ye Fei was speechless in his heart: "It's really excessive, and you won't help me block these reporters." ā
The reporters looked at Ye Fei and said, "Academician Ye Fei, this is the first time you have participated in the Third World Mathematicians Conference, what do you think?" ā
Ye Fei said with a smile: "The people who participate in the Third World Mathematicians Conference are all top international scholars, and I can learn a lot from them, and I like to participate in the Third World Mathematicians Conference very much." ā
"Academician Ye Fei, will you give an academic report for more than half an hour at the Mathematicians Conference?"
All those who attend the mathematicians' congress are required to give a ten-minute academic presentation.
If it is a half-hour, forty-five minute and one-hour academic presentation, you need to apply in advance.
Ye Fei shook his head with a smile and said, "No, I haven't had much research results in mathematics in the past year, so I won't do an academic report for more than half an hour." ā
"Academician Ye Fei, as the youngest academician in the world, you should receive the attention of many scholars, do you have any pressure to get along with them?"
Ye Fei smiled: "It's quite stressful, after all, they are better than me, it's the first time I've seen so many excellent people, and there will be a lot of pressure when getting along with them." ā
"However, I will try to catch up with them."
"Academician Ye Fei......"
Ye Fei saw that the time was almost up, and said, "I'm sorry, everyone, I'm going to enter the venue." ā
Ye Fei took a lot of effort to enter the venue with the help of Wang Yan and the others.
The Third World Congress of Mathematicians is held in the same way as the International Congress of Mathematicians.
First, everyone gathered in one hall, held the opening ceremony in the morning, and in the afternoon everyone went to each lecture hall to listen to the academic reports.
In the last few days, everyone gathered for an hour of academic presentations, followed by the closing ceremony.
After Ye Fei entered the venue, he took a long breath, and then smiled at Wang Yan and the others: "Thank you, if it was before, it would have taken me a long time to break free from the reporters." ā
Wang Yan hurriedly said: "Academician Ye, don't say that, this is what we should do." ā
Wang Yan and the others have also seen Ye Fei's popularity in the academic world in the past few days.
Ye Fei's popularity is not inferior to those stars at all.
The point is that all of these people are highly intellectuals.
From this, it can be seen that Ye Fei's status in the academic world and his importance to the country.
The two of them didn't dare to relax in protecting Ye Fei.
After walking into the venue, Wang Yan and the two sat in the last seat, and Ye Fei sat near the front row.
Eight o'clock sharp!
Zhou Shilian, President of the Third World Academy of Sciences, took the stage and delivered a speech.
"Good morning, ladies and gentlemen!"
"In this beautiful city, we gather here from all over the world ......"
After a long time, Zhou Shilian ended his speech and said: "I announce that the 12th Third World Congress of Mathematicians is officially held! ā
"Bang Bang Bang ......"
This was followed by speeches by the five vice-presidents of the Third World Academy of Sciences.
The latest Fields Medal winners also took the stage to deliver speeches.
The whole morning was spent in the opening ceremony.
In the afternoon, everyone dispersed to various lecture halls to listen to the academic presentation.
Ye Feixin said: "The mathematicians' conference will be held for a total of ten days, and the first seven days are to listen to academic reports in various lecture halls. ā
"The last three days are one hour of academic presentations."
"The morning of the first day and the afternoon of the last day were the opening and closing ceremonies, respectively."
"Therefore, there are only nine days to listen to academic reports, six and a half days to listen to academic reports in various academic lecture halls, and two and a half days to listen to one hour of academic reports."
"So, I spent three and a half days listening to number theory, three days listening to algebra, and the last three days listening to an hour of academic presentations."
In the next few days, Ye Fei listened to academic reports during the day and recorded various inspirations on the computer at night.
Ten days later, the restaurant!
It's dinner time, and the scholars sit together, chatting while eating.
The mathematicians' conference ended this afternoon, but they will not leave immediately, but will stay here for two or three days.
After all, an event like this might only happen once in a few years.
They want more time to discuss academic issues.
Zhang Yitang said: "Ye Fei, how have you listened these days?" Did Hansen guess have an idea? ā
"Not bad, right?" Ye Fei said: "Hansen's conjecture already has ideas, not only that, but I also have some ideas for problems under the modulo such as k-wise L-cross family." ā
"Although it is not very complete, after the end of the mathematicians' conference, after a period of argumentation, these two problems should be proven."
After listening to the academic report for ten days, Ye Fei has been able to prove the Hansen conjecture, and the problems under the modulo such as k-wise L-Jiao family have also found the solution ideas.
Even, Snevily guessed that he had some ideas.
When he returned, he proved the first two questions.
After that, he can specialize in the Snevily conjecture.
Ye Feixin said: "This mathematicians' conference has gained too much, and I hope that I can prove the Snevily conjecture in about three months after I go back." ā
"Snevily's guess, that's the key to the Riemann conjecture."
"Oh!" Zhang Yitang looked at Ye Fei in surprise and said, "It's a big deal!" ā
Ye Fei smiled: "I have been proving these two problems for a long time, nearly half a year. ā
Zhang Yitang looked at Ye Fei speechlessly, and half a year was embarrassed to say that it was a long time.
So what do I say about the more than ten years of proving the Landau-Siegel zero-point conjecture?
Zhang Yitang said with interest: "Let's talk about it!" ā
Ye Feidao: "Let's talk about Hansen's conjecture first, and the core point of Hansen's conjecture is Ln, 3 is a non-two-part single graph and Ln, and 4 is a two-part single-image circle. ā
"Hansen's conjecture can be proved using graph transformations and constructor methods."
"For a graph G with at least one circle, it is possible to depict ......"
Hearing Ye Fei talk about academic issues, it quickly attracted many people.
The problems of the Hansen conjecture and the k-wise L-cross family under modulo p prove the Snevily conjecture.
And the Snevily conjecture is the key to proving the Riemann conjecture.
If the Snevily conjecture is proved, the door can be opened to prove the Riemann conjecture.
Therefore, many people are very interested in the Snevily conjecture.
Ye Fei saw so many people around him, and the more he said, the more inspiration he gets.
After all, all the people present were academicians, and there were also some winners of the Fields Medal, Nobel Prize, and Turing Award.
Their mathematical knowledge, talent, and ability are among the best in the world.
The inspiration they provided to Ye Fei was the one that Ye Fei absorbed the most inspiration.
Ye Fei asked the waiter to push the whiteboard, and Ye Fei wrote down the calculation formula on the whiteboard.
Ye Feidao: "Suppose there is an io that makes the AI ā 0......"
āā¦ā¦ā
"From the Hansen conjecture and the k-wise L-cross family and other problems under modulo p, we can then prove the ......"
"Let p be a prime number and L={l1,l2,.,ls}......"
Yau Chengtong and other Fields Medal, Nobel Prize, and Turing Award winners stood in the crowd, looking at Ye Fei's proof, very surprised.
Hugo said: "He has proved the problems of the Hansen conjecture and the k-wise L-cross family under the modulo, and the next step is to prove the Snevily conjecture." ā
No one answered Hugo's words, and everyone was watching Ye Fei's explanation seriously.
Ye Feidao: "Through the proof of theorems 5.1.5, 5.1.6 and 5.1.9, the Snevily conjecture can be proved. ā
"Based on Lemma 5.2.2, we first give the proof ...... of Theorem 5.1.5"
"Suppose y={F1,F2,.,Fm} is a family of subsets of {n} and satisfies ......"
āā¦ā¦ā
"In Corollary 5.2.4, let T=K and y={A1,A2,.,Am} and y={C1,C2,.,Cm} satisfy that for every 1ā¤iā¤m, there is Ai=Ci=Fi."
"Then it is known from inference 5.2.4, and theorem 5.1.9 is true, and it is proven."
Ye Fei had just finished proving it, and he was stunned.
Everyone frowned and looked at Ye Fei's proof process thoughtfully, reviewing and calculating Ye Fei's proof process in their minds.
For a long time, Ye Fei was shocked in his heart: "I proved the Snevily conjecture?" ā
"Good!" Yau Chengtong said excitedly: "The Snevily conjecture has been proven successful, which means that the key to the Riemann conjecture has been found, and the door to the Riemann conjecture has been opened, which is a great moment in the history of mathematics." ā
After saying that, he took the lead in applauding.
"Bang Bang Bang ......"
The rest of the people reacted at this time and applauded.
Everyone was very excited.
The Riemann conjecture, the most famous of the seven mathematical conjectures, has finally opened the door.
Then, it will be much easier to prove the Riemann hypothesis.
Ye Fei looked at the people around him who applauded him, and he was also very excited in his heart.
Finally proved Snevily's conjecture.
Zhang Yitang looked at Ye Fei in astonishment, and said in his heart: "This ...... Am I supposed to be a little panicked? ā
Zhang Yitang proved the Landau-Siegel zero conjecture.
The Landau-Siegel zero-point conjecture and the Riemann conjecture are opposites.
The two cannot coexist, and the Landau-Siegel zero-point conjecture proves to be successful, and the Riemann conjecture is false.
If the Riemann conjecture proves successful, the Landau-Siegel zero-point conjecture does not exist.
Therefore, at this moment, Ye Fei opened the door to Riemann's conjecture.
The study of Zhang Yitang is very detrimental.
"Ye Fei!" Zhang Yitang stepped forward and said with a smile: "Congratulations! ā
Zhang Yitang is still quite happy for Ye Fei.
There are only right and wrong in mathematics.
Ye Fei proved the Snevily conjecture, which was Ye Fei's ability.
Ye Fei can't be blamed just because he opened the door to Riemann's conjecture.
"Thank you!" Ye Fei said with a smile.
Next, many people stepped forward to congratulate Ye Fei.
And the news spread quickly to the world.
(End of chapter)