From a university student to a chief academician

Chapter 105 Ye Fei Completely Defeats the Descendants of Two Fields Medal Winners
Amata stood on the stage, looking at the dense crowd below.

There is some excitement in his heart, this is his stage, here he is about to show his abilities to the world.

For the International Conference of Young Mathematicians, he showed [-] points of ability.

He has proved many conjectures and made significant contributions to the BSD conjecture.

Today, he will come up with another conjecture, the Gaussian number conjecture.

Gaussian number conjecture, he has been studying for more than a year, and finally proved it a month ago.

Compared with the conjectures he proved in the past, the Gaussian number conjecture is not at all easier than them.

In terms of importance, they are not weaker than them at all.

Gauss made only three conjectures in his life.

They are the Gaussian class number conjecture, the Gaussian class number conjecture of the imaginary quadratic field and the Gaussian class number conjecture of the real quadratic field.

These three conjectures are combined into a Gaussian conjecture.

The Gauss conjecture was proposed in the middle of the seventeenth century, and it has been about 200 years.

In the past 200 years or so, the world has been studying the Gauss conjecture.

And so far it hasn't been proven.

Moreover, as the prince of mathematics, Gauss put forward conjectures that are very high in terms of difficulty and importance.

And today he proved to the world the first conjecture of the Gaussian conjecture, the Gaussian number conjecture.

As for the contest with Balazs, he didn't care.

In his view, there was no rivalry between them.

Just to prove the same problem, academic crash happened.

And this happens all the time in academia.

There are only so many conjectures, and many people will study them. It is very likely that many people will study the same conjecture.

Therefore, strictly speaking, it is not a contest between them.

It's the wrong thing happening at the wrong time.

Completely by accident!
阿马塔道：“设正整数d1，d2满足gcd(d1，d2)=1……”

While speaking, he wrote a set of formulas on the whiteboard behind him.

At the same time, the content on the whiteboard is displayed on the large display screen hung on the wall.

That way everyone can see it.

"Not bad!"

Many people present nodded, including some academicians and fellows.

Their vision and wisdom are much higher than those of the young mathematicians present.

At a glance, you can see Amata's proof ideas.

Academician Wei said to a middle-aged white man with curly hair and white hair beside him: "Amata used the generalized Ramanujan-Nagell equation and the Lucas/Lehmer sequence in the Gaussian number conjecture."

"Hmm!" Lyle beside Academician Wei said, "That's true, it's a very novel idea."

"His research can be used in cryptography."

Because Amata used ideal groups in his thesis.

It is common sense in mathematics that ideal groups establish a quadratic domain cryptosystem.

The most clever part of Amata is to use the quadratic field cryptography system. When looking for the ideal subgroup of the quadratic field ideal group with a large prime number order, the divisibility of the class number can be studied.

Although this idea has been mentioned before, few people have applied it to the Gaussian number conjecture as naturally as he did, which also caught everyone's eyes.

阿马塔道：“考虑丢番图方程d1x^2+d2y^2=4p^z……”

"Equation (6.1) has at most one solution, with some known exceptions, and these two theorems are proved."

"This is the Gaussian class number conjecture."

"Papa..." Everyone applauded warmly.

"As expected of Amata, wonderful!"

"Yeah, I don't know if Balazs will have such a wonderful academic report next."

"Very good, very good, really wonderful academic report."

"At this age, with such academic ability, the world's top mathematicians will definitely have him in the future."

"..."

Many people expressed emotion in their hearts.

There are many others who envy Amata's mathematical talent.

Many people also envy that England has a mathematician genius like Amata.

Among them are many Xia Guo mathematicians.

Academician Wei sighed with emotion: "It's really a genius in number theory, why doesn't our Number Theory Association have such a genius!"

"Hey..." Academician Wei sighed weakly in his heart: "Our country still has a long way to go in terms of cultivating talents!"

Due to the large population, Xia Guo can only take exam-oriented education.

But exam-oriented education has a big drawback.

Good at exams, but not good at innovation and hands-on ability.

Many need inspiration, inspiration and innovation is a truth.

A person who is good at exams but not good at innovation will not go far in mathematics.

Therefore, it is difficult to cultivate academic geniuses from exam-oriented education.

Unless this person is very talented.

Academician Wei picked up his mood, sad and regretful, nothing can be changed.

Exam-oriented education is a national policy, and the national policy needs to be used for most people, not for a small number of people.

He continued to read the academic report.

This was followed by Amata answering questions from the audience.

About half an hour later, Amata's academic report ended.

Next is Balatz's academic report.

Everyone was very interested in the academic reports of the two of them, and they all wanted to know who was stronger and who was weaker between the two of them with the same academic report topic.

Balazs stepped onto the stage. Before he participated in the International Conference of Young Mathematicians, he knew that the academic report given by Amata had the same theme as his academic report.

He is not interested in competing with Amata.

Whether Amata is strong or weak, it has no effect on him.

In this world, there are always people who are stronger than themselves. If he always wants to compete with others, then he will live very tired.

So, he only competes with himself.

Balatz said: "Assume that D is a positive integer without a square factor, h(-D) is the number of Gaussian classes, and the number of classes of Q(-D)..."

Academician Wei nodded in agreement and said, "Baraz's academic report is also very good, not at all inferior to Amata's."

"Lyle." Academician Wei looked at Lyle beside him and asked, "What do you think?"

"His point of view is also very novel." Lyle said: "He is the original factor of Lucas number."

"In the past, the original factors of Lucas numbers were used to solve the Diophantine equation, and it was rarely used to prove the Gaussian number conjecture."

"And he, like Amata, used the original factor of Lucas number in the Gaussian number conjecture."

"His point of view makes us think a little more in proving the Gauss conjecture."

"Yes!" Academician Wei nodded, "Indeed."

"Hey..." He shook his head and said with emotion, "Amata and Balatz are both excellent."

"Using the idiom of our Xia Kingdom, their ability is equal to each other, no distinction is made between high and low."

Lyle nodded and said: "That's true. From the perspective of the number theory research of the global youth generation, these two are the best."

"Yes!" Academician Wei nodded.

Academician Wei felt very regretful that these two people were not from Xia Guo.

He thought to himself: "It would be great if I were from the Xia Kingdom, such geniuses in number theory are rare!"

"It would be great if our Xia Kingdom had such a genius."

Facing such a talent, Academician Wei is very itchy.

I can't wait to let them enter the Xia Country Number Theory Association.

Of course, this is unrealistic.

One of them is from North America and the other is from England.

Mathematics of these two countries is stronger than that of Xia Guo. It is impossible for them to enter the Beili Country Number Theory Association and the England Number Theory Association.

Academician Wei was a little depressed, but soon he calmed down.

Since you can't force it, then don't want to.

It is better to ask for others than to ask for yourself, let's think about how to train people in our own country!
Maybe you can find a number theory genius.

He thought to himself: "The following is Ye Fei!"

Song Chengkun looked at Ye Fei and said with a smile, "It's you next, don't be nervous, take it easy."

Ye Fei said: "I'm not nervous!"

"Are you really not nervous?" Song Chengkun looked at Ye Fei suspiciously: "Don't hold on!"

"I'm not nervous at all." Ye Fei shook his head: "It's not the first time to give an academic report on stage, so what's there to be nervous about?"

"The two people in front of you are so strong, aren't you afraid that what you say is not as good as the two in front of you, and you will be complained by the audience?"

Ye Fei smiled and said, "I'm not afraid, I won't be complained about."

"Why are you so confident?" Song Chengkun rolled his eyes.

The three of them were all talking about the same academic report topic, and the order of appearance was still next to each other.

The first two spoke very well, and if Ye Fei spoke poorly, everyone would be able to see it.

At that time, the audience will complain, and it will be embarrassing for whoever is weak.

A gleam flashed in Ye Fei's eyes, and he said, "Because of self-confidence."

If he hadn't read the academic reports of Amata and Balazs, he would still doubt himself and be a little nervous.

But after reading the academic reports of the two, he knew that he was on the safe side.

Ye Feixin said: "These two feel very powerful looking at their resumes, but that's exactly what they are."

Again, Ye Fei’s proofs are not comparable to theirs in quantity, but they are higher in quality.

"I seek quality, not quantity."

Half an hour later, after Balazs finished asking questions from the audience, his academic report came to an end.

Ye Fei stood up from his seat and took a deep breath.

Song Chengkun clenched his fist and cheered for Ye Fei, saying, "Ye Fei, come on!"

Ye Fei smiled at him, then walked towards the stage with big strides.

The audience was still discussing with each other about Balatz's academic report just now, and few people paid attention to Ye Fei.

Ye Fei stepped onto the stage and said, "Hello everyone, I am Ye Fei from Zhonghu University, and the content of my academic report is the Gaussian number conjecture."

"Uh..." Many audience members were shocked when they heard Ye Fei's words.

Although crashes are very common in academic reports, this is too common!

All three of them gave academic reports on the same topic, and the order of their academic reports was next to each other.

But who is this Ye Fei!
The first two are Amata, the son of the Fields Medal winner, and Balazs, the student of the Fields Medal winner.

This Ye Fei is from the Xia Kingdom and a student from an unknown university, so it should have nothing to do with the Fields Medal winner.

Such a person makes an academic report on the same topic as Amata and Balazs, isn't he looking for abuse!

At this time, many people were either amused or sympathetic.

The three of Yuan Zhengsong sighed in their hearts: "Hey... I hope Ye Fei can make it through!"

Ye Feidao: "I combine the Gaussian class number conjecture with the Eisenstein series and the Riemann function to explore the class number 1."

"Huh?" Hearing Ye Fei's words, many people cheered up.

What he said seemed interesting.

Eisenstein series is a kind of modular form that can be directly expressed as a series, which is a formula for studying Riemann's conjecture.

But in the past, no one combined Eisenstein series with the Gaussian number conjecture.

Although the Gaussian number conjecture is closely related to the Riemann conjecture.

The Eisenstein series is also related to the Riemann Hypothesis.

But the Eisenstein series has nothing to do with the Gaussian number conjecture.

This is as if A and B are father and son, C and B are friends, but there is no connection between A and C, because B makes them seem to be connected, but in fact they are still not connected.

Ye Fei wrote down a set of formulas on the whiteboard behind him.

【x(1)=1
……

x(n)=0 if gcd(n, N)>1]

Ye Feidao: "Assume N is a positive integer, x is a Dirichlet character modulo N, for all integers m and N..."

"..."

"Who x is a Dirichlet function, let f(T) denote that (T, P) is denoted by x."

"Woo..." The audience exclaimed, and many people were surprised: "He really combined the Gaussian number conjecture and the Eisenstein series with the Riemann function."

"God, how did he think that?"

"My God, it can be explained in this way."

An academician said excitedly: "He makes good use of the Riemann function, uses the Riemann function as a link, and combines the Gaussian number conjecture with the Eisenstein series."

"What a genius idea."

"This person named Ye Fei is really a genius in number theory."

"He's more genius than Amata and Balazs."

"Although the academic reports of Amata and Balatz are very exciting and have some highlights, their ideas have been mentioned before."

"As for this person named Ye Fei, his thoughts have never been mentioned before."

"Also, it seems that Ye Fei's idea is more concise than Amata's idea of ​​proving the Gaussian number conjecture."

"If Amata and Balazs are geniuses, then Ye Fei is a ghost."

Many people in the audience were excited as if they had discovered a new world, and their eyes lit up when they looked at Ye Fei.

Those who knew Ye Fei were stunned.

Academician Wei looked at Ye Fei dumbfounded. He had never had contact with Ye Fei before the International Youth Mathematicians Conference, so he didn't know Ye Fei's ability.

But he heard the president say that Ye Fei is a genius.

However, there are too many geniuses in the mathematics world, and he thought Ye Fei was just an ordinary genius.

But looking at it now, this is no ordinary genius, he is simply a ghost!

Lyle asked Academician Wei beside him: "This Ye Fei is from your Xia Kingdom Number Theory Association!"

"En!" Academician Wei nodded blankly.

Lyle said enviously: "You have such a genius in the Xiaguo Number Theory Association, and you want to produce a top number theorist."

Academician Wei didn't know what to say, the surprise came so suddenly that he was caught off guard.

Song Chengkun looked at Ye Fei in surprise, Ye Fei was even more talented than Amata and Balatz.

He also said before that Ye Fei is not as good as these two, but now he feels a little ashamed.

This is not as good as these two people, it's like rubbing these two people on the ground.

Amata and Balazs were even more stunned. They thought that the International Conference of Young Mathematicians was a competition between them.

Unexpectedly, a person who jumped out suddenly had the same academic report topic as theirs, and even defeated them completely.

This... this is really unbearable!

Then, the two were excited, as if they had a tacit understanding, and they had the same idea at the same time.

(End of this chapter)