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Chapter 96 Come to Yanbei after the New Year

The opening ceremony was very lively.

Unlike the school's welcome ceremony, after the big shots gave their speeches, there was an hour-long cultural performance.

Unlike those boring meetings, the bigwigs at the opening ceremony did not spend long giving speeches or addresses.

First, the principal of the host school spoke, then a big shot from the School of Mathematics of Yujiang University spoke, Academician Tian came third, and finally a provincial leader of Yujiang Province announced the official opening of the winter camp after his speech.

With four people speaking and the national anthem played before the meeting, it took less than half an hour in total.

Next is a one-hour cultural performance.

The opening ceremony officially began at nine o'clock and ended on time at ten-thirty. Then we spent another half an hour taking photos at the school track and field. Next, the staff, with the cooperation of the team leaders, took the contestants to visit the campus and familiarize themselves with the examination venue for tomorrow's competition.

After completing the process, the team leaders of each competition area counted the number of people and then returned to the hotel. After dinner, the campers had free communication time throughout the afternoon and evening.

It is said to be free communication, but in fact it is just free activity.

The organizers will not care what the campers do as long as they don't miss the headcount time at 10 o'clock every night by the leaders of each competition area.

However, the personalities of the regional leaders are different, and the requirements for the contestants are also different.

A cautious team leader will ask all contestants to stay in the hotel. In order to prevent everyone from having too much freedom and causing unexpected situations, he or she may simply arrange two papers for each person in the afternoon, or let everyone stay in the hotel and make friends.

A more relaxed team leader will allow the players to take a leave and go out for a walk to see the local customs and culture of Ningshui. Of course, they must ensure that they return to the hotel before the head count every night.

Luo, the leader of Xingnan, belongs to the latter, but the requirements are a little stricter. For example, during the winter camp, students can only eat in the hotel designated by the organizer, and are not allowed to eat out or order takeout. The main reason is that they are afraid that students will get upset during the exam period and affect their performance.

Of course Qiao Yu definitely cannot take a leave today.

After lunch, Qiao Yu took a nap in his room for half an hour. After getting up, he started looking for basic mathematics videos on the Internet as usual.

For example, recently Qiao Yu’s favorite video is one that analyzes the Riemann zeta function from various angles.

For Qiao Yu, the zeta function is indeed an interesting research point. It is closely related to the distribution of prime numbers and at the same time provides a glimpse into the beauty of infinite series. Moreover, through analytical extension, the zeta function can be extended to almost the entire complex plane.

Of course, the most important thing is that Qiao Yu felt that the zeta function was helpful in solving the problem of factoring large prime numbers, although the connection between the two does not seem obvious at present.

For example, by fully analyzing the zeta function, it might be possible to find out exactly how prime numbers control the behavior of certain complex functions.

As we all know, the distribution of zeros of the Riemann zeta function is closely related to the distribution of prime numbers in natural numbers.

If there is a hidden structure in the distribution of the zeros of the zeta function that can be directly linked to the relationship between the zeros with real part 1/2 in the complex plane and the factorization properties of certain integers, then perhaps the factorization of large prime numbers can be made simple and efficient.

For example, by directly using the zeros of the zeta function, we can construct a formula for mapping composite numbers and their prime factors, and form an algorithm. Then, by substituting large integers into this formula, we can quickly find their prime factors.

In this way, the most mainstream RSA encryption algorithm can be defeated. After all, the principle of RSA is actually the product of two prime numbers as the public key, and these two prime numbers are the private key.

If this method can quickly find the private key through the public key, the mainstream encryption principle of the entire Internet will be automatically broken.

You see, the principles of number theory are so simple to explain that even elementary school students can understand them. But when you really put them into practice, you will realize how difficult they are.

At least a seemingly simple Riemann hypothesis only requires proving that all non-trivial zeros of the zeta function are located on the straight line with a real part of 1/2 in the complex plane.

The result is that 165 years have passed since Riemann proposed this problem, which is equivalent to more than days and nights, but no one has been able to solve it. This is even when all mathematicians know that if they can solve this problem, they will directly become famous and win various medals and bonuses.

But then again, this is actually the fun of mathematics. If every problem was easy to solve, there would be no fun at all.

For Qiao Yu, this kind of mathematical problem is nothing more than a game of finding patterns. If he can connect related numbers through a pattern that no one else has discovered, he can make a fortune.

It’s just that this rule is hidden very deeply, and it’s not easy to find.

Just when Qiao Yu was watching the third video, there was a knock on the door. Ranjie, who had been sitting on the bed looking at his phone, stood up, but he didn't open the door. Instead, he winked at Qiao Yu.

"Coming." Qiao Yu quickly stood up and opened the door.

Sure enough, Academician Tian Yanzhen, whom we had just seen on the rostrum at the opening ceremony in the morning, was standing at the door, and Team Leader Luo was accompanying Academician Tian.

In fact, he was still a little surprised, mainly because he didn't expect that Academician Tian would come to him on his own initiative. He thought that Team Leader Luo might have temporarily notified Lan Jie and taken him to visit Academician Tian this afternoon.

If he had gone over there, they would probably have just had a private chat, but coming here to find him on his own initiative probably meant that today's conversation would just be a very ordinary one. After all, you couldn't just chase away Captain Luo and Ranger, right?

"Academician Tian, ​​Team Leader Luo, well, please come in, Academician Tian, ​​Team Leader Luo." Qiao Yu said politely.

Yesterday, Lao Xue specifically told him that he is still a child and all he needs to do is to be himself.

Qiao Yu's understanding of his true self is probably that of a good child who is polite and knows when to behave in front of his elders.

"Okay, I hope my sudden visit did not disturb your rest?" Tian Yanzhen asked casually as he walked into the room.

"No, I usually take a half-hour nap and get up early."

"Hello, Academician Tian. I am Qiao Yu's Mathematical Olympiad coach at school. My name is Lan Jie. Please take a seat."

When Lang Jie, who was standing in the room, saw Tian Yanzhen, he quickly greeted her.

"Hello, all right, stop standing, sit down, sit down."

There were only two stools in the room in front of the table by the window. Tian Yanzhen and Team Leader Luo sat on the stools, while Qiao Yu and Lan Jie sat directly on the edge of the bed by the window.

After a brief greeting, Tian Yanzhen took the initiative to ask: "Have you guessed why I came to see you today?"

"Team Leader Luo said yesterday that he hadn't guessed it when you asked me about it, but I guessed it after I called Professor Xue." Qiao Yu said honestly.

"Xiao Xue is a good person. The fact that he values ​​you means you are also good. Today I just come to chat with you casually. You don't have to have any psychological burden, and don't worry about saying the wrong thing." Tian Yanzhen said with a smile.

Qiao Yu replied easily, "Well, Professor Xue told me the same thing yesterday. He said that if I'm lucky enough to meet you, I just need to stop trying to be clever and just be myself. So I don't think there's anything to be nervous about."

"Haha, this Xiao Xue... But you really don't need to be clever. After all, we are mathematicians, and cleverness is useless. We still have to rely on wisdom." Tian Yanzhen smiled.

In fact, when Qiao Yu said those words, he noticed that Team Leader Luo next to Lao Tian frowned a little, but when he saw that Lao Tian didn't care about it, his brows gradually relaxed.

Of course, Qiao Yu didn't care too much about these micro-expressions.

Although the big man in front of him is indeed a good choice for him, he is not the only choice.

Yesterday, Lao Xue also said that Academician Tian is only one of the flagpoles in the Chinese mathematics community, which means there is another flagpole. Since his paper was appreciated by this person, I believe that this person will not completely ignore it after it is published.

If he really couldn't rely on either side, Qiao Yu thought it would be okay to go to Yujiang University to seek refuge with Lao Xue.

Although Lao Xue said he was not good enough and could not handle anything, Lao Xue's mentor was awesome! He was a real Fields Medal winner. He could find a way to get in touch with his mentor's mentor through Lao Xue's connections, so Qiao Yu was really relaxed and did not feel nervous at all.

"I read the paper you were going to submit to the Journal of Number Theory. It's very well written. But I'm more curious about the story Xiao Xue told me. When you saw his equation on the forum, had you really not yet systematically studied algebraic number theory?"

After laughing, Tian Yanzhen asked seriously.

"You can't say I haven't studied it systematically, right?" Qiao Yu thought for a moment and replied, "I've read a lot of articles and watched a lot of videos before. During that time, Teacher Lan happened to give me a copy of his treasured book "Algebra and Number Theory", and I've almost finished it."

"Oh? Which version of "Algebra and Number Theory"? " Tian Yanzhen asked.

"Written by Mr. Feng Keqin." Qiao Yu replied immediately.

This name left a deep impression on Qiao Yu. In fact, Qiao Yu now had a deep impression of all the names of people with the surname Feng. Even von Stroevsky was imprinted in his mind...

Tian Yanzhen nodded, looked at Lan Jie who was sitting next to Qiao Yu with an embarrassed look on his face, smiled, and asked, "So you watched some scattered videos on the Internet and read a number theory textbook, and then solved the equation by yourself?" "Huh... It's not that easy. You don't know, I was so angry during that period. I had no idea what to do with the equation in the first three days. I couldn't find a way to solve it. I really suspected that the equation had no integer solution at all, and I even complained on the forum at that time.

As it turned out, at that time, I didn’t know it was Professor Xue. He replied on the forum that based on the future mathematical life, there would definitely be an integer solution. There was also a group of people who were mocking me. I felt very angry at the time!

But since everyone said there was a solution, I analyzed it more carefully and found related articles to study them carefully. Later, I found that the equation was a smooth projective curve with a genus of 1 on the domain, and then I suddenly found inspiration.

The breakthrough was found by simply simplifying the equation into a closed elliptic curve problem. The next step was to repeat the calculation process over and over again to find the point where all three values ​​are positive integers.

It really took me ten days to figure out this equation. In addition to studying at a set pace in the morning, I spent the afternoon and evening solving problems. Sometimes I stayed up until two or three in the morning! "

Qiao Yu described it vividly.

He was indeed deeply impressed by that period, after all, it was probably the first time he put all his effort into solving a math problem.

After that, Qiao Yu continued, "By the way, I did a lot of thinking and summarizing on this question every day, and I copied them all to the computer the school gave me. Would you like to take a look?"

"Oh? Then I really want to take a look." Tian Yanzhen said with great interest.

The computer was already on. Qiao Yu stood up, walked to the table, and clicked the mouse. A paused video about the zeta function appeared, but Qiao Yu quickly minimized it and opened the D drive...

At this time, Team Leader Luo, who had been standing by without saying a word, was a little confused.

He knew that Qiao Yu won the gold medal in the number theory group at the Xiaolibaba International Mathematics Competition. He was also aware that Qiao Yu got the only full score in Xingnan in this provincial league.

But he didn't know that this guy had solved an equation in a number theory forum and even wrote a paper to submit to an internationally renowned mathematics journal. He had never heard anyone from Tieyi Middle School mention this.

Thinking of this, he turned his head and looked at Ranger sadly.

Langjie keenly felt Captain Luo's gaze and then smiled politely.

Although he knew that Qiao Yu had solved the equation Xue Song had posted on the mathematics forum, he did not know some of the details. This was the first time he had heard of it.

As for some things that were not communicated to the higher-ups...

It seems that he can't be blamed for this, after all, no one has asked him. And the paper has not been published yet, and if he talks about it everywhere, it seems like he is showing off. And Ranjie is not the kind of person who likes to show off everywhere. Anyway, he doesn't have much aspirations, and it's good enough to be a high school math teacher for the rest of his life.

In fact, there are two types of people in schools and similar public institutions who really work hard to support the business of the unit. One type feels that they still have hope and work hard to be responsible to the leaders; the other type is that although they are very satisfied with the current situation and have no motivation to climb up, they still work hard for their conscience...

Obviously, Ranger belongs to the latter, so people with his personality naturally don’t care what their leaders think of him, not to mention that a team leader cannot be considered his leader.

So I just laughed it off.

However, Tian Yanzhen was carefully browsing Qiao Yu's daily summary documents in front of the computer.

Qiao Yu did a really good job in this area. Not only did he take notes when he was solving the equation, he also kept various backups and records when he was writing papers and watching videos, as well as his experience.

He even helped his seniors revise their papers and recorded his ideas in the literature they read.

Especially when some senior students cited literature incorrectly, he would even analyze the reasons for such stupid problems in his daily thinking summary report.

Of course, Qiao Yu recorded these not to teach his seniors who only gave him one lesson fee, but to keep them for backup. In case he really becomes a professor in the future and can lead students to do projects, he can't let his own students be embarrassed like this.

In addition to these, there are also the various insights that Qiao Yu gained after appreciating the beauty of mathematics, and even a complaint about an Olympic Games question that destroyed the beauty of mathematics...

Of course, Qiao Yu did not intend to show this part to Academician Tian.

He shared his mental journey of solving equations, or his insights into mathematics, because this is the thing that Qiao Yu is most proud of after he started studying mathematics seriously. It is natural for him to show off a little when he is allowed to be his true self.

Especially in front of an academician.

However, seeing Academician Tian reading through the articles with great interest, Qiao Yu was a little confused again...

After all, this thing was written for himself to read, and it contained a bunch of messy stuff, for example, he complained a lot about some unreliable senior brothers.

"Um, Professor Tian, ​​this is the last article on the idea of ​​solving equations."

"Oh, these shouldn't be very private diaries, right?"

"That's not the case, but..."

"Is that so? Then I'll just flip through it casually."

Qiao Yu felt a little regretful. Lao Tian had already moved his mouse to the upper right corner, ready to click the close button...

"Huh? Xiao Xue also asked you to help review his students' papers?"

"Forehead……"

Before Qiao Yu could think of how to answer, the boss suddenly asked, "Are the private trainers in Xingcheng so cheap? Yours is obviously too cheap, isn't it?"

This is... a close friend!

The boss didn't even say cheap, but used the word cheap...

“If you think about it this way, you are already a graduate student, and you haven’t mastered some of the most basic things when writing your thesis, which means your family must be well-off.

At least the students I have seen who come from poor families but still insist on taking the postgraduate entrance examination, by the time they need to complete an independent thesis, they have already mastered the most basic things.

Especially those graduate students who are confused even in mathematical logic when proving theorems, most of them come from good families, and even many of them have future jobs arranged.

It just requires a diploma from a prestigious university. Your higher fees will not have any impact on their lives. Right, Professor Luo?"

After saying that, Tian Yanzhen turned around and asked Team Leader Luo next to him jokingly.

"Haha, yes! We have such students in Xingnan Normal University." Team leader Luo suppressed his surprise and agreed with a smile.

Wow, Qiao Yu can actually tutor graduate students on their papers?
Isn't this too outrageous?

No wonder he was caught by the big boss's eye.

"I have another point to commend you. When you were reviewing papers for your seniors, you took the initiative to do some extended reading to expand your knowledge. I have taught so many students, but not many of them would take the initiative to do this. This is a very good habit. You must stick to it. It will be very helpful to you in the future."

"Okay." Qiao Yu answered honestly.

After hearing this answer, Tian Yanzhen smiled and finally moved the mouse to close the document where Qiao Yu recorded his daily learning insights and various complaints.

Fortunately, I haven't finished reading it, as there are still many of his various complaints that I haven't read.

After closing the file on the computer, Tian Yanzhen turned around, looked at Qiao Yu and said kindly: "How about this, after the new year, come to Yanbei University to adapt to university life. When the national team training starts, you can still participate normally. The results don't matter. When the summer semester starts, you can directly enter the Yanbei Mathematics School's Elite Class. How about that?"

Qiao Yu was stunned, mainly because he didn't expect Lao Tian to be so direct. He thought they just came here to have a casual chat today.

Then he thought of what Lao Xue had repeatedly told him that day, and asked, "Um... is it a bachelor's, master's, and doctoral degree program? If so, who will be my future advisor?"

After hearing what Qiao Yu said, Team Leader Luo next to him opened his mouth, but in the end no words came out.

　PS1: Dear book friends, the 13th day of checking in for the -word update is completed!

　　PS2: Qiao Yu is going to college soon, and he still lacks the travel expenses to Beijing. He urgently needs your monthly ticket support!
　　PS3: I would like to recommend a new book to you: A friend of mine who is very good at writing folklore has switched to fantasy and created a new book called "Starting from the Kingdom of God in the Palm of Your Hand"

　　
　
(End of this chapter)