The opening ceremony was very lively.

Unlike the school's orientation meeting, after the big shots gave their speeches, there was an hour of cultural performances. Unlike those boring meetings, the opening ceremony did not last long for the big shots to make speeches or deliver speeches.

First, the principal of the host school spoke, then a senior official from the School of Mathematics of Yujiang University came to speak, Academician Tian came third, and finally, a provincial leader from Yujiang Province announced the official opening of the winter camp after his speech. IV. The individual speeches, plus the formal playing of the national anthem before the meeting, took less than half an hour in total.

Next is an hour-long cultural performance.

The opening ceremony officially started at nine o'clock and ended on time at 10:30, and then spent another half hour taking photos at the school track and field. Then, with the cooperation of the team leaders, the staff took the contestants to visit the campus and get familiar with it. The examination room for tomorrow's competition.

After the process was completed, the team leaders of each competition area took a final count of the number of people and then returned to the hotel. After dinner, the entire afternoon and evening were the time for the campers to communicate freely. It was said to be free communication, but in fact it was free activities.

As long as you don't miss the time for each competition area team leader to count the number of people at 10 o'clock every night, the organizer doesn't care what the campers do. However, the personalities of the competition area leaders are different, and they have different requirements for the contestants.

A prudent team leader will ask all contestants to stay in the hotel only. In order to fear that something unexpected will happen if everyone is too free, they may simply arrange two papers for each person in the afternoon, or let everyone stay in the hotel to make friends. Be more relaxed. As a team leader, it is also allowed as long as the players take a leave and go out for a walk together to see the local customs of Ningshui. Of course, they must ensure that they return to the hotel before the head count every night.

Leader Luo from Xingnan belongs to the latter, but the requirements are slightly stricter. For example, during the winter camp, you can only eat in hotels specified by the organizer. You are not allowed to eat out, let alone order takeaways. The main reason is that you are afraid of eating bad during the exam. After getting pregnant, the influence will be exerted. Of course, Qiao Yu will definitely not be able to ask for leave today.

After Qiao Yu had lunch, he took a nap in his room for half an hour. After getting up, he started looking for more basic mathematics videos on the Internet as usual. For example, Qiao Yu's favorite video recently was about analyzing the Riemann function from various angles.

For Qiao Yu, functions are indeed a very interesting research point. They are closely related to the distribution of prime numbers, and at the same time they can give a glimpse of the beauty of infinite series. Moreover, functions can be extended to almost the entire complex plane through analytical continuation. Of course, in the end, functions can be extended to almost the entire complex plane. The important thing is that Qiao Yu feels that functions are helpful in solving the problem of factoring large prime numbers, although the connection between the two is not obvious now.

For example, by completely analyzing functions, it is possible to find out how prime numbers control the behavior of certain complex functions. As we all know, the zero-point distribution of the Riemann function is closely related to the distribution of prime numbers among natural numbers.

If the zero point distribution of the B function has a hidden structure that can be directly linked to the relationship between the zero points with a real part of 1/2 on the complex number plane and the factorization properties of specific integers, it may be possible to make the factors of large prime numbers Decomposition becomes simple and efficient. For example, directly using the zero point of the function to construct a formula for mapping composite numbers and their prime factors, and forming an algorithm, and then bringing large integers into this formula, you can quickly find Its prime factor.

In this way, the most mainstream RSA encryption algorithm will be self-defeating. 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

Key, the mainstream encryption principle of the entire Internet is self-defeating.

See, a series of principles of number theory are actually so simple to say that even elementary school students can understand them. But when you actually practice them, you will know how difficult it is.

At least a seemingly simple Riemann hypothesis only needs to prove that all non-trivial zero points of the function are located on the straight line with a real part of 1/2 on the complex plane.

The result is that a full 165 years have passed since Riemann proposed this problem, which is equivalent to more than 60,000 days and nights, but no one has been able to solve it. This is after all mathematicians know that once they can solve this problem, they will directly become famous.

Medals and bonuses are obtained when the hand is soft.

But then again, this is actually the fun of mathematics. If every problem is solved easily, there will be no fun at all.

For Qiao Yu, this kind of mathematical problem is nothing more than a game of finding patterns. By connecting related numbers through a pattern that no one else has discovered yet, he can make a lot of money. But this pattern is hidden.

It's very deep and it's not that easy to find.

Just when Qiao Yu was scrolling to the third video, there was a knock on the door. Lan Jie, who had been looking at his phone on the bed, stood up, but instead of opening the door, he winked at Qiao Yu. "Here he comes.

." Qiao Yu quickly stood up and went to open the door.

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

In fact, he was a little surprised, mainly because he didn't expect Academician Tian to come to him on his own initiative. He thought that this afternoon it might be Team Leader Luo who notified Lan Jie at short notice and took him to visit Academician Tian. If he was looking for him

In the past, it was probably just a chat alone, but taking the initiative to come here to find him probably means that today is a pretty ordinary conversation. After all, we can't drive away Leader Luo and Lan Jie, right?

"Academician Tian, ​​Team Leader Luo, okay, Academician Tian, ​​Team Leader Luo, please come in." Qiao Yu said politely. Yesterday, Lao Xue specifically explained that he was still a child and he just needed to be himself honestly. Qiao Yu said to

My true understanding is that he is probably a good boy who is polite and knows how to advance and retreat in front of his elders. "Okay, I'm here unexpectedly, so I won't disturb your rest, right?" When Tian Yanzhen walked into the room, he asked casually. "No, I

I usually take a nap for half an hour and wake up early."

"Academician Tian, ​​hello, I am Qiao Yu's Mathematical Olympiad tutor at school. My name is Lan Jie. Please sit down." Lan Jie, who was standing in the room, saw Tian Yanzhen and said hello quickly.

"Hello, okay, stop standing, everyone, sit down, sit down."

There were only two stools in the room in front of the table by the window. Tian Yanzhen and 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 exchange of greetings, Tian Yanzhen and Leader Luo sat on the stools.

Yan Zhen took the initiative and asked, "Have you guessed the reason why I came here to see you today?"

"You didn't guess it when Team Leader Luo came to ask about me yesterday, but I guessed it after I called Professor Xue." Qiao Yu said honestly.

"Xiao Xue is a good person. If you are valued by him, it means you are also good. Today I am just here to have a casual chat with you. You don't have to feel any psychological burden, let alone 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 am really lucky enough to meet you, I just need to stop being clever and just be myself. So I also I don’t think there’s anything to be nervous about.”

"Haha, Xiao Xue... But you really don't need to be clever. After all, we are mathematicians, so cleverness is of no use. We still have to rely on great wisdom." Tian Yanzhen said with a smile. In fact, Qiao Yu said When he said those words, he noticed that Team Leader Luo next to Lao Tian frowned a bit, but seeing that Lao Tian didn't pay attention to this, his eyebrows gradually relaxed again.

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

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

Yesterday, Lao Xue also said that Academician Tian is just one of the flagpoles in the Chinese mathematics community, which shows that there is another flagpole. Since his paper can be appreciated by this person, I believe that he will not completely ignore it after it is published. If In fact, neither of them could rely on him, so Qiao Yu felt that it was not impossible to join Lao Xue at Yujiang University.

Although Lao Xue said that he was not good and could not handle anything, Lao Xue’s mentor was awesome! He was a serious Fields Medal winner. When the time came, he would find a way to use Lao Xue’s relationship to get along with his mentor’s mentor. Going online is also a way, so Qiao Yu is really relaxed and doesn't feel nervous at all.

"I read the paper you were going to submit to the Journal of Number Theory. It was very well written. But I was more curious about the story Xiao Xue told me. When you saw his equation on the forum, I was really surprised. Haven’t you systematically studied algebraic number theory?”

After laughing, Tian Yanzhen asked seriously.

"You can't say that you haven't studied systematically at all, right?" Qiao Yu thought for a while and replied: "I had read a lot of articles and videos in bits and pieces before. During that time, Teacher Lan gave me his treasured copy of " "Algebra and Number Theory", I've almost finished reading it." "Oh? Which version of "Algebra and Number Theory"?" Tian Yanzhen asked.

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

This name is very impressive. In fact, Qiao Yu is now very impressed by all the names of people with the surname Feng. Even von Strofsky is imprinted in his mind...

Tian Yanzhen nodded, glanced at Lan Jie, who was sitting next to Qiao Yu with an embarrassed look, smiled, and asked: "In other words, you watched some scattered videos on the Internet and a number theory textbook. Just solved the equation on your own?"

"Huh...it's as easy as it sounds. You don't know, I was so angry at that time. I couldn't do anything with the equation in the past three days. I couldn't find a way to solve it. I really doubted the equation. There is no integer solution at all, and I even complained on the forum at that time.

As a result, I didn’t know it was Professor Xue at that time. He replied on the forum that in the future mathematical life, there will definitely be an integer solution. There were also a bunch of people there who were sarcastic and sarcastic. I felt very angry at that time!

However, everyone said that there is a solution. I analyzed it more carefully at that time, and found relevant articles to study it carefully. Later, the equation was a smooth projective curve with genus 1 on the domain, and then I suddenly found inspiration. I directly put the equation into

After simplifying it into a closed elliptic curve problem, we found a breakthrough. The next step is to repeat the calculation process to find the point where the three values ​​​​are all positive integers.

Really, it took me ten days to understand 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 said vividly.

He was indeed deeply impressed by that time. After all, it was probably the first time that he tried his best to solve a mathematical problem.

After finishing speaking, Qiao Yu said: "By the way, I also made a lot of thoughts and summaries on this question every day, and they happened to be copied to the computer given to me by the school. Do you want to take a look?"

"Oh? Then I really want to see it." Tian Yanzhen said with interest.

The computer was already on. Qiao Yu stood up, came to the table, clicked the mouse, and the paused video about functions appeared. However, Qiao Yu quickly minimized it and clicked on D... At this time

Leader Luo, who had been by his side and had not spoken a word, was already a little confused.

He knew that Qiao Yu had won the gold medal with a perfect score in the number theory group at the Little Libaba International Mathematics Competition, and he also knew that Qiao Yu had received the only perfect score in Xingnan in the provincial league this time.

But this kid solved an equation in the number theory forum, and even wrote a paper to be submitted to an internationally renowned mathematics journal. He really didn't know about these things. He didn't hear anyone from Tieyi Middle School mention it. Thinking of this, he couldn't help but feel depressed.

He turned his head and glanced at Lan Jie.

Lan Jie keenly felt Leader Luo's gaze, and then smiled politely.

Although he knew that Qiao Yu solved the equation that Xue Song posted on the mathematics forum, he didn't know some of the details. It was the first time he heard about it today. As for some things that he didn't catch up with...

It seems that we can't blame him, after all, no one has asked him. Moreover, the paper has not been published, and what he says everywhere is like showing off. Lang Jie is not the kind of person who likes to show off everywhere. Anyway, he is not too big.

My pursuit is to be a high school math teacher for the rest of my life.

In fact, there are two types of people in schools and similar institutions who are really working hard to support the business of the unit. One type is those who feel that they still have hope and work hard to be responsible to their leaders; the other type is that although they are very satisfied with the status quo, although

I don’t have much motivation to climb up, but I still work hard for my conscience.

Obviously Lang Jie belongs to the latter, so a person with his temperament naturally doesn't care what his leader thinks of him, not to mention that even a team leader can't be considered his leader, so Xiaoxiao just let it go.

Tian Yanzhen, on the other hand, was in front of the computer and carefully browsing Qiao Yu's daily summary documents.

Qiao Yu did a really good job in this area. He not only took notes when he solved the equation problem, but also had various backups and records when writing papers and watching videos, as well as his experiences. He even helped his fellow seniors revise their papers and expand the literature they read. , all recorded his thoughts.

Especially when some seniors cite documents incorrectly, they will even analyze the reasons for such mental retardation problems in their daily thinking summary reports.

Of course, Qiao Yu recorded this not to teach his fellow seniors who only gave him a tuition fee, but to keep it as a backup. If he really became a professor and could lead students to do projects in the future, he could not let his family do it. Students are also so embarrassed. In addition to these, there are also Qiao Yu's various insights after appreciating the beauty of mathematics, and there is even a complaint about an Olympiad question that destroys the beauty of mathematics...

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

The reason why he shared his journey of solving equations, or his mathematical insights, was because this was the thing that Qiao Yu was most proud of after he started to study mathematics seriously. He naturally had to sing a little if he was allowed to be his true self. Especially. It was in front of an academician.

However, Qiao Yu was a little confused again when he saw Academician Tian reading through the articles he was very interested in...

After all, this thing was written for him to read, and it contained a lot of messy stuff. For example, he often complained about some unreliable senior brothers, "Well, Professor Tian, ​​this is the last article about the idea of ​​solving equations."

"Oh, these aren't the kind of very private diaries, are they?" "That's not really the case, but..."

"That's it, then I'll look through it casually."

Qiao Yu regretted a little. Lao Tian's mouse had already moved to the upper right corner, and he was about to click the close button... "Huh? Xiao Xue also asked you to help review the papers of his students?"

"Forehead..."

Before Qiao Yu could think of how to answer, the boss suddenly said: "Are your personal trainers in Star City so cheap? You are obviously too cheap, right?"

This is...a confidant!

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

"If you think so, you are already in the postgraduate stage. When you are writing the thesis homework, you have not mastered some of the most basic things, which means that your family must not be short of money. At least I have seen people from poor families who still insist on taking the postgraduate entrance examination. When students need to complete independent papers, they have already mastered the most basic things very solidly. Especially these graduate students who are still confused in mathematical logic when doing theorem proofs. Most of them come from very good families, and even many of their future jobs are difficult. It’s been arranged. It just requires a diploma from a prestigious university. If you charge more, it won’t have any impact on their lives at all. Right, Professor Luo.”

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

"Haha, yes! We also have students like this at Xingnan Normal University." Leader Luo suppressed his surprise and echoed with a smile. Good guy, Qiao Yu can actually tutor graduate students in their thesis?

Isn't this too outrageous?

No wonder he was included in the big boss's eyes.

One more thing I want to praise you for is that when you help your fellow seniors review their papers, you will take the initiative to do extended reading to increase your knowledge. I have taught so many students, but not many will take the initiative to do this. This is a habit. Very good, be sure to stick to it, it will be very helpful to you in the future.”

"Okay." Qiao Yu replied honestly.

After hearing this answer, Tian Yan really smiled, and finally moved the mouse to close the document where Qiao Yu recorded his daily study insights and various complaints. Fortunately, it was not finished, and there were still a lot of his various complaints. Didn't watch it.

After closing the files on the computer, Tian Yanzhen turned around, looked at Qiao Yu and said kindly: "In this way, after the new year and the start of school, come to Yanbei University to adapt to university life. When it is time for the national team training, you will still be normal. How about I go and take part, my grades don’t matter, and I can directly enter the elite class of Yanbei Institute of Mathematics when the summer semester starts?”

Qiao Yu was stunned, mainly because he didn't expect Lao Tian to be so direct. He thought he was just here for a casual chat today.
Chapter completed!