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Chapter 176 I must be telling you the truth!

Qiao Yu received a photo of the two of them on WeChat, with Senior Brother Chen smiling silly. Qiao Yu glanced at it and ignored it.

How should I put it? This is what young people who have never been in a relationship are like. Once they have a girlfriend, they can't wait to announce it to the world.

Little do people know that showing off one’s affection will lead to a quick death.

But it is understandable that for a man who has been single for thirty years, it is normal to be slow in this aspect.

The next day, although school had not started yet, it was the end of the Spring Festival holiday and the first day of work, so Lao Xue called Qiao Yu.

Discuss,the problem of spatialization of affine Weyl groups.

Yes, under Qiao Yu's suggestion, Lao Xue has already started to deal with this problem. Anyway, it is related to group theory, and Professor Xue happened to be busy with related problems recently, so it's a good opportunity for them to study it together.

The main reason was that Director Tian pushed too hard and Qiao Yu really had no interest in this issue.

Of course, this is also good for Xue Song. The 1.5 million yuan of research funds from Zhang Yuanling have arrived, and participating in this research can naturally get reimbursement from it.

Qiao Yu was essentially helping Xue Song get a project, but this project was not so easy.

Because the affine Weyl group has reflection and translation effects in high-dimensional space, especially the geometric characteristics of the bilateral cell are highly complex.

Therefore, it is necessary to first determine the relationship between the modal path Γ and the group action invariants and ensure that these symmetries are compatible with the periodicity of the modal space.

For example, if the modal distance dM defined in the modal space is used as the geometric distance to weigh group actions, it is necessary to prove that dM is conservative under group actions.

This was obviously very troublesome. Xue Song couldn't find a way to prove it, so he called Qiao Yu.

This is probably the treatment of authority.

When people encounter a professional problem and don’t know how to solve it for a while, the first person they think of who can provide help is naturally a well-deserved authority.

Qiao Yu, whose mind seems to be extremely active recently, was indeed very helpful. He directly gave Xue Song two suggestions: equivariant mapping and invariant theory.

Of course, these are just suggestions. How to use these tools to complete the proof is Xue Song's job.

After all, Qiao Yu was also very busy. He still felt that he was only a thin layer of window paper away from figuring out the Riemann hypothesis.

It is naturally impossible to focus on these small projects.

Even those who don’t understand mathematics know that the Riemann hypothesis can bring greater value, whether it is fame or fortune.

However, after the academic discussion, Qiao Yu still gossiped a little: "Teacher Xue, Chen Zhuoyang and Zhang Xiao are together, you didn't know yet?"

"Oh? Chen Zhuoyang told Zhang Xiao?"

"Huh? You also know that Chen Zhuoyang likes Zhang Xiao?"

"I'm not blind. Chen Zhuoyang's behavior was obvious on your birthday."

"So you really don't plan to find one?"

"Forget it! I'm past that age now. How can women be as interesting as mathematics?"

"Teacher Xue is still very insightful!" Qiao Yu praised sincerely.

Of course, I just exclaimed in admiration.

People have different feelings at different ages. For example, Lao Xue, who is almost 40 years old, has almost stopped secreting hormones. Naturally, he has no interest in women.

"By the way, what have you been busy with recently? Are you still focusing on the calculation problems in aviation?"

After talking about the insignificant love, Xue Song took the initiative to express his concern.

In fact, he also wanted to persuade Qiao Yu not to waste too much time on these computational problems. After all, the generalized modal axiom system has already triggered a wave of research enthusiasm in the international academic community.

It is generally acknowledged that although the axiom system constructed by Qiao Yu is also very abstract, it is easier to understand at least in the early stages compared to the Langlands Program.

Xue Song has been doing research in this area, so he may even pay more attention to the international academic community's discussion on the generalized modal axiom system than Tian Yanzhen and Yuan Zhengxin.

At least as far as he knows, several research teams have begun trying to expand the framework built by Qiao Yu in geometric algebra and physical dynamic systems.

Because of the possibility of geometricization and application, this framework is easier to promote in the early stage. In particular, the universality of geometric description is more attractive to many young people.

After all, Qiao Yu has used this system to reduce the upper limit of prime numbers to 6.

If this trend continues, Xue Song can foresee that Qiao Yu's generalized modal axiom system may be called the Qiao Yu Program next year.

This can be seen from the number of citations of the paper published by Qiao Yu in Ann.Math.

Only three months have passed, and the number of citations has exceeded 900, heading towards breaking .

You should know that this is a phenomenal number of citations in the field of mathematics. It is extremely rare for papers in the field of pure mathematics to reach this level.

Not to mention three months, even papers that have reached nearly a thousand citations over several years are generally those with major breakthroughs.

The last time such a grand occasion occurred was in 2012 when Geoffrey Hinton et al. published a machine deep learning paper in the ImageNet Challenge, which was cited over a thousand times in three months.

Although that paper involves a lot of mathematical content such as linear algebra and probability theory, its essence is still dominated by computer science.

Qiao Yu's article belongs to the field of pure mathematics and is not interdisciplinary. This shows the current popularity of the generalized modal axiom system in the world of mathematics.

In addition to the ability of the system itself to solve a series of problems, it is also because it can unify those complex mathematical symbol problems, which is also the reason why it is sought after by young mathematicians.

So in Xue Song's opinion, Qiao Yu was somewhat distracted from his job. It was okay to have a romantic relationship, but there was no need to get involved in calculations.

Anyway, if he were in Qiao Yu's place, what he would do now would definitely be to continue to deepen the research on this system, develop more modules, and try to solve several major problems by the way, so as to establish his position in the mathematics community.

It would be a real pity if those foreign teams came later and got there first, and Qiao Yu lost his position at the center of this wave of enthusiasm.

Of course, Xue Song does not mean that aviation projects are not important. The main point is that we should prioritize things. For example, Qiao Yu's development path should obviously be biased towards mathematics.

So if Qiao Yu said yes, he would have tried to persuade her. But Qiao Yu's answer discouraged him...

"No, actually the calculation problem over there is very simple. The main modules have actually been designed. Brother Chen and his team are in charge of the specific work.

So my main focus recently is on solving the Riemann hypothesis. I have a feeling that we are very close to solving the prime number problem! You know, I didn’t plan to work on this problem, ah…”

Qiao Yu replied.

To be honest, he had not originally intended to work on the Riemann hypothesis. Not only was the subject too big, but it was also impossible to directly tell everyone the location of a specific prime number.

The proof could even make it easier to find prime numbers, strengthening algorithms like RSA encryption.

For example, it is easier to generate larger and more secure prime numbers to prevent existing key lengths from being easily broken.

And Qiao Yu has not yet found a more effective large integer decomposition algorithm from this process. On the mathematical level, the number field screening method is still the most effective large integer decomposition algorithm.

As for the so-called quantum chip developed by Google, using Shor's algorithm to threaten RSA keys is still in the theoretical stage. After all, it is not so easy to break through the stable operation of quantum chips.

Of course, Qiao Yu felt that what he said was very sincere, but when it fell into the ears of others, they could only know how it felt.

Xue Song was so choked that he even forgot what he wanted to say just now. Only four words remained in his mind - Riemann hypothesis.

"Well, the Riemann hypothesis, right? Very close? How close? Can it be solved soon?"

"I don't know. I'm trying to prove that my feeling is correct. This involves a question of direction. But Mr. Xue, you should know that my feeling has not been wrong so far."

After saying this, Qiao Yu felt that it was not rigorous enough, and quickly added: "No, I mean that I haven't missed the feeling in mathematics yet."

Yes, that sentence just now reminded Qiao Yu that he had just guessed wrong once. He originally thought that Zhang Xiao would not like the type of Senior Brother Chen, but obviously he was wrong.

After all, humor is simply invincible. He still hasn't figured out what's so funny about Chen Zhuoyang.

"Oh, then if your judgment is correct, when can this problem be solved?" Xue Song asked again.

After all, that is the Riemann hypothesis.

The mathematicians or teams who are openly researching related propositions are all top mathematicians, whether they are alive or dead.

For example, Pompieri, Polya, Pierre Delini. Some people have claimed to have proved the Riemann hypothesis, but unfortunately they were not recognized by their peers. The famous one is Sir Atiyah, and the less famous one is Louis de Bruyne, a professor at Indiana University.

Of course, strictly speaking, Qiao Yu is now considered one of the world's most renowned mathematicians.

Even though he was only a 16-year-old student, his generalized modal axiom system was highly sought after in the world of mathematics, and his name was also known by many young mathematicians.

"It's hard to say. Three months or half a year is possible. But it will definitely not be more than half a year! If my judgment is correct, then the next step is to use some stupid methods to prove it.

You know, stupid methods are a little slower, but as long as the direction is right, at least you won't waste time starting over again because you find that this road doesn't work."

Qiao Yu answered truthfully.

It's not that he doesn't want to talk about it in detail, it's mainly because his work is not finished. It's useless to say more.

Xue Song didn't know how to ask.

After all, it is impolite to pry into details that others are still studying.

He didn't know what to ask. Even if he could solve the Riemann hypothesis in half a year, it was already difficult for him to imagine.

If he succeeds, there is no doubt that Qiao Yu will become a leading figure in the world of mathematics.

As for the stupid method mentioned by Qiao Yu...

Well, the technical means to solve the Riemann hypothesis are beyond the reach of a group of people, no matter how stupid they are.

"You know what, Mr. Xue. In fact, I can discover this law thanks to Chief Engineer Yu. I was studying what they needed to calculate, and then I discovered this law."

"Is that so?" Xue Song answered casually. Well, actually he didn't know what he was saying anymore.

After chatting with Qiao Yu for a few more words, he hung up the phone.

It was only after he hung up the phone that he remembered that he had wanted to tell Qiao Yu not to focus too much energy on those calculations.

As a result, this kid Qiao Yu found inspiration by helping others with these calculations. Who can he complain to?
There are only some people who are just fed by God, and they are fed directly into their mouths even if they don't want to eat. Thinking of this, Xue Song felt much calmer.

There is no way, there are such people in all walks of life, you can't help but admit it! It's just that Qiao Yu happened to shine in the field of mathematics.

After thinking too much, Xue Song felt a little dizzy and planned to go out for a walk to calm down.

As a result, just as I went down to the yard of the research center, I happened to meet Tian Yanzhen walking in.

Xue Song quickly stopped and greeted him: "Good morning, Professor Tian."

"Xiao Xue, what are you doing so early in the morning?" Tian Yanzhen asked.

"Oh, I was thinking about a problem last night and it made me dizzy. I discussed it with Qiao Yu this morning and felt that I had made some progress. I plan to take a walk by the lake to see if I can figure out the problem."

Xue Song answered.

Working in mathematics doesn't necessarily mean staying in the office.

Sometimes when you have no ideas, you may just go out for a walk and an idea may come to you. This is normal. As long as you don't go out during class, no one will mind.

"Oh, you should wear more clothes when you go out. It's cold outside." Tian Yanzhen reminded.

Although the Spring Festival has passed, it is not yet February, the time to turn off the heating in the north, and even the temperature during the day is only a few degrees.

"It's okay, I'm used to it."

Xue Song smiled and responded. He was about to leave, but for some reason he reported again: "By the way, Qiao Yu should have reported to you, right? He has an idea to solve the Riemann hypothesis."

Tian Yanzhen, who had already taken a step forward, stopped, looked at Xue Song, and asked, "What did you just say about Qiao Yu?"

Xue Song was stunned. He remembered that Qiao Yu loved to report his work to his supervisor. When attending a seminar, he would report his thoughts, but judging from Tian Yanzhen's reaction, it seemed that he hadn't said anything yet?

But since he had said it, he naturally couldn't take it back, so he smiled and said, "Maybe he wanted to give you a surprise? When I just talked to him on the phone, he said he was studying the Riemann hypothesis recently."

"Riemann hypothesis? Are you sure that guy is not joking?" Tian Yanzhen asked seriously.

Xue Song shook his head and replied, "He's definitely not joking. After all, he said he already has a general idea. But he also said that the method of proof is a bit stupid. But I don't want to ask what the specific method is. He also estimated that he could prove this problem within half a year."

"Oh, I see." Tian Yanzhen nodded and his expression returned to normal, but he asked again: "Is he studying this now?"

"I just went to see, there was no one there. He should be in Huaqing. After all, the New Year is not over yet. He must still want to stay with his mother. After all, he is still young." Xue Song helped Qiao Yu explain.

"Oh, I see. Fine then, I won't delay your walk. Go ahead."

After chatting, the two said goodbye and left.

After walking out of the yard, Xue Song thought about it and took out his phone to send a WeChat message to Qiao Yu. Although Qiao Yu told him casually and did not specifically ask him to keep it secret, Xue Song still felt that he should tell Qiao Yu.

How to say it, although it is clear that Qiao Yu is only sixteen years old, but at this level, everyone subconsciously no longer regards Qiao Yu as a child.

"I just ran into Professor Tian when I went out, and I chatted with him about your research on the Riemann hypothesis. I didn't know you hadn't told Professor Tian yet, sorry."

WeChat didn't reply immediately, but Xue Song didn't care too much. Thinking about it carefully, although Tian Yanzhen looked normal, she probably couldn't help but call to ask for clarification when she heard the news, right?

Anyway, if he knew that his students were challenging this difficult problem and had some experience, he would definitely call to show his concern as soon as possible. This is also human nature.

Wait, he doesn't seem to have a student like Qiao Yu. Thinking this way makes people feel more relaxed.

It is difficult to teach such problem students.

……

Xue Song’s guess was indeed correct.

As soon as the two said goodbye and Tian Yanzhen walked into Building No. 1 where he worked, he took out his cell phone and called Qiao Yu.

Even the words spoken were similar to the messages sent.

"Qiao Yu, I ran into Professor Xue when I came to the office just now. He said you are studying the Riemann hypothesis?"

"Huh? Professor Xue told you. I was planning to report this to you after I finished the first step."

"What do you mean by completing the first step?"

"It's to make sure that my idea is correct. First of all, I must prove that I can perform a modal mapping on the zero point problem of the zeta function, and then give the complete proof process, right?"

"Didn't you say before that you were still short of tools?" Tian Yanzhen asked with a frown.

"It's quite a coincidence. When I was working on the orbital perturbation modal model for the Institute of Aeronautics, I found that the normalized relationship was highly consistent with the ζ function.

Therefore, as long as we can prove that if we can prove that the former is distributed under the conditions defined by the zeta function, the integral has the same analytical structure and convergence properties as the zeta function, then we have proved that there is consistency.

Although one is a continuous integral and the other is a discrete summation, we only need to use the Poisson summation formula or the Mellin transformation to establish an equivalent relationship between the continuous integral and the discrete summation.

I am still considering which mathematical tool would be easier to prove. As long as this step can be achieved, since the aviation data can be processed, the Riemann function can also be processed.

Once the modal mapping step is completed, the next step is easy. Modal paths, constructing modal convolution to verify distribution, and even using energy functions to verify modal theory tools can all be used. The proof is naturally easy..."

"Okay, stop talking. Is it true what Professor Xue said that you can have results within half a year?" Tian Yanzhen interrupted Qiao Yu directly. He was too lazy to listen any further.

Now, everything that comes out of Qiao Yu's mouth sounds simple, but once you really try it, you will know how difficult it is.

During the Chinese New Year period, Liu Zhaoyuan from the Institute of Computing Technology told him twice, asking him to remember to arrange for Qiao Yu to go there and give a lecture to the team.

Those things that Qiao Yu said were very simple and obvious, but the research team formed by the other party still had a lot of question marks.

"Well... Actually, I was just bragging to Professor Xue. Let me be honest with you. I should be able to solve this problem in one year, at most."

"Boasting? Are you telling the truth to Professor Xue or to me?"

"Of course I'm telling you the truth! If I can finish ahead of schedule, it must be because you taught me well. I have improved without even realizing it!"

Qiao Yu's tone on the other side sounded decisive, without any hesitation at all.

(End of this chapter)