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Chapter 179 You must have confidence first when doing things!

Everyone doted on him so much that Qiao Yu simply followed their lead and lay in bed for three whole days, enjoying a boring life of having everything provided for him.

Although Qiao Xi despised her, she still took good care of Qiao Yu. In Qiao Xi's words, she had no choice, after all, Qiao Yu was the backbone of the family.

Well, this was very comforting to hear. It also made Qiao Yu recover quickly from his cold symptoms. In fact, he had no fever the next day.

But precisely because Qiao Xi spoke so nicely, Qiao Yu simply stayed in bed for another day, enjoying this rare warm time.

All I got during these days of lying in bed was good news.

First, Qiao Yu received his scholarship and other special awards for last semester.

What Senior Brother Chen said was right, the school, college, and research center were all very generous in giving money. Of course, it could also be that the tutor was very helpful, and the income of nearly one million doubled Qiao Yu's family assets again.

This proves what the good guy said before. There is no future in playing games, and doing mathematics is the real way to make money...

This made Qiao Yu feel that it was a bit shabby to give a watch to a good man during the Chinese New Year. But there was nothing he could do, so he could only wait until the next time he returned to Xingcheng.

In addition, Professor Li Lixing of Huaqing University has completed a paper in collaboration with two foreign scholars, which is a two-dimensional generalization of Chevalier's theorem for all reduced Lie algebras and reduced algebraic groups.

Li Lixing specifically sent the paper to Qiao Yu and discussed with him the order of the authors of the paper.

To be honest, when Mr. Yuan arranged this cooperation with Qiao Yu, he wanted Qiao Yu to accumulate more experience in scientific research.

I never thought that Qiao Yu could make much contribution to the project. But the embarrassing thing is that when Qiao Yu first joined the research group, he solved the problem that had troubled the research group for a long time in just a few days.

Global functions can be described by endomorphisms of Whittaker layers, and the structure of these endomorphisms is directly related to the representation of algebraic groups. To describe it mathematically is to prove it by metaphor:

In the classical Langlands program, modular forms can be directly related to the Whittaker model represented by GL(2, Q). So it becomes a problem to arrange a few works for Qiao Yu.

After helping them solve the problem, Qiao Yu went to do other things. He had almost no time to deal with this project. After that, he rarely even attended group meetings.

Especially after Qiao Yu worked on the generalized modal axiom system, there was no news at all from their research group.

But the entire research team, Li Lixing, Zhang Xinwen and Ronald are all very clear about Qiao Yu's contribution to this project...

This is very embarrassing.

The three of them decided to work together to solve this problem because of a paper that was influential enough in the field of mathematics. It is actually quite common for three people to be co-authors.

It is not uncommon for four people to co-author a paper, but it is relatively rare. After all, mathematics is not physics. It is not uncommon for a paper to be co-authored by thousands of people.

Fortunately, what Li Lixing felt was quite a problem was not a big deal for Qiao Yu at all. He really didn't care whether there was a work or not.

It's just a paper published in a top journal. Instead of competing with others for fame, it's better to ask for more profit.

So on the phone, Qiao Yu generously said that he didn't need to be the only author, no matter how many works he wrote, just signing his name would be enough.

Then he said in a joking tone: Just don’t forget his contribution when you give out bonuses…

As for whether to submit the paper to Invent. Math. or JAMS, Qiao Yu did not give any advice.

Only those who lack papers need to worry about these things. Qiao Yu happens to have no shortage of papers, nor does he lack papers published in top journals.

All the news that came in was good news, which was definitely helpful for the condition. After all, it was just a minor cold...

In fact, he was almost well after the fever subsided. It was just that Qiao Yu felt that it was a rare period of free time, so he simply lay on the bed to empty his mind and stop thinking about nonsense.

Not to mention, the effect is very good.

After resting for a few days, Qiao Yu felt that his brain had become more sharper, and it was not an illusion.

People can actually sense how sharp their brains are. For example, many people have experienced a situation where they can’t finish a problem or a task when they stay up late at night.

But after a good night's sleep, I suddenly got the idea. I easily solved a problem that had been bothering me for a long time.

For Qiao Yu, the situation is actually similar, except that the problem is slightly more complicated.

Starting from two very similar formulas, we verify a certain equivalence between the density function ρM and the prime number counting function π(x) in the modal space through homomorphic transformation.

For example, we prove the relationship between the symmetry of modal paths and the distribution of prime numbers. We start from the high-dimensional modal space M and then build a custom path P. We verify the asymptotic law of the real number axis through the prime number theorem and introduce the Riemann series...

Then use the modal density function and path points to map, analyze the relationship between symmetry and zero points, and finally establish a homomorphic mapping and draw conclusions.

The symmetry of the modal path P is isomorphic to the symmetry of the zero point of the Riemann zeta function, that is, the density function ρM on the modal path can characterize the law of prime number distribution and transform this problem into a symmetry problem of a geometric path.

See, this question is not difficult after all...

After completing the proof, Qiao Yu carefully checked several key steps from the beginning. Well, there were no loopholes at all, and it was as perfect as ever.

Of course, this does not mean that Qiao Yu has proved the Riemann hypothesis, but he has completed the first step - he has been able to introduce the Riemann hypothesis into the generalized modal space and perform geometric processing.

This also means that modal distance, modal convolution, modal density, or other tools that are useful under the generalized modal axiom can be used on the Riemann hypothesis.

To use a not-so-appropriate analogy, for a mathematician, it is like he has tied up his secret crush on Bai Yueguang for many years in a deserted castle with a radius of ten kilometers.

In theory, all the tools in the castle can be used on Bai Yueguang.

Well, this analogy is indeed inappropriate. Especially when Qiao Yu said it, Qiao Xi was shocked...

"Why do you use such a metaphor? What's going on in your mind? Don't I know which girl you have a crush on?"

"I really admire you! Everyone else only cares about how great I am at doing this, but you are the only one who focuses on a metaphor I casually said! I already said it was a metaphor!"

Qiao Yu complained casually.

"But your analogy shows that you are not mentally healthy. You should know that mental health is more important than personal health. I suggest you go to the school's psychological development guidance center for a check-up. Do you want me to make an appointment for you?"

Qiao Xi said seriously.

Qiao Yu was stunned for a moment and asked, "Are you serious?"

"What if you do something bad? The greater your ability, the greater the damage you will cause."

"Well, I just thought of a plot from an American drama..."

"In the future, watch less of those perverted and violent movies from abroad! Especially don't watch those movies about psychopaths. For example, Hannibal, don't watch that anymore!"

"I got it. I promise I won't watch it again!" Qiao Yu answered cheerfully.

The generation gap is like this... Qiao Yu comforted herself in her heart. It is normal for a woman in her thirties to worry about things.

As for what he couldn't watch, it was actually easy to solve. He just had to move back to Yanbei from Huaqing. As long as they didn't live together, he could watch whatever he wanted.

Since childhood, Qiao Yu has understood a truth: as long as the bad things are done perfectly, it is equivalent to not doing anything bad.

It's just that it's difficult to do anything perfectly.

"So you are planning to go back to Yanbei?"

"Yes! I will go back soon. I don't feel like writing my paper here. It's better to write my paper in my little room!"

"Oh, then you should go back quickly. This will save me from having to bring you dinner in the evening. Do you want me to help you pack?"

"No need! I can clean it up myself."

"By the way, don't forget to take your medicine when you go back. The doctor said that even if you feel better, you must insist on completing the course of treatment, and you must add two more days to consolidate it!"

"understood!"

……

At the same time, Qiao Yu was thinking about writing his first paper, and Academician Lu Yanxiang, a researcher at the Institute of Mathematics and Systems Science of the Chinese Academy of Sciences, was looking at the project application he submitted.

There are not many people in the domestic mathematics community who study the Riemann hypothesis. The leader among them is probably Academician Wang. Unfortunately, after Academician Wang passed away, there was a gap in the research.

However, Academician Wang's student Zhang Shuwen is also one of the world's most famous mathematicians, with many important achievements in algebraic geometry and number theory.

Of course, this does not mean that no one in China is studying the Riemann hypothesis, but most of the published papers are concentrated in some second-rate journals.

If you are interested, you will find that many people have proposed new methods to solve various world problems.

It just didn't cause any stir in the academic community at all.

Really, as long as you make good use of search engines, you will find that the so-called millennium problems have already been solved just in the Chinese Intranet.

It’s just that the solution is a little difficult.

For example, the idea of ​​Tai Chi was used to solve the smoothness and existence problems of the NS equations, and the research on philosophy used the difference between quantized mass and classical mechanics mass as a breakthrough point to solve the mass gap hypothesis of Yang-Mills theory... In short, as long as you are bold enough and confident enough, there is no difficult problem in this world that cannot be proved.

As for why the rest of the world doesn't recognize it? Obviously, those bigwigs who control academic resources are jealous.

At this moment, Lu Yanxiang did not feel jealous at all, just helplessness.

He believed that if anyone else submitted an application, it would definitely be rejected just by looking at the title.

Well, actually it won’t be rejected directly. After all, it was submitted by Mr. Yuan, and even out of respect for the older generation of mathematicians, it must go through the process.

But this proof of the Riemann hypothesis... the process makes Lu Yanxiang feel difficult to comment. It feels like Yuan Tian's line is either quarreling among themselves or making things difficult for others.

The last time Qiao Yu applied for a project, it was not approved, and Zhang Yuanling was laughed at for a long time. Everyone thought that if Qiao Yu applied again this year, it would definitely be a project related to the generalized modal axiom system.

That’s easy, just pass it.

After all, the generalized modal axiom system has set off a wave of research in the world's mathematical community and has become one of the most cutting-edge research directions.

But who could have thought that Qiao Yu would turn around and start working on the Riemann hypothesis again!

The Riemann hypothesis would be fine, if the topic was not so broad, for example, if it was changed to some small propositions around the Riemann hypothesis, he would have been patient and just passed it.

But right off the bat, the Riemann hypothesis is completely proven. How the hell is he supposed to evaluate this?

The project is indeed a good project!
This is a problem that has been around for hundreds of years, and everyone in the mathematics community knows about it. If we can really solve it, we can just apply for a national key project.

The key is who knows when this proposition can be solved? After all, the projects supported by the fund have time requirements, and they must be publicized!

If even such an outrageous topic is approved, what will those project and topic applicants who have been rejected for three consecutive years say?
Really, every year there are people who have the last chance to apply for relevant fund support. A lot of people are crying out for support. There are not too few young mathematics practitioners, but too many.

But there are only so many natural science funds, and every year someone gets hurt. As an expert reviewer, I can only patch things up.

Lu Yanxiang didn't even dare to think about what kind of impact Qiao Yu's project would have once it was announced.

Really, when Lu Yanxiang saw this topic, he felt his blood pressure rise a little.

Yuan Zhengxin and Tian Yanzhen might as well do as they did before, just bombarding people with nonsense and letting outsiders watch the fun.

If the master and disciple don't torture each other anymore, they will start to torment other people, right?

Yes, Lu Yanxiang didn't blame Qiao Yu from the bottom of his heart. After all, what bad intentions could a child have? He was probably just simply interested in this topic.

This is also obvious. Even if Qiao Yu is ignorant, how could Yuan Zhengxin and Tian Yan not understand these things? It is obvious that they deliberately submitted such a grand proposition.

Wasn't it just because Qiao Yu's application for the project was not approved last time? Was he really holding such a grudge?

After reading the entire project book, Lu Yanxiang felt a little annoyed. In fact, you don't need to read this kind of project book carefully, and whether it can pass or not can be determined purely by your own judgment.

If you are optimistic about Qiao Yu and think he can solve the world's difficult problems within three to five years, you can just pass it despite the pressure.

Or just deny it, and no one will say anything. Even if Qiao Yu really solved it, then everyone... well, at most, just joke around like they would talk about Zhang Yuanling in private.

The latter seems more acceptable.

Of course, if he applied for a fund project twice in a row, was rejected twice, and then succeeded both times...

Thinking of this, Lu Yanxiang roughly understood why Yuan Zhengxin asked Qiao Yu to submit such an outrageous project proposal.

It doesn't matter if he passes or not, no one cares at all. If Qiao Yu really succeeds in this project, then in the future, all projects that Qiao Yu handles will probably be passed with a blind eye...

Who has the nerve to question it?

But Mr. Yuan had too much confidence in Qiao Yu, didn't he? Did he really believe that Qiao Yu could solve this problem within a few years? Or was he just taking a gamble?
He couldn't figure it out, but it didn't matter. Lu Yanxiang picked up the phone, found Yuan Zhengxin's number and dialed it.

When you reach their level, you might as well just ask directly.

He didn't have to wait long before the other end answered the phone.

"Hello."

"Hello, Mr. Yuan, it's me, Lu Yanxiang."

"Oh, it's Chairman Lu. Hello, what can I do for you?"

Originally, Lu Yanxiang wanted to exchange a few words of greeting, but since Yuan Zhengxin asked him directly, he did not hesitate.

"Mr. Yuan, Qiao Yu submitted a project on the Riemann hypothesis, and it just happened to be given to me for review. I heard that this project was recommended by you, so I wanted to ask for your opinion."

"Oh, Qiao Yu's Riemann hypothesis. It was indeed me who recommended it. The child was naive and decided on this project. I also advised him that instead of challenging the Riemann hypothesis directly, it would be better to try to work out the twin prime conjecture first.

After all, he had already proved that there are infinitely many pairs of prime numbers with a gap less than 6. If he tried harder to make K equal to 2, we all believed that he could do it. But the child refused! He felt that there was no point in continuing to work on this proposition.

Academician Lu, you don't know, this kid won't listen no matter how I persuade him, I have no choice but to give in to his wishes. But Academician Lu, just review it as you should, it doesn't matter if you reject it, it's good to let Qiao Yu know that applying for a project is a serious matter. "

Lu Yanxiang smiled and said, "I understand if you say that. Okay, I'll deal with it according to the situation later."

After that, the two exchanged a few more pleasantries and then hung up the phone.

Lu Yanxiang also confirmed that it would be better for him not to deny the matter silently, but to bring it to the meeting for everyone to review.

After all, the old man opposite who always has a hot temper has started to say nice things, so it must be nothing good.

I have already analyzed it so thoroughly for him, but Qiao Yu didn't even apply for the twin prime conjecture, but insisted on applying for the Riemann hypothesis. Let's just assume that he is just being willful.

However, Lu Yanxiang didn't quite believe that Mr. Yuan and Tian Yanzhen were also willful.

If it is true that Qiao Yu found a way to prove the Riemann hypothesis, that would of course be great.

However, Lu Yanxiang still expressed doubts about this. He has studied Qiao Yu's generalized modal axiom system, and even to prove the twin conjecture, he still needs to expand the framework.

At least based on the current situation, he is not sure whether Qiao Yu can really handle this topic.

But just in case, let's make the decision together.

If the National Natural Science Foundation of China is too embarrassed to put up a banner to celebrate, it can’t be all his fault…

After all, this is the Riemann hypothesis, not the new mathematical system that no one knew whether it could be accomplished.

……

In fact, there is no impenetrable wall in this world.

Not to mention the national natural science project.

With so many staff involved, many people have known about the project since it was submitted online.

In addition, both Qiao Yu and Riemann hypothesis are quite eye-catching.

While Lu Yanxiang was still hesitating whether to give it, nearly half of the Chinese mathematics circle had already known that Qiao Yu intended to tackle the Riemann hypothesis.

To use Qiao Yu's words, we already know almost everything we should know and shouldn't know.

Of course, Qiao Yu can completely ignore the opinions of most of them. After all, what projects he does have nothing to do with those people.

There are also a small number of people to whom Qiao Yu still has to respond.

For example, Senior Brother Chen.

"Fuck, Junior Brother, the rumor is spreading among the insiders that you have decided to switch to the Riemann hypothesis? And you have also applied for the National Natural Science Foundation? Is that true?"

"No, how come you know all this news?"

"Several groups are discussing this, I think it's hard for me not to know about it! So this is true? Are you sure?"

"Who dares to say they are sure about the Riemann hypothesis? But when you want to do something, you don't just do it when you are sure! Let me tell you a story. Do you know the forum called Decimal House?"

"No, the story you're telling is not the one about you solving Professor Xue's equation in the Decimal Room, right? I saw one of your earlier interviews, and you talked about it in the interview."

"You've heard of it? Then you should understand what I mean. I had no idea I could solve the equation at the time, but I did!
Got it? To do anything, you must first have the confidence that you can accomplish it, and then you can get twice the result with half the effort. If you feel unsure before you even start, then it’s a waste! "

After Qiao Yu replied to the message, he looked at the paper that was almost completed and felt that the shot of chicken blood he gave to Senior Brother Chen would definitely have a good effect.

After all, after the most important step is completed, someone always has to do the tedious verification work afterwards.

The laboratory work has been completed, so this part of the work can be taken over now.

(End of this chapter)