When Su Mucheng ordered a good dish, waiting for the chef in the cafeteria to fry and pack it, when he returned to the office, he saw that Li Jiangao had already come, and Dean Xu was probably far away and had not yet come.

At this time, Li Jiangao was sitting next to Qiao Ze, listening to Qiao Ze's explanation.

“…… The general idea is to first prove the validity of s(n) and p(x) to ensure that the two tools can accurately describe and generate prime numbers, and then prove that for any given even number e, the two prime numbers p(x) and p(y) can be found using g (e) so that their sum is equal to e, and the whole proof process is completed. ”

When Su Mucheng heard Qiao Ze's words, he suddenly thought of a joke on the Internet, how many steps does it take to put an elephant in the refrigerator?

Some wanted to laugh, but they held back.

Because when she pushed the door open, both looked up at her.

"Xiao Su is back."

"Well, Uncle Li, have you eaten? Would you like to have something together? ”

"Oh, I ate in the cafeteria. Uh, Joze, go eat first. I'll look at the paper for myself first, and I'll ask you if I don't understand something. ”

"Okay." Qiao Ze answered, stood up and followed Su Mucheng into the conference room where the group meeting was held.

Su Mucheng had just divided the dishes and rice when he heard another knock on the door outside, and then Xu Dajiang's voice came in.

"Hey, Jiangao, you're here too? What about Professor Joe? ”

"José eats inside."

"Oh, those don't bother him, you're reading papers, right? How, is it proven? ”

"Hmm...... Let's take a look too, and I'll tell you about Qiao Ze's idea first......"

After listening to these conversations, Su Mucheng smiled sweetly at Qiao Ze and said, "Brother Qiao, eat first." Later, Dean Xu will definitely turn into a curious baby, and he will be able to deal with him when he is full. ”

Qiao Ze nodded and began to eat as usual.

Outside, there were arguments from time to time, and they sounded a little childish.

“…… Why is imaginary numbers being introduced here? ”

"This is a complex plane, through the imaginary unit, so that the angle between the points is θ(n), and the angle changes with n to determine the position. log (n) to ensure that the point spreads outward as n increases, which is consistent with the distribution of prime numbers. ”

"That's what you understand?"

"What José just said."

"No, I'm asking for your understanding."

"Me? I haven't studied Joe's algebra or supercoiled structures. ”

"Then according to this solution, doesn't it mean that this s function can be matched with this polynomial to find the distribution law of prime numbers?"

"Yes, that's what José meant. The s-function is used to make sure that the prime numbers are always on this path, and then the positions of all points are determined by combining the polynomial p(x), and the imaginary part is used to make cuts and separate the natural numbers of other non-prime numbers. ”

"If you want to say that the distribution law of prime numbers has been found, doesn't that mean that it can also be used for the study of ζ functions? Does this mean that this set of tools can also be used to prove the Riemann hypothesis? ”

After all, Gochai is mainly concerned with the addition relationship of prime numbers, and the Riemann conjecture discusses the question of whether the real parts of the non-trivial zero points of ζ functions are all 1/2...... But if you want to say that, it definitely helps. Mathematics is interconnected. ”

"So I said, José also has a chance to prove Riemann's conjecture. Even Hilbert's twenty-three questions...... Do you think it's all packed? ”

"You'll have to ask Qiao Ze about this, but don't go far."

"Okay, so do you think you can use these proofs to construct a mathematical model that describes prime numbers?"

"You'd better ask José......"

"I think it should be possible, just need to convert it into a number line and find the distribution pattern...... Doudou's ability should be enough, right? ”

"Oh, Uncle Xu, you think too highly of Doudou, Doudou knows a fart of mathematics, studying mathematics is my father's business, my father writes the algorithm first, and I can build a model on the basis of the algorithm, which is called joining forces and dividing labor and cooperation."

……

Su Mucheng's eyes widened, looking at Qiao Ze who was eating silently opposite, and finally waited until Qiao Ze swallowed the last bite of food, and then couldn't wait to ask, "Brother Qiao, did you hear what Dean Xu said just now?" ”

"Hmm." Qiao Ze nodded.

"Can you prove the Riemann conjecture too?" Su Mucheng immediately asked.

She endured it for a long time.

When I heard Xu Dajiang talk about this question just now, I couldn't help but want to get an answer.

Qiao Ze didn't answer directly, but sat there deep in thought, then picked up the used chopsticks and casually wrote down two formulas on the table.

f (n)=αn+βlo g ( n )

\[ z(s)= h(s)\cdot \ζ(s)\]

Then he shook his head, picked up a tissue and wiped off the formula he had just written.

"It is possible, for example, if it can be shown that the supercoil mode has a direct correspondence with the transcendental geometry of the zero point of the Riemann ζ function, that is, the supercoil mode of the prime number may be mapped directly to the non-trivial zero point of the Riemann function ζ(s).

But this is only based on the assumption that there is a deep mathematical connection between the supercoiled mode of the prime number distribution and the geometry of the zero point of the Riemann ζ function. If it can be proved, it means that there is a deeper unity between number theory and complex analysis.

But this is only a hypothesis, and if you really want to prove it, you will need to take time to think about it. And first to make sure that my proof of Goldbach's conjecture is correct. I don't see anything logically wrong for the time being, but it will take time to test. After all, I'm not very good at number theory. ”

Qiao Ze said very pertinently.

Su Mucheng pursed her lips, Qiao Ze was so modest that she was a little uncomfortable.

If the person who can give the idea of the Gochai proof for half a day is not good at number theory, probably no one will dare to say that he is an expert in number theory in the future.

As for the question of whether it was right or not, Su Mucheng didn't think about it at all.

The reason is that no matter how difficult Qiao Ze's problem was, he didn't miss it before.

However, without waiting for Su Mucheng to open his mouth to comment, the painting style discussed outside began to change.

……

"Hey, it's a bit of a waste to solve the problem at this time! There are still two years to go before the Congress of Mathematicians is held. Solving the Young-Mills equation and mass gap problem is enough to win the Fields Medal once, and Gochai is enough to win it once. Two medals can only be combined into one. What a loss! ”

Obviously, this is what Xu Dajiang said.

This dean really didn't want Qiao Ze to suffer a little loss.

"You can only get the Fields Medal once, right? No one has taken it twice, right? ”

"That's because there is an age limit, and the Fields Medal rules don't say that you can only be judged once. And didn't Caucher Birkar just get two medals? ”

"Didn't Caucher Birkar because his first medal was stolen? That's why I gave him the medal for the exhibition again. ”

"It doesn't matter, the important thing is that someone did get two medals. And with Qiao Ze's contribution to the mathematical community, even if he gets three times, he also has that qualification. ”

"This ...... That's right. Li Jiangao, who didn't have so many thoughts, didn't want to sweep Xu Dajiang's high interest at this time, so he casually echoed.

"Haha, that's right, Jiangao, don't you know about your students? In the future, we will be a god, so let's make a bet, when it comes to our Xilin School in the next century, anyone who is engaged in mathematics will have to bow and worship! Well, Xilin may be the birthplace of new mathematics in the eyes of future generations! ”

"Uh...... Let's not bet on the next century, right? ”

"Haha......"

As Xu Dajiang's hearty laughter fell, it was finally quiet outside, and Su Mucheng looked at Qiao Ze with a gaze like there were many stars hidden in his eyes, which made Qiao Ze feel a little uncomfortable.

There were too many praises, and he didn't feel very comfortable.

Dean Xu is always like this, and likes to hold him high.

But it's just that the vast majority of people don't understand this new set of mathematical tools yet.

If you really understand it, you will find that this set of tools is used to solve the prime number problem, which is really not too difficult.

"Whew......" Qiao Ze took a deep breath, saw what he had almost eaten, and said, "I'm done eating, go out first." ”

"Well, you go first. Dean Xu and Uncle Li must still have a lot of questions to discuss with you, so I'll clean up the table first. Su Mucheng said with a smile.

"Oh."

……

Walking out of the cubicle, sure enough, Xu Dajiang raised his head and paid attention to him as soon as possible, which showed that the dean hadn't read his paper carefully at all.

"Qiao Ze, how did you come up with the idea of using this method to prove your brother's guess?" The next moment, Xu Dajiang asked with great interest.

"Today, Xiao Su suggested that I was tired of doing the project, and I could do some other topics to change my mind, and suggested that I try to solve this conjecture. Then I thought about the spiral arms of the Milky Way, the shape of the hurricane, and the structure of the DNA, and mapped out a path from the prime numbers that I had found.

I think that if you bring this problem to supercoil algebra, you should be able to find a way to determine the distribution of prime numbers. First of all, you don't need to determine which numbers are prime in the number line, just finding the possible trajectory of the prime number will simplify the problem a lot.

Then, along this line of thought, define the path, distinguish the prime number from the composite number, so that the special position of 1 is separated, and the distance between the points can be determined by finding how many composite numbers are in the middle, and it happens that this can be defined by the concept in supercoiled algebra.

So I thought of proving a theorem first, which is the prime spiral theorem in supercoiled algebra. In supercoiled algebra, for any even number e greater than 2, there exists a function s(n) that maps the natural number n onto a spiral path in a complex plane such that each even number e is associated with at least two points s (p) and s (q).

If this theorem can be proved, Gochai will be half solved. If you've read my previous paper, you'll see that when summarizing supercoiled algebra, there is an important theorem proof, the supercoil periodic mapping theorem.

That is, in supercoiled algebra, for the set of natural numbers, there is a basic mapping function p (n), which maps the natural number n to a transcendental geometric space in which the points exhibit a periodic pattern related to the qualitative nature of n.

This theorem was originally intended to solve the graviton problem, but when solving the Goldbach conjecture, it can be extended to the helical qualitative mapping theorem, that is, in supercoiled algebra, there is a function f(n) that maps the natural number n to a transcendent circle such that the output value of f(p) for any prime number p,f(p) follows a specific sequence.

The sequence can be accurately predicted by some mathematical pattern. For non-prime numbers n, the output of f(n) does not follow this pattern. This mapping reveals the fundamental differences between prime and non-prime numbers in the distribution of supercoiled paths.

With these antecedent theorems, the most difficult part is solved. All you need to do is find a polynomial and test it with a conversion formula. The only difficulty is in understanding the use of the weighting factor w (n), which is the only place where I think there may be papers that are difficult to understand. ”

Qiao Ze rarely explained the whole process of thinking.

But in fact, he didn't say it to Xu Dajiang, but to Li Jiangao, who had been sitting there and looking at the paper.

In Qiao Ze's impression, Xu Dajiang didn't know much mathematics, which he could see from Liu Chenfeng's level.

As for his mentor, Uncle Li, of course, he understands mathematics. After all, it is the study of group theory, and group theory is a tool for studying number theory. And when he solved this problem, he used some things about group theory.

The fact is also the same, for Xu Dajiang, the sentence just now was a subconscious question, and he didn't really care so much about what kind of thinking Qiao Ze had.

The focus of attention was also obviously off, and after listening to Qiao Ze's words, the question blurted out was: "Oh, did Xiao Su suggest you to study the next brother?" ”

Qiao Ze glanced at Xu Dajiang, and then nodded silently.

"You see, it's a mess, but it's fine. Now there are a lot of people who study Joe's algebra, and when they understand these theorems thoroughly, maybe they can also consider applying them to number theory, which has to give Xiao Su a credit! Xu Dajiang commented with a spring breeze on his face.

Naturally, it was impossible for him to say that Su Mucheng was bad.

Even if he has been recognized by Qiao Ze to a certain extent and is regarded as one of his own people, it is still difficult to deal with Qiao Ze. It can't be said that Qiao Ze has not grown at all, but his personality is difficult to change after all.

At least not as quiet as it used to be.

I also explained the problem more carefully, and if it was changed before, it would probably be like this first, and then like that, and then the problem would be solved.

Others don't dare to ask, and it's stupid to ask.

Xu Dajiang didn't expect that just because of his deviated thinking, Qiao Ze wrote it down again, and the dean's thinking soon began to deviate again: "Hey, this paper still has to be sent to "New Discoveries in Mathematics and Physics", who is the reviewer here?" It's a pity that Chen Lao and Wang Lao have both passed away, and it's almost funny to find someone else to be a reviewer. Hey......"

Xu Dajiang sighed deeply, obviously really worried, but his eyes kept drifting on Qiao Ze.

What do you say......

Even if he feels that it is important to highlight the role of Chinese, if there is no English version of this paper, it is really almost interesting to be recognized by the international academic community.

Although Josser's proof process used the mathematical tools of supercoil algebra, the proof of this number theory puzzle is not quite the same as a new discipline. This is really the improvement of human cognition of prime numbers.

When it comes to proving the significance of Gechai, Xu Dajiang can talk about it all day, such as the deepening of logarithmic theory, which may even affect the field of computer security, and with the deepening of the understanding of prime numbers, it may affect the current field of digital signature and encryption.

But that doesn't have much to do with the paper itself.

Because the most important thing is that the mathematical tools developed to solve this problem can be enlightened and used to study more in-depth mathematics, which happens to be the field of supercoil algebra.

Therefore, in Xu Dajiang's view, this paper can be directly published in Chinese and English bilingual versions, and directly published in the international edition of "New Discoveries in Mathematics and Science".

Although Xu Dajiang's words were very vague, Qiao Ze obviously understood what he meant at the first time.

How so? It's like acting is always too hard, what is in the mind of this dean, even if he turns a corner, it is easy for people to analyze it according to his personality. To put it bluntly, it's a lot older, and there is no city yet.

The advantage is that Xu Dajiang's purpose has always been very clear, and he never hides it, which is very cute.

If you want to classify the flowers, they probably belong to the kind of people who are most affectionate and sexual.

There must be a careful eye, but at least there are not too many bad intentions that always think about pitfalls. Barely a good person.

So Qiao Ze thought about it for a while and said: "At that time, I just wanted to solve the problem, so this article is not in accordance with the official paper format, and it does not meet the standard of publishing a paper. ”

Listening to Qiao Ze's words, Xu Dajiang blinked, then glanced at Li Jiangao, who was looking at the computer screen there, and instantly understood what Qiao Ze meant, and immediately a smug smile bloomed on his face, and he clapped his hands and said, "This is a good idea, but why do you want to find someone else?" Jiangao, you have to help the students take on this. ”

"Huh? What's up? Hearing Xu Dajiang talk about himself, Li Jiangao raised his head blankly and looked at the dean, just now he was looking at the process of proving a theorem, thinking about the wonders, and really didn't pay attention to what Qiao Ze and Xu Dajiang were talking about.

Xu Dajiang's eyebrows fluttered and explained: "Hey, it's nothing, it's just that Qiao Ze said just now that his article was not written in the format of a serious paper." ”

Li Jiangao nodded, and said blankly: "Indeed, this is a manuscript, what's wrong?" ”

"Professor Qiao hasn't been busy lately, so he needs someone to help him polish his paper and translate an English version by the way. I wondered, do I need to trouble others? Wouldn't it be better for you, as a guru, to take this on your shoulders? Xu Dajiang said with a pleasant face.

Li Jiangao looked at Qiao Ze in surprise and said, "Are you so busy?" This matter can be left to Doudou? And then you're just changing it casually, right? ”

Xu Dajiang is almost annoyed!

Why is it so hard to deal with honest people?

"I said Jiangao, what do you think about all day long? Can you change Doudou? Look at it, Doudou doesn't talk back, can't you have points in your heart? ”