I really just want to be a scholar

Chapter 392
Polignac guessed that it would not be unfamiliar to many people, but it would not be familiar either.

For all natural numbers k, there are infinitely many pairs of prime numbers (p, p+2k), which is the mathematical description of Polignac's conjecture.

And when k=1, the Polignac conjecture becomes the twin prime conjecture.

Therefore, many people who do not have a deep understanding of number theory, including Vice President Gu Bojun, will think that since Qin Ke has proved the most difficult form of k=1, it should not be difficult to extend k to the large set of all natural numbers. Will it be too difficult?

It's actually really hard!

Qin Ke's original "finite number system" using the construction method is to simplify the twin prime number problem into a complex one, transform it into an algebraic geometry problem and then simplify it, and directly list the prime number polynomials on the graph and solve them.

For k equal to 1, there is only one geometry.

But when k expands to all natural numbers, it means that there are countless geometric figures, and it is impossible to list prime number polynomials to solve.

Therefore, Qin Ke's original finite number system failed to prove Polignac's conjecture. He had to use another method to overcome this prime number conjecture, which was at least three times more difficult.

With Qin Ke's current "professional level" mathematics level, it is almost impossible to do this. Even if he enters the "inspiration boost" state, the probability of successful proof is relatively low.

But Qin Ke still has the confidence, and his confidence is to hold the "Comprehensive Analysis of the Riemann Conjecture", a big weapon against the sky.

The Riemann Hypothesis is of great significance to number theory. Many number theory problems such as function theory, analytic number theory, and algebraic number theory rely on the Riemann Hypothesis.

In particular, "Comprehensive Analysis of the Riemann Hypothesis" provides a very in-depth explanation of analytic number theory, geometric number theory, and algebraic number theory, which greatly promotes Qin Ke's understanding of these processing methods of analytical number theory.

For example, the five sets of expressions in this S-level knowledge have constructed five unprecedented "new types of systems", which can also be called "new types of number theory processing methods"—just like Qin Ke's original "finite number system". The above is the "Analytic Number Theory Processing Method for Finite Numbers", which builds a bridge between prime numbers and algebraic geometry with a special analytic number theory processing method.

Although Qin Ke can only understand the first three sets of expressions and their methods, it is enough to make his mathematical thinking leap forward in constructing the "number theory processing method" with the construction method, surpassing the current "professional level" , which is comparable to "master level".

However, whether these three constructed new processing methods can be applied to the Polignac conjecture requires a lot of demonstration and exploration, and it is basically impossible to directly quote it. The biggest possibility is that it will take effect after transformation.

If Qin Ke was alone, it would probably take about two months to complete the verification, but now that Ning Qingyun, who has advanced by leaps and bounds in number theory, is there, Qin Ke will be much more relaxed.

With the help of the system's "thinking resonance", Qin Ke spent two nights completely teaching Ning Qingyun the first "matching approximation method of geometric number theory".

This is a number theory processing method based on algebraic geometry. It is somewhat related to Qin Ke's "finite number system", but it uses additional algebraic number theory thinking such as Diophantine approximation and rational number to irrational number approximation matching, which is very creative.

The "Matching Approximation Method of Geometric Number Theory" is basically similar to the construction method that Qin Ke figured out in his paper "Exploration on the Direction of Cracking the Riemann Hypothesis with Core Expressions", but it is more optimized, concise and direct, and can be said to be an optimized version.

After Ning Qingyun studied "Zhi Ning Qingyun II", she happened to be good at algebraic geometry and number theory. This "matching approximation method of geometric number theory" was most suitable for her to study.

Qin Ke himself delved into the second and third new methods of treatment.

The second group of expressions uses the "function transformation hypergeometric system", which is constructed based on the Padé approximation method, Mellin transformation, Gap criterion and other hypergeometric methods.

The third processing method is the most difficult and complicated "group theory function equation method" among the first three, which is constructed based on several advanced mathematical methods such as large sieve method, circle method, group theory, and constructor equation. A new approach to processing.

In the past month, Qin Ke has spent one-third of his daily self-study time studying these two processing methods and trying to use them to prove the Polignac conjecture.

However, the Polignac conjecture ranks among the top [-] most difficult projects in the history of human mathematics. I don’t know how many famous mathematicians have been defeated by it. Qin Ke has been studying for more than a month. Although it is not fruitless, it is still far from finding a breakthrough Cutting it under the sword is still far away.

At the same time, Ning Qingyun, who devoted himself to studying the "matching approximation method of geometric number theory", also made little progress.

Knowing that the most important thing in mathematics research is to be able to endure loneliness, keep one's heart, and not be arrogant or irritable, so the two of them are not too anxious. I don't know how many amazing and brilliant mathematics masters have studied Polignac's conjecture. There have been no breakthrough results for several years. If the two of us can prove it after studying for a month or two, then it will be hell.

In a blink of an eye, it came to December 12, Qin Ke's nineteenth birthday.

Qin Ke felt that he must have a lot of fate with snow and ice, because on his birthday, it would snow, even if it was just a little snow for half an hour... Anyway, since he can remember, he has never missed it.

Today is no exception. Early in the morning, goose-feather-like snowflakes are falling one after another, accompanied by howling cold wind, which makes people feel the chill in their bones.

In an instant, the whole world was covered in whiteness, and it was difficult to distinguish people ten steps away.

Because of the heavy snowstorm, the school's radio station even broadcast a notice that the whole school's classes were suspended this morning. Students are asked to stay indoors and not to go out easily.

Although Qin Ke wanted to spend time with his little cabbage on his birthday, the weather obviously didn't allow it. After replying to WeChat messages or text messages from all over the world, relatives and friends wishing him a happy birthday, he was about to make a phone call. Calling Ning Qingyun, the animals in the dormitory heard that today is his birthday, and the boys in the surrounding dormitories also came to congratulate him with snacks and beer.

So 501 became completely lively.

Facing the enthusiastic students, Qin Ke stopped being hypocritical. After sending a message to Ning Qingyun to explain, he played cards and drank beer with a group of boys.

Recently, the school had a poker game against landlords—don’t complain about how the school had such a game, it was organized by the chess and card interest club—it greatly promoted this event, and Qin Ke even took Ning Qingyun to participate in it for a few days It's just that they are relatively busy. After winning five games in a row, they "retire from the arena" and focus on returning to Polignac's conjecture.

However, with Qin Ke's popularity and dazzling record, this activity became popular in the 501 dormitory at once.

Especially after Qin Ke explained the skills that require high IQ and strong psychology, such as listening to cards, guessing cards, memorizing cards, bidding, etc., 501, together with 502 and 503 next to it, didn't even play games, and gathered together all day to fight the landlord. It's dark.Even a nerd like Li Xiangxue, who is addicted to making difficult problems, is keen on it. Jiang Zhenjie is even known as the "King of Landlords", and he is not afraid of challenges from anyone except Qin Ke.

The trend of fighting landlords is becoming more and more intense. Now, among the boys in the physics department who can't fight landlords, they will be laughed at.

Qin Ke usually participates less because he is busy, but he wins every battle. It can be said that he is not in the arena, and there are legends about him everywhere in the arena.

It was rare for him to accept the challenge in the dormitory at this time, but all the boys who were a bit ambitious would take the opportunity of birthday congratulations to challenge Qin Ke.

You can't beat you in study, you can't beat you in basketball, but you can earn some face by playing cards, right?
Even if you can't win, playing cards and drinking together will always get acquainted with Qin Ke and deepen your friendship.

Due to various psychology, more and more boys gathered in the 501 dormitory, not only the boys on the fifth floor, but also boys from other majors from other colleges on other floors gathered here.

It was windy and snowy outside, but inside the 501 dormitory, it was full of noise and noise. Cards flew together with peanuts, melon seeds, and beer.

But no matter how many opponents changed, no matter whether he was a local landlord or a farmer, Qin Ke was undefeated, and people had to exclaim that Brother Ke was too mighty.

Just as the peasants and landlords were fighting happily, the broadcasts in the dormitory and corridor suddenly sounded at the same time, and the familiar voice of Cheng Wenjun, the announcer of the school radio station and a senior sister, spread to every room on the campus of Nuo University. corner:
"Hi everyone, I'm Cheng Wenjun, the stationmaster and announcer of the school's radio station. I just received an entrustment from a cute school girl. Because this request is so cute, I decided to take advantage of this snowy morning to make the evening's The song ordering time is advanced, I hope the leaders will not be offended."

If it was a normal notification, everyone might not care too much about it, but such an opening statement was too unexpected, especially the words "cute school girl", which made a group of animals with excessive hormones involuntarily pause their playing cards, curiously Keep your ears open for what's coming next.

"Next is a message from this lovely school girl."

"There is a boy who is very important to me. Although he always annoyed me when I was at the same table at the beginning and tried to trick me in various ways, but looking back now, he is full of happiness."

Wow, it seems to be a confession!And it's a girl confessing!
Dormitory 501 became excited instantly, and the whole school also became excited!

Although the school radio station occasionally has such romantic moments, most of them are more reserved. Saying "Send a XXX song to XX, I wish TA..." is the best, and they are mixed together. The song won't be too conspicuous - after all, although the school doesn't prohibit college students from falling in love, it doesn't encourage them either. Generally explicit confessions are screened out during the review process of the radio station, and it is impossible to appear on the radio.

This time, it was Cheng Wenjun, the head of the radio station and the first announcer, who personally adjusted the ordering time. In such a windy and snowy day when classes were temporarily suspended, how could we not let him read such a manuscript on behalf of the "cute school girl" What about the restless boys and girls booing excitedly?

Qin Ke couldn't help but smile, subconsciously thinking of Ning Qingyun.

It turns out that there are other girls who have also been attacked by the boys at the same table. It is really a hero who sees the same thing. Next time I have a chance, I will get to know this boy.

　Thanks to "Ku Xungen", "North Latitude 37", and "Pigeon" for their rewards!

　　Thank you for your monthly ticket recommendation and full booking!
　　The busy work has finally come to an end. From tomorrow onwards, I will be on vacation for a few days. Lao Mo will continue to make up all the debts every day.thanks for your support!

　　
　
(End of this chapter)