Blue Star Sea Diamond

Zhang Luo really started to think about this issue, and began to piece together these things, not sure whether he really understood it, but he understood a lot more than before.

The distribution law of prime numbers is related to the distribution of non-trivial solutions of real numbers on the Zeta function. Why are they all distributed on the negative one-half axis? Why is this distribution and the distribution of prime numbers in natural numbers still have some This kind of relationship, although this requires a complicated integral relationship.

Zhang Luo frowned and said to himself: "If you know that every solution like that must be only on that axis?"

Then Zhang Luo opened the book and saw that many mathematicians had not found a solution that deviated from that axis for many years.

Zhang Luo closed the book again. He was thinking that since the Zeta function is arranged in accordance with the arrangement of natural numbers, and prime numbers should be included in the natural numbers, to a certain extent, the Zeta function will contain this kind of band. Some characteristics of the distribution of prime numbers, this is one of the charms of the Zeta function associated with prime numbers, and the distribution of other numbers, a natural number distribution, a prime number distribution, arithmetic sequence, geometric sequence, random distribution sequence, random The binary distribution sequence seems to be getting rid of the distribution of natural numbers and the prime numbers contained in it.

Lu Yao saw Zhang Luo frowning and thinking, thinking that he should look for the ability to solve Riemann's conjecture, and was writing the formula on the paper.

At this time two of Lu Yao’s friends came. Lu Yao pointed to the two friends and said to Zhang Luo: "He is Wu Jun, a mathematics major. If you can help, you can ask him. This is Zhang Zai, who is a biology. Professional. He has something to ask you too."

Zhang Luo ignored these two people, Lu Yao felt a little embarrassed, but Wu Jun quickly saw what Zhang Luo was calculating, and smiled and said directly to Zhang Luo: "It must be impossible to think hard. You need to master certain methods."

Wu Jun sat in his seat and looked at Zhang Luo and said: "Before Atiyah died, he said that he had broken the conjecture, but he was rejected ruthlessly by everyone, and there was no sense of excitement in the mathematics world, and it seemed that what everyone wanted did not appear. "

Zhang Luo suddenly became interested and said to Wu Jun: "Because his proof process is too weird?"

Wu Jun said: "It's not just that we didn't understand the weak analysis, but many mathematicians actually wanted to use a special method to crack and prove it, and Atiyah did not use that special method to do it. , So everyone is disappointed."

Zhang Luo said, "What is the special method you mentioned?"

Wu Jun said: "Have you read Wiles's paper on Fermat's last theorem?"

Zhang Luo said: "No, but I have read relevant biographies and stories."

Wu Jun said: "There is an amazing Gushan Zhicun conjecture, which is a one-to-one correspondence between an elliptic curve and a module. Do you know this? An elliptic curve is the length of an ellipse, and there are three different expressions for this length, each with its advantages and disadvantages. It’s not completely accurate and can only be used by approximations. However, mathematics has discovered the effects of addition, subtraction, multiplication, and division. What’s even more powerful is that this equation has a double-periodic nature in the complex number domain. This double-periodic pattern is used in many continuous sheets. And the murals are everywhere, and Japanese mathematicians boldly guess that this double period corresponds to various elliptic curves one-to-one. This is because the elliptic curve is a ring shape in the complex number domain, and the double The unit pattern on the periodic pattern can be rolled into a ring, so it is equivalent, but it is very troublesome to find the corresponding sequence one-to-one correspondence."

Zhang Luo said: "I know that the bedsheets and murals you mentioned are very vivid metaphors, but the key is to have at least two poles, so that they can be related to the two cavities of the ring. But does this have anything to do with Riemann’s conjecture? ?"

Wu Jun said: "It seems that your level is really high. If the domain of an equation is expanded into a complex number, the equation will have an important topological property, that is, the equation has several holes in a complex space, and there is no There is a big difference if there is a hole, and there is a big difference between a hole and a lot of holes. It is precisely because some equations have holes in the complex space that what mathematicians say, the more holes there are, The fewer rational points. Roll the three-dimensional grid into a ring, the grid must be distorted severely, and the intersections on the grid are greatly reduced. The intersections on the grid are integers or rational numbers. The blanks in the grid are all irrational numbers. There are far more irrational numbers than rational numbers. This is Cantor's idea."

Zhang Luo said: "You are talking about elliptic curves, but Riemann's conjecture is a series."

Wu Jun said: "The series can be analytically extended into a function, which can be used as the starting point of the complex variable function."

Zhang Luo said: "If the complex variable function is done well, the number or distribution of the holes of the Zeta function can be used to solve the problem that the non-trivial solution in the Riemann conjecture is on a straight line. This is the same as cracking Fermat. Is there any rational point in the equation of the question? It’s not the same. At least the question is different."

Wu Jun said: "Maybe it's different, but I still hope to explore this interesting field, maybe there will be discoveries."

Everything in Zhang Luo's heart becomes a projection. After a twisted projection change, a thing will become an extremely simple calculation formula. To say that these are the same things, it is really difficult for Zhang Luo to understand.

The Zeta function is rolling in Zhang Luo's mind. It is not just a certain section, but a whole. He was amazed at this extremely beautiful structure, an extremely complex and exquisite thing of harmonic series in the complex complex world. The inside changes under different angles, of course, this change is the kind that does not damage the structure.

Zhang Luo said: "The modulus theory is so strange that only the remainder is taken in the calculation, but this remainder can become a strange symmetrical kaleidoscope in the function? The modulus is calculation, how can it become such a beautiful and amazing pattern? It’s unimaginable in high-dimensional space, even can only be seen by projection?"

Wu Jun said: "Modules can be regarded as a period. Or there is naturally a double-period structure in the typing, but there are no units. Many different units can be used. Those units will be combined into a complex number field in a complicated way. We need to find various methods to synthesize the cyclic structure of the world, and we can synthesize this kind of cyclic structure after finding a certain rule."

Zhang Luo said: "Think about the cross-section of the ring?"

Wu Jun said: "Yes, it's an extremely complex section."

Zhang Luo said: "I can think of many changes in the Zeta function, but I can't pick the prime number. Prime numbers seem to represent an eternal position, like a fierce horse that is difficult to tame. No matter what power mathematicians have, they can't control it. This crazy horse."

Wu Jun smiled and said: "No matter how we study mathematics, as long as it is related to numbers, it cannot be separated from natural numbers, and of course it cannot be separated from prime numbers. With the results, it may be a lot of help."

Lu Yao said: "The purpose of figuring out this conjecture is to crack the existing cryptographic system, right? That way, we can quickly crack the many cryptographic systems in the world."

Wu Jun nodded.

Lu Yao said: "Not bad, very meaningful."

Zhang Luo can see complex variable functions in high-dimensional space in his mind. He has a new understanding of the arrangement of Riemann’s conjecture. He can transform function coordinates and understand various shape series. He can see the shape of the series in his mind. In the cryptography that is used, he can decipher all passwords, not only can crack, but also can build a universe-level blockchain system, so that all the applications between people and things are communicated with the principles of cryptography And collaboration, there can be rare human intervention.

Zhang Luo tried to understand the change of the singular function. When the coordinate changed, the figure was still in the brain.

After Zhang Luo returned to Northern University, he did not stop his work. He saw that he read various obscure mathematics papers and began to use a lot of paper to derive various formulas.

Zhang Luo assumed a series, this series also has a non-trivial zero point, the real numbers are also on a line, and the distribution of these points are equally spaced, which is different from the point distribution of the Zeta function.And Zhang Luo hasn’t discovered how to write this series. Zhang Luo just assumed that it is a series to guess whether the arrangement is not a natural number, whether there is a connection with natural numbers, and whether this arrangement has a connection with prime numbers. This is useful for cracking Riemann’s conjecture.

Hailanzi said to Li Hao: "I want to bring you someone, I wonder if you know him or not."

Zhang Luo was brought over. Since Illich got better, the Far North Kingdom did not want to offend the people from Northern City and Thunder Company. It treated Zhang Luo very preferentially, and gave Zhang Luo a good condition to study mathematics, and gave him countless pens and papers. Start to crack Riemann's conjecture.

Li Hao said to Hai Lanzi: "His name is Zhang Luo. He was poisoned by the Skeleton Party. He was locked up for 12 days without sleeping, causing a mental disorder. He might have inspired his mathematical thinking and became like this. He assassinated Ilyich. He was brainwashed because he was controlled by Feng Zhiyuan from the Skeleton Party before."

Hailanzi said, "Yes, that's right. But I have to bring you someone."

Li Hao and Liu Wanneng felt very strange, Hai Lanzi stood here respectfully, and Illich quickly sat up.

Liu Wanneng obviously felt that there should be a big man, but he couldn't guess who it was.

A voice came from outside: "You are more focused than Euler, you are more spiritual than Galois."

I saw a white person about two meters tall came in, walked directly in front of Zhang Luo, and said to Zhang Luo: "Don't mess around, you have already proved it."

Hai Lanzi and Illich respectfully said to the white humans: "Pharaoh Bai is good."

Zhang Luo said, "I seem to feel it too."

Pharaoh Bai did not speak to Hai Lanzi and Illich, but only said to Zhang Luo, "Are you going to break through the quaternion field?"

Zhang Luo nodded slowly, and then thought about how the independent variable of the Zeta function became a quaternion, and at the same time there was a high-dimensional space in his mind. The complex number domain is a four-dimensional space, so his current quaternion The domain is already an eight-dimensional space, and that manifold can appear in his mind skillfully, without the need to think about projections.

Pharaoh Bai said to Zhang Luo: "Is there a feeling?"

Zhang Luo said: "I am looking for a special arrangement that does not conform to natural numbers."

Pharaoh White said: "That is not a special arrangement, natural numbers are special."

Zhang Luo said: “You need to use a basic group arrangement. First classify the basic groups and then arrange them. Then the prime number distribution inside will definitely be different, and there will be a flow that is essentially different from the Zeta function. shape."

White Pharaoh said: "I have already thought about it. I have trained these, but you actually grow up faster than me. It seems that 12 days of sleeplessness has indeed caused a kind of alienation in your brain, but it is a kind of Useful alienation."

Liu Wanneng saw Pharaoh Bai, and Pharaoh Bai looked back at Liu Wanneng. The two of them looked at each other and did not speak, but Liu Wanneng clearly felt that Pharaoh Bai was telling him about the new engine. Liu Wanneng seemed to be inspired by something, and thanked him. White Pharaoh.

Pharaoh Bai left here quietly like this, except for talking to Zhang Luo the whole time, he didn't say a word to others.