Since he was going to participate, Jiang Shuiyuan didn't plan to go with only his ears.

Taking advantage of the noon and evening breaks, he went to the library of Jingshi University to consult books related to the Riemann conjecture and do his homework. If you don't know if you don't check, you will be shocked when you check it, there are hundreds of books on the Riemann conjecture, not only in Chinese, but also in English, French, German, and Japanese.

Obviously, Jiang Shuiyuan is not the only one who has been proven to be aware of the Riemann conjecture, and most of the books in Chinese and English have been published, leaving only Japanese and German books that no one can understand, as well as several copies.

Fortunately, the last time I went to Danzhou, Jiang Shuiyuan and Hotta Yu also learned a little Japanese, and I read the "Hanhe Shuangjie Dictionary", and I could barely understand Japanese. Hans is the birthplace of the Riemann conjecture and the most important research center in the first half of the period, and it will be very beneficial to look at it in comparison. So he picked one of each, found a place by the window and started reading.

He read the book quickly, first scanned forty or fifty pages in one go, then closed his eyes and thought about it for a while, and then continued to turn down, and soon he could finish reading a book. Just as I was looking hard, I heard a familiar voice: "May I ask my classmates, can you borrow a book from your hand to show me?"

Jiang Shuiyuan turned his head sideways, and saw Wang Canlong, who he had seen last time in the audit, standing on the side, his face seemed to be darker than last time, and his demeanor was more vicissitudes, only the white-washed schoolbag was still so clean. Jiang Shuiyuan hurriedly stood up and smiled kindly at him: "Old Wang, I haven't seen you for a long time, do you remember me?"

"Oh, remember, remember, like I've seen it somewhere before. Wang Canlong whispered indistinctly, "Can I borrow your book to read?"

"Yes, of course you can!" Jiang Shuiyuan didn't know much about Riemann's conjecture, so there was no order to read the books, grab one by one, read one by one, and then slowly comb it out. So in addition to the book he was reading, he pushed the rest of the stacks of books between the two, "Pick and read!"

"Thank you!"

"You're welcome! By the way, how have you solved the four-color problem?" Jiang Shuiyuan remembered that Wang Canlong seemed to have said that he had found a very easy way to prove the four-color problem. - Huh? That sounds familiar!

"There are still individual flaws that need to be improved, and final additions are currently being made. I think Atiya's solution to the Riemann conjecture might help me prove the four-color problem, so I'll find out. ”

"Then I wish you all the best!"

Wang Canlong sat down next to the water source of the river, first took out the large worn-out plastic water cup from his school bag, poured a few sips of "goodong" and "goodong", wiped the water stains on his mouth, and then took out a notebook and pen, found a Chinese version of "Riemann Conjecture Preliminary" in the stack, and began to take notes while reading the book.

Wang Canlong reads very slowly. Jiang Shuiyuan had already finished reading three or four books, and he only saw the third chapter in one book.

Although there were several stacks of books, at the end of the day you would find that except for a few that were different or written in a more esoteric way, the rest were much the same, so the river water source turned over faster and faster, and finally finished all the books by eleven o'clock in the evening. At this time, Wang Canlong's book had not yet been read.

Jiang Shuiyuan stretched his waist beautifully and said softly: "Lao Wang, I'm done, what about you?"

"Oh, I'll have to wait until I've finished reading the book at hand before I get back. ”

Jiang Shuiyuan estimated that with his reading speed, he would have to finish reading at least one or two o'clock at night, but fortunately, the library of Jingshi University is open 24 hours a day. He thought for a while and said, "Lao Wang, then I'll invite you to have supper, will you go?"

"No, I brought something to cushion my stomach. Saying that, Wang Canlong took out a hard flowering steamed bun from his schoolbag, nibbled a few bites hard, and then picked up a large plastic water cup and poured a few sips, and rushed the dry and hard steamed bun dregs into his stomach, "I'm not hungry, you can go first! I'm used to reading at night, so it's easier to concentrate." ”

"Well, you pay more attention to your body!"

The next morning, Jiang Shuiyuan asked Sun Lianghou for leave and came to the conference room of the Department of Mathematics in advance, where the internal seminar was held.

As soon as I pushed the door, I was almost knocked off by the heat wave and sound waves inside. I saw that the conference room was densely packed with people, and even the aisles were full of people, and the crowding was no less than the popular attractions during the National Day holiday. The first row gathered dozens of reporters, long guns and short guns. Isn't that a mini-seminar?

Or is there some misconception I have about "small"?

Fortunately, Zhang Jin got up early in the morning and occupied a seat, otherwise Jiang Shuiyuan would have to stand and listen to the lecture. He was about to squeeze over to meet Zhang Jin, but was stopped by a female reporter in her early twenties on the side, and the recorder was handed over: "Hello classmate, I am Liu Wei, a reporter from the magazine "Science and Life", may I ask who you are?"

"My name is Jiang Shuiyuan, and I am a student at Huai'an Fu Middle School affiliated to Jingshi University. ”

Liu Wei stared at her round eyes: "You came from Huai'an Mansion overnight to attend the seminar?"

Jiang Shuiyuan glanced at her a few times, she looked very beautiful, and she was dressed like an intellectual woman, so why wasn't her IQ in the service area? He patiently explained: "I came to attend the Jingshi University seminar, and I happened to hear that there was a seminar, so I came to study it. ”

"Are you very interested in math?"

"Uh...... Yes. Jiang Shuiyuan looked at her again and said in his heart: If you are not interested in mathematics, will you come to this seminar? The questions asked are simply too young, too simple. Young people should constantly improve their posture level, do you know? I'm in a hurry for you, and when you go back with an interview like this, are you sure that your president won't deduct your salary?

"How much do you know about the Riemann conjecture?"

"A little bit about it. "After all, I made up a lot of things last night.

"So what exactly did Riemann guess guess?"

Jiang Shuiyuan breathed a sigh of relief for her: "The so-called Riemann conjecture is the conjecture put forward by the famous mathematician Riemann in a paper published in 1859 entitled "On the Number of Prime Numbers Smaller than a Given Number", that is, it is guessed that all the non-trivial zero points of the Riemann ζ function are located on a straight line with Re(s)=1/2 on the complex plane. ”

Liu Wei looked confused: "Can you put it more simply and in layman's terms?"

Jiang Shuiyuan thought for a while and said, "That is to say, all the non-trivial zero points of the Riemann ζ function are distributed on a special straight line on the complex plane, which is usually called the 'critical line'. ”

"All the points, all in a straight line?"

Jiang Shuiyuan didn't bother to correct her statement: "You can understand it like this. At least so far, more than 10 trillion non-trivial zeros have been calculated by scientists through computers are on the critical line, and these non-trivial zeros are increasing at a rate of billions or more every day. ”

"Ten trillion?" Liu Wei opened her mouth wide, "Isn't that proof?"

Jiang Shuiyuan shook his head slightly: "The famous mathematician Zagier also thought so when he was young. By studying some auxiliary functions derived from the Riemann ζ function, he felt that if more than 300 million non-trivial zeros were calculated, the Riemann conjecture could be roughly assumed to be true. In fact, no matter how many non-trivial zero points are calculated, they cannot be used as evidence to prove it, and can only play a certain psychological comforting role. In order to truly prove it, it is necessary to use rigorous logic and deduction. ”

Liu Wei Daqi: "Why are scientists so diligent in the Riemann hypothesis? It is important?"

Someone once said that if mathematics is the crown of human wisdom, then number theory is the crown jewel, and the Riemann conjecture is the most difficult spot to erase off the pearl. Of course, it's also very important. Statistics show that more than 1,000 mathematical propositions in today's mathematical literature are premised on the establishment of the Riemann hypothesis or its generalized form. Once the Riemann conjecture is proven, more than 1,000 new theorems will be added to the field of mathematics overnight, which will have a huge impact on the development of mathematics. ”

"More than a thousand theorems?! That's very, very important!"

As he spoke, Hui Qiongju walked in, and when he saw Jiang Shuiyuan, he said hello: "Yo, you are here too?"

"Okay!" Jiang Shuiyuan was about to get out, and immediately arched his hand at Liu Wei: "I'm sorry, the meeting will start soon, I'm going to my seat." ”

"Well, okay, good, thank you for your cooperation! By the way, you are from Huai'an Fu Middle School affiliated to Jingshi University, huh? If your point of view is quoted in the article, I will send a copy to your school. ”

：。 ：