Scholar’s Advanced Technological System

For Lu Zhou, class with undergraduates is also a review of knowledge points.

If it is normal, these things that are obvious to him are basically not considered. Only at this time can he temporarily put down the study itself and think about what is obvious and why it is obvious.

“… Many people know that GFB Riemann’s Conjecture is one of the most important and difficult conjectures in analytic number theory. It is a hypothesis about the zero distribution of Riemann zetafunction. But few people know why GFB Riemann’s Conjecture is Was it raised?”

“In fact, before GFB Riemann’s Conjecture, there was a larger proposition that had been studied by non-mathematics for centuries, that is, the distribution of prime numbers.”

Saying, Lu Zhou wrote a few numbers on the blackboard and looked forward to the students in the classroom to continue.

“Through the most basic arithmetic theorem, even junior high school students know that each positive integer can be expressed as the product of prime factors. If the order of prime factors is not considered, then this representation is unique, so the prime number becomes The basic elements that make up a positive integer.”

“However, the distribution law of prime numbers is not as easy to understand as its definition. It can even be said that the whole analytic number subject, one of the most basic missions, is also to study the distribution law of prime numbers.”

As the students in the classroom gradually entered the state, Lu Zhou knew that his class had almost succeeded in half.

Although GFB Riemann’s Conjecture is a very complicated problem, it is not as difficult to understand that it is not as much as people think. What is really difficult is how to solve it…

Paused, Lu Zhou continues.

“In analytic number theory, people usually study function π(x) and use it to represent the number of prime numbers that do not exceed x. Studying the distribution law of prime numbers is the basic mission of analytic number theory, while studying the behavior of π(x) , is the central issue of analytical number theory.”

“About the problem of π(x), Gauss and Legendre have done a lot of numerical calculations, and guess that when x tends to infinity, π(x)~x/lnx, this conjecture is later proved, that is, we Understanding the prime number theorem.”

“Euclidean proved that there are infinite numbers of prime numbers by using elementary methods, and Euler introduced a product formula. These pioneers provided the possibility to analyze the prime number problem, but until the 19 century 50 era, people did not Finding the right way to prove Gauss’s conjecture, until a German mathematics home, published a thesis entitled “The number of primes that do not exceed a given value” is the study of π(x) Open up a new path.”

“Many people may have guessed who this big cow is, yes, he is the Riemann I want to say, and the Riemann zetafunction he introduced in this thesis has influenced the future for a century and a half.”

Saying that Lu Zhou turned to face the blackboard, he wrote a line of calculations on the blackboard.

[ζ(s)=Σ1/n^s]

Looking around at the classroom of absolute silence, Lu Zhou continued.

“It’s this stuff… it doesn’t look too difficult, right?”

Student: “…”

MMP!

Where is it not difficult? !

“Riemann made further conjectures about the function he proposed in thesis, thinking that all the non-obvious zeros of ζ(s) are on the critical line. It turns out that his gaze is quite far-sighted and has been obtained through a lot of calculations. All non-obvious zeros are on a critical line. Unfortunately, although we know that it is a good probability, there is no way to prove that it is indeed correct.”

“Therefore, we often get a very beautiful result under GFB Riemann’s Conjecture, but if we can’t prove that GFB Riemann’s Conjecture is established, we can’t prove that our results are correct.”

“The reverse is also the same. If we can prove that GFB Riemann’s Conjecture is correct, then thousands of mathematical hypotheses that assume the existence of GFB Riemann’s Conjecture will be promoted to theorem!”

“If anyone can prove GFB Riemann’s Conjecture, he will undoubtedly be the greatest mathematics home of the century… I can say this very responsibly, even if this century has just begun.”

“Professor,” at this time, a student couldn’t help but raise his hand. After being Lu Zhou nodded, he stood up and asked excitedly. “If you can prove GFB Riemann’s Conjecture, compare it with you?”

“This is not a good comparison. After all, my achievements are not just in the mathematics field,” looked at the questioned student, Lu Zhou laughed, and gave an uncertain statement, “But if someone can really prove this conjecture, His achievements in the mathematics field will undoubtedly stand at the apex of this era.”

Next, Lu Zhou continued to talk about some of the research progress on GFB Riemann’s Conjecture, as well as some equivalent forms. Although they are all boring things, perhaps because of the change in the way they teach, the students obviously listen more seriously than the previous one.

I am very satisfied with the fact that I am getting back some status, Lu Zhou is proudly nodded in my heart.

The time passed by, and it was soon time for class.

Lu Zhou glanced at the wall clock on the wall. When the time was almost over, he dropped the chalk in his hand on the multimedia desk.

“This class is here, just now I just got some new ideas… Then, class.”

In the classroom, the voice of the textbook was smeared, and Lu Zhou clamped the lesson under the elbow and nodded the student who had seen him away, then turned and walked outside the classroom.

Going outside the classroom, Lu Zhou was preparing to go back to the office and record the inspiration that was produced during the class. Suddenly, Dean Qin, who did not know where to get it, stopped the way.

“A very good number theory class!” smiled and greeted him, Dean Qin said in a sigh of emotion. “Even after I finished listening, I benefited a lot.”

Lu Zhou is embarrassed to laughed.

“There is a prize. I haven’t given classes to undergraduates for a while.”

Dean Qin said with an understanding: “Everything has a sequence, it is a national interest. Compared to giving students a lesson, of course, your research is more important. Speaking, have you been busy recently?”

Lu Zhou: “Is not very busy, what happened?”

“It’s like this, there is one thing I want to ask you,” Dean Qin coughed softly and said, “Have you heard of the Olympic mathematics competition?”

Lu Zhou: “I heard that I heard that there is any problem?”

He certainly heard of the IMO contest, although he did not have the opportunity to participate.

Everyone who wins the IMO Gold Medal every year is the same athlete who is enlightened being.

For example, Schultz, who he knows, is called by Mantings, one of the three youngest scholars on the World who are most promising to surpass him. He has won three IMO gold medals in a row.

As for being asked to why he took the gold medal and then signed up for two sessions, according to him, it is because he feels fun…

Dean Qin said with a smile: “This is the case. Didn’t the national high school mathematics league last month? The top names in the provinces have already been selected. To the national finals of the 1 winter camp next year, take 30 students. Entering the national training team. Now it has been 11 months, and it is almost time to prepare questions.”

Lu Zhou squatted a little and then lost with a smile: “… Shouldn’t you come to me as a proposition?”

Dean Qin: “This is not for me. It is the invitation of the Chinese mathematics to learn from there. They hope that you will be the protagonist of the final finale.”

Lu Zhou: “Let me be a propositioner?”

Dean Qin said with a smile: “What is wrong with this. The last question in the national finals in previous years is also the academician’s proposition. You are not only an academician, but also a Fields Prize winner. If you are not suitable, who else? Can it be suitable?”

Lu Zhou: “That’s all, just the last question.”

“Well, I will ask you about this,” Suddenly remembered something. Dean Qin quickly added another sentence. “Right, don’t make it too difficult. If anyone can’t do it, it doesn’t make sense.” “”

“Reassure, I won’t be too hard,” said Lu Zhou, taking a piece of draft paper from the lesson under the elbow and tearing the corner down and writing it.

Watching Lu Zhou take out the draft paper and write it, Dean Qin squats, then didn’t know whether to cry or laugh.

“You shouldn’t be planning to leave a question here?”

Lu Zhou: “No?”

Dean Qin Khan said: “This is the national final. How to say it is a good idea.”

“I have already considered it,” wrote a question on paper. Lu Zhou folded the draft paper and gently stuffed it into Dean Qin’s hand. “For me to transfer to the Chinese mathematics, I should have no problem with this topic. “”

Suddenly watching Lu Zhou’s back, Dean Qin moved his eyes to the scratch paper in his hand and silently opened his eyes.

“…Riemann zetafunction?”

Muttered in her mouth, Dean Qin touched her chin and thought about herself.

“Can such a contest student do it?”

However, at this time, he suddenly seemed to think of something, his eyes were slightly bright.

“Oh… wait, this question seems a bit interesting…”

God mysteriously looked around, Dean Qin carefully put the paper into the pocket, then turned and walked in the direction of the office.