Scholar’s Advanced Technological System

The full name of the round method is “Harday Redwood Round Method”, which is not only an important tool for studying Goldbach’s conjecture, but also an important tool often used in analytical number theory.

The invention of this tool is not on the Goldbach issue. The general view of the mathematics community is that this concept was first introduced by Hardy in the Ramanujin study on the asymptotic analysis of integer splitting, and then when Hardy and Littlewood collaborated on the Hualin issue. , was added to complete.

Today, as an important tool for studying Goldbach’s conjecture, this tool has been promoted by later mathematics.

For example, Helfgott standing on the podium is the big cow of the theory of round law in the field of number theory.

“…Goldbach’s conjecture is that any even number greater than 2 can be written as the sum of two prime numbers, which we tentatively call conjecture A.”

“…Because the odd number minus the odd prime number is an even number, the guess A thinks that any even number is equal to the sum of the two prime numbers. Therefore, the guessing A can be used to guess the inference B, and any odd number greater than 9 can be written as the sum of the three odd prime numbers. “”

The opening remarks are here, Helf Gott paused, continue to say.

“And the ’round method’ that I am talking about is the weak conjecture that proves his Goldbach conjecture, that is, guess B!”

Guess that A is established, and guess B must be established.

But the other way around, but not.

As for why, this involves a very interesting question in a logical mathematics. It is difficult to describe with elementary mathematics, but in a descriptive language, it is a set of “any sum of odd and odd primes greater than 9”, which is not equivalent to the set of “any even number”, and is in the intersection. All elements are infinite and cannot be proved exhaustively.

In fact, from an abstract point of view, whether it is the “even set” of the circle method or the “1+1 form” of the sieve method, everyone is birds of a feather, which is the last step.

This distance may be separated by a river or by two mountains.

After a brief opening remark, Hulfgot did not talk nonsense and wrote a line of calculations on the whiteboard.

At the moment of seeing this line of calculations, Lu Zhou’s eyes were slightly brighter.

This line of expression is not the old mister’s random scribble, it is the two-digit argument of Hardy and Littlewood, one of the many expressions proposed in the thesis of 1922 year!

When studying the Twin Prime Number Conjecture, Lu Zhou looked at the literature and even cited some of the conclusions.

It is for this reason that he is very impressed with this.

It seems that this report will be a bit interesting.

Standing in front of the whiteboard, the old man brief remark hair, continue to write with the marker shua shua shua.

Absolute silence in the venue.

Not only Lu Zhou listened very seriously, but even the other big brothers listened very seriously.

Everyone has their own field of specialisation, and even if it is a big man, it is impossible to go deep into other people’s fields in an instant. Therefore, thesis at the general report meeting will be released in advance on the conference official website for people to preview and write the questions to be asked on the notes.

If the report does not answer your own questions, ask questions in the questioning section. This is the correct posture for listening to the academic report. It is not just a matter of watching the excitement and taking the time to participate.

After more than a minute of 40, Helfgot stopped the marker and turned to look at the venue.

“The basic proof process is like this. If you have any questions, you can ask questions now.”

Lu Zhou raised his hand.

Helfgott and Lu Zhou were on the line of sight, nodded, indicating that he could speak up.

After sweeping his eyes, Lu Zhou stood up and asked.

“I have doubts about the formulas listed in your 34 line. In the operation of =∑a(n)z^n+δ(n), you can directly derive each integer n>0. I guess the possibility you use. It is the Cauchy-Gusa theorem or its inference residue theorem. But how do you judge that function f(s) is a purely pure function?”

There was a whisper in the venue.

Obviously, Lu Zhou asked this question and asked many people’s hearts.

“This question is very good,” Hurst Gott accidentally looked at Lu Zhou, turned and wrote a line on the whiteboard, and then the marker was knocked on it. “Do you understand?”

Seeing that line of calculations, Lu Zhou’s expression is slightly awkward, nodded.

“Understood, thank you.”

Politely nodded, Lu Zhou sat back and handed over the supplementary formula on the whiteboard to the notebook.

Although his research is mainly on screening, the method of Herfgot Mister is also instructive to his research work. The so-called research work is exactly the same, perfecting his own theory in exchange discussion, and rubbing new ideas in the collision of thinking.

Just as Lu Zhou sorted out the notes, someone next to him poked his arm.

“Sorry, can you ask a question?”

I spoke to a little girl with a slightly pale skin and a small blond hair.

The reason why it is a little girl, because she looks younger, is a little shorter than Lu Zhou, probably to increase the undergraduate students at Berkeley… If she is a graduate student, Lu Zhou is absolutely unbelievable.

Although her English pronunciation is a little jerky, the sound is very light and the accident is a bit nice.

Regardless of whether the sound is good or not, for Lu Zhou, someone discussed the mathematics problem with him. As long as he was not unreasonable, he never refused, so he said very generously: “Ask.”

The girl blinked, and some pointed at the whiteboard and said, “Sorry, that… what did you know?”

She didn’t understand it when she saw the formula.

“Are you asking that expression?” Probably guessed the question she wanted to ask. Lu Zhou explained patiently: “Because I(n)=∫{f(s)/s^(n+ in the calculation formula) 1)}ds=2πian, this is a closed-track integral, so you can use the residue theorem directly when you return to the original. The idea of ​​the Helgoff Professor can be more leaping, really difficult to understand, think more “”

Listening to Lu Zhou’s explanation, the girl hurriedly took notes in the book.

From her measurable note-taking approach, Lu Zhou was more convinced of her guess that she was probably studying undergraduate.

But can the undergraduate listen to this kind of lecture really understand?

Afraid that she was embarrassed to ask, Lu Zhou casually said: “Is there any doubt?”

“Thank you, no… Sorry, can you give me your email? I still have a lot of questions to ask…you.” Because it was too nervous, the girl who looked a little rash, accidentally bite her tongue. The face is red.

I can see that she is not very good at communicating with people.

Also not particularly good at communication, Lu Zhou can understand, so I didn’t care, casually said: “It doesn’t matter. In addition, you don’t have to always say ‘sorry’. My name is Lu Zhou, what is your name?”

“I know that you are Lu Zhou. I saw you at the opening ceremony.” It may be that I suddenly remembered that I had not reported my name yet. The girl was embarrassed to add a sentence. “My name is Vera, I am studying at Berkeley… …very interested in pure mathematics, especially in the direction of numbers.”

Willa?

Sounds a bit like Hebrew, Russian?

Lu Zhou subconsciously swept her chest, although it was not a flat, but it was really shabby.

Emmm…

Probably not?

“Try to ask, how old are you this year?”

“17…”

Lu Zhou looked at her amazedly: “Can 17 be on Berkeley?”

At this age, he has not graduated from high school.

“I am an IMO gold medal…” Vera was embarrassed to laughed, and she said with admiration, “Of course, it’s not worth mentioning that you have solved two mathematics guesses…”

Lu Zhou squatted and said, “…no, the gold medal in the Olympic mathematics competition is already strong. You can be confident and don’t have to be arrogant. Surprisingly, you got the gold medal when you were 15? You are a few years old. High school -“

At this moment, the last questioner finished his speech and saw no one continued to ask questions. The Hirst Mister on the stage announced the end of the report.

“We have a long way to go to fully prove the Goldbach conjecture.”

“My report will be here, thank you for coming!”

Hulf Gott was lightly nodded, and walked down the stage in a round of applause.

Lu Zhou is still very interested because he has not participated in the IMO competition. Originally, he also planned to talk to the little girl who got the gold medal, but it was not too late. It happened that he still had something to do. He put the matter aside, packed up the notes and walked outside the venue. go with.