Scholar’s Advanced Technological System

Fully referred to as the "Hardy Litterwood Circular Method”, the Circular Method is not only an important tool for studying Goldbach's conjectures, but also an important tool often available in the analysis of mathematics.

And the invention of this tool is not about Gothenbach. The prevailing view in the mathematical world is that this concept first emerged in Hardy's study of the issue of "gradual analysis of integer splitting” with Ramanukin, and then was supplemented in Hardy's work with Litewood on the issue of Huarin.

Today, as an important tool for studying Gothenbach's assumptions, this tool has been developed by future generations of mathematicians.

For example, Helfgott, who stands on the podium, is the bull of today's theory of numeracy.

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

“… since odd minus odd numbers is an even number, and guess A assumes that any even number is equal to the sum of the two primes, guess B is inferred from guess A, and any odd number greater than 9 can be written as the sum of the three odd numbers. ”

Speaking of opening remarks, Helf Gotton, go on.

“And what I'm talking about is the weak speculation that proves his Gothenbach speculation, that is, speculation B! ”

Guess A is established, Guess B is established.

But not the other way around.

As for why, this is a very interesting question in logical mathematics. It is difficult to describe in primary mathematics, but in descriptive terms, a collection of "any sum of odd and odd numbers greater than 9" is not equivalent to the set of "any even number”, and all elements of the intersection are infinite and cannot be proved to be exhaustive.

In fact, in the abstract, whether it is the "even set” of the round method or the “1 +1 form” of the sieve method, everyone is half a pound and eight taels, which is the last step away from the door.

This distance could be across a river or two mountains.

After a brief opening remark, Helfgott didn't give a shit, and wrote a line of formulas on the whiteboard.

[… When 2 || N, there is r3 (N) = 12n (N ² N ³) (1-1 (p-1) ²) (1 +1 (p-1) ²), (1 + O (1))]

The moment I saw this line of formula, the ark's eyes lit slightly.

This line of expression was not randomly written by the old gentleman. It was just one of the many expressions put forward in the 1922 paper by the two digits of Hardy and Littwood!

When studying twin count speculation, the ark happened to have read the literature and even quoted some of its conclusions.

And that's why he was so impressed.

Looks like this is gonna be interesting.

The old man, standing in front of the white board, said nothing and continued to write with a marker pen.

The crowbirds in the hall were silent.

Not only is Ark listening very seriously, but even the other bosses are listening very seriously.

There is a specialty in the arts, and even a big man can't get into someone else's realm in an instant. Therefore, the papers at the general report meeting will be released early on the official website of the meeting for people to study and write the questions to be asked on the notes.

If the report does not answer your own questions, ask questions during the questioning session, that is the correct attitude to listen to the academic presentation, not just to look at the lively past, even if you have participated by applause.

More than forty minutes later, Helfgott stopped the marker pen in his hand and turned to the venue.

“This is the basic proof process, and if you have any questions, you can ask them now. ”

The ark raised its hand.

Helfgott and the ark nodded, indicating that he could get up and speak.

sweeping the notebook, the ark stood up and asked.

“I have questions about the formulas listed in your line 34. Each integer n > 0 is derived directly from your calculation of = ● a (n) z ^ n + δ (n). I'm guessing you're probably using the Cosy-Gusa theorem or its theoretical retention theorem. But how do you determine that function f (s) is a fully pure function? ”

There was a whisper in the room.

Obviously, the question asked by the Ark asked many hearts and minds.

“That's a good question," Helfgott looked at the ark unexpectedly, turned around and wrote down a line of formula on the whiteboard, and the marker pen knocked on it, "Got it? ”

Seeing that line of formula, the ark nodded slightly.

“Got it, thanks. ”

Courtesy nodded, and the ark sat back and copied the supplementary formula on the white board.

Although his research was mainly screening, Mr. Helfgott's methodology was also quite instructive in his research work. The same is true of so-called research work, which refines one's theory in exchange discussions and frictions new ideas in the collision of ideas.

Someone poked him in the arm right next to him while the boat was organizing his notes.

“I'm sorry, can I ask you a question? ”

Speaking was a little pale skin with a slightly curly blonde head.

The reason is because she looks a little younger, a little shorter than the ark, probably an undergraduate student at Berkeley... If she is a graduate student, the ark is absolutely unbelievable anyway.

Though her English pronunciation is a bit harsh, her voice is light and unexpectedly a bit nice.

Whether the voice sounds good or not, for the ark, someone discussed mathematical issues with him, as long as it was not unreasonable, he would never refuse, so it was easy to say: "Ask. ”

The girl blinked, some embarrassment pointed to the fingerboard and said, "I'm sorry, that... what did you get? ”

Seeing that line of formula, she had no idea.

“You mean the expression?” Probably guessed the question she wanted to ask, and the ark explained patiently: “Because I (n) = (8) {f (s) s ^ (n +1)} ds = 2πian in that line of formula, which is a closed-orbit integral, you can go back to the original formula and apply the retention theorem directly. Professor Helgoft may have jumped rather hard to understand and thought about. ”

Listening to the explanation of the ark, the girl panicked and took notes on the book.

From her immense note-taking technique, Ark became more convinced of her speculation that she was probably undergraduate.

But undergraduates listen to this kind of lecture. Do you really understand?

Afraid she'd be embarrassed to ask, "Any more questions? ”

“Thanks, no more... Sorry, can I have your email? I have many more questions to ask… you.” Because she was too nervous, this seemingly rude girl accidentally bit her tongue and blushed.

I can see she's not very good at communicating.

Again, not particularly good at socializing, the ark is understandable, so I didn't care, and said randomly: “It's okay. Besides, you don't have to always say 'sorry’. My name is Ark. What's your name? ”

“I know your name is Ark, I saw you at the opening ceremony," I may have suddenly remembered that I haven't given myself a name yet, and the girl embarrassed to add, "My name is Vera, and I study in Berkeley... I am interested in pure mathematics, especially in the direction of mathematics. ”

Vera?

Sounds a little Hebrew, Russian?

Underneath the ark consciousness swept her chest, and although it was not as bad as Hirakawa, it was also a little sour.

emmm…

Probably not.

“Excuse me, how old are you this year? ”

“17…”

The ark looked at her with some surprise: "Can I go to Berkeley at 17? ”

At this age, he hasn't finished high school yet.

“I am the IMO Gold Guarantee...” Vera laughed with embarrassment and said admirably, “Of course, it's not worth mentioning compared to you who have solved two mathematical assumptions...”

The ark stunned and said, "... No, the gold medal for the Olympic Mathematics Competition is already strong, so you can be confident and not be paranoid. Surprisingly, you got a gold medal when you were 15? How old were you in high school--”

That was when the last questioner concluded his statement and saw that no further questions had been asked, and Mr. Helfgott on the stage declared the report closed.

“We still have a long way to go to fully prove Goldbach's assumptions. ”

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

Helfgott nodded slightly and walked down the stage in a round of applause.

The ark is still interested because it has not competed in the IMO competition. He was going to talk to the little girl who had won the gold medal, but it was too late to see her, so he happened to have something to do, so he set it aside, packed up his notes, and walked out of the room.