The top student must be diligent
Chapter 139
Only Ye Cheng and the others became more and more uneasy.
…
"I don't know if you still remember that in our joint entrance examination, we passed Mr. Chen Jingrun's paper on proving Goldbach's conjecture."
"And in that question, we need to use the most basic sieve method - Ehrlich's sieve method."
The students present immediately recalled the question they had taken in the exam. This question was still fresh in their minds.
"Then, let's start from the Ehrlich sieve method and discuss how Mr. Chen Jingrun's sieve method was obtained."
"..."
Xiao Yi started to talk.
Although everyone in the class knew what Ehrlich's sieve method was, Xiao Yi's explanation also brought them different thoughts.
Moreover, as Xiao Yi gradually introduced modern sieving methods, such as Brown's sieve method, Selberg sieve method, etc., it also brought them a lot of inspiration.
Ye Cheng and others became confused.
Eh?
Where was their foreboding feeling?
Brother Xiao, is he really teaching seriously?
"... Next, we discuss the sieving method used by Chen Jingrun in the study of Goldbach's conjecture."
"His sieve method is derived from the [Great Sieve Method]. The basic idea is to control the distribution of prime numbers and almost prime numbers by estimating the number of numbers in certain sets - almost prime numbers refer to a number that has exactly two different 's prime divisor.
"... He constructed an appropriate number set A and defined a sieve set P... and then estimated the number of remaining numbers after excluding multiples of P from A through the large sieve inequality..."
As Xiao Yi finished explaining the sifting method used by Chen Jingrun, and the students below gradually became fascinated, he changed his words and said: "However, we need to note that the sifting method alone is not enough to make Chen Jingrun The gentleman completes his conclusion, which also requires the use of the circle method.”
Smiling slightly, "Mr. Chen Jingrun combined his sieve method and circle method to finally complete the proof of 1+2."
"But...1+2 is not 1+1."
"Whether we can turn 1+2 into 1+1, the key lies in how to further screen the almost prime numbers in the sieved set P."
"So……"
"We might as well try to combine the sieve method and the circle method! Let them form a new theory to help us conduct further screening."
Turning his head, Xiao Yi started writing on the blackboard.
[|S(A,P)|≤logP|A|……]
Finally, the students below finally realized something was wrong.
What?
Turn 1+2 into 1+1?
Did they hear it correctly?
If it becomes 1+1, doesn't that mean I have proven my guess?
Professor Wang was also confused.
What's going on? Aren't they in class?
Why did it suddenly feel like it was a top mathematics report site?
Seeing Xiao Yi simply list a few derivation formulas on the blackboard, the amount of information hidden in them is far beyond what students of this grade can understand——
It’s beyond the scope!
Ye Cheng and the others next to them burst into tears when they saw this.
Sure enough, Brother Xiao is still their Brother Xiao.
That’s it!
…
"...Now we introduce a type of polynomial expansion method. Well, according to the name in the mathematical community, we generally call this method Xiao's expansion."
Xiao Yi said slightly shyly.
Although it is relatively common in the scientific community to name mathematical methods with surnames, it still feels quite stinky to say it - of course, it is still slightly different, because Xiao expanded It was a name called by the mathematical community, not by him.
"The principle of Xiao's expansion is combined with a parity check classification sieve. In the process of using it, we can easily find that there is some harmony between the circle methods of Xiao's expansion. In other words, we can use this method , combining the circle method and the sieve method in another form.”
[L′/L (s′,ψ)=∑|ρs′|\u003c1(1/s′ρ)+ O(1/α…]
Xiao Yi became more and more involved as he talked, which almost helped him become familiar with the entire proof process again.
However, after seeing the increasingly outrageous derivation processes, the students in the classroom finally gave up thinking.
Aren't they here to listen to the class?
How did it become like this?
…
"Dingling bell~"
Finally, the belated bell finally rang.
Xiao Yi stopped before he finished and said: "Since get out of class is over, let's stop here for this class. Let's continue in the next class."
The students below suddenly showed horrified expressions.
ah?
Again?
Professor Wang couldn't sit still at this time and hurriedly came up and said: "You can stop talking here. I will also teach the students the contents of the book in the next class."
"That's it, okay then."
Xiao Yi had no choice but to nod.
Well, that's a pity.
The students finally breathed a sigh of relief at this time.
Fortunately, okay, next class, I finally don’t have to suffer anymore.
For these students in Hua Luogeng's class, today's class is a lesson for them, that is, never let Xiao Yi give lectures to them with nothing to do in the future, otherwise, they will only suffer.
…
Although he was unable to continue teaching, Xiao Yi had a normal class in the second class as he wished.
At least he experienced the life of a student.
After class, Xiao Yi went back to the entrepreneurship base and started writing his paper.
Giving a class also helped him sort out all the previous processes, which greatly facilitated the final step of completing the Goldbach conjecture.
Just like that, four days later.
…
"… In summary, we can prove that any even number greater than 2 can be expressed as the sum of two prime numbers."
"Goldbach conjecture, proved."
"2n, equal to p+q!"
Put down the pen in his hand and rubbed his wrist.
This problem that spanned hundreds of years of history finally came to an end in his hands.
He also officially solved two of the three problems involved in Hilbert's eighth question. The only one left was the Riemann conjecture!
But after waiting for a long time in his mind, he never heard the sound of BUFF upgrading.
Xiao Yi shook his head helplessly.
Obviously, the Goldbach conjecture cannot be evaluated as of high value.
It can only be said that it is within expectations, after all, the twin prime conjecture is only of medium value.
"Do we really have to prove the Riemann conjecture?"
This question can probably only be discussed later.
"Okay, the question now is, where should the paper be published?"
Because it has not been long since the absolute electronic calculation paper was published, and many people are still discussing it, so he does not plan to put it directly on arxiv, lest it will cause a big shock to the world once it is published.
It is better to submit it directly to the journal.
"We can't take up too many social resources."
He thought so in his heart.
In fact... he just wanted to relax himself a little during the period from submission to review.
Then he will welcome the attention of the whole world.
He can almost imagine how huge the shock will be when the news of the proof of the Goldbach conjecture spreads.
"What a happy trouble..."
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