Chapter 198 No, bro, are you really good at it? (4k)
Jiang Yuhua remained silent, and she did not continue to question.
Instead, he looked at Xu Qingshan's draft, listened to Xu Qingshan's explanation of his ideas, looked at the draft suspiciously, and then quietly watched Xu Qingshan's performance, sighing secretly in his heart.
Is the threshold for young people to pick up girls now so high?
You have to learn number theory to this level first, and then come up with something that even mathematics majors may not be able to understand to show off?
Jiang Yuhua sighed secretly in his heart.
but.
Jiang Yuhua glanced at Jiang Huanxi and then at Xu Qingshan.
I saw that Jiang Huanxi was now concentrating on Xu Qingshan and the draft paper in front of him, listening attentively, but even she herself did not notice that her breathing was getting more and more stuffy, her face was getting redder and redder, and her whole person looked like It's a steamed shrimp head.
Ou~
My good niece, don’t turn into a shrimp~
Jiang Yuhua said with emotion.
But at the same time, she also admired Xu Qingshan's cleverness in her heart.
Although Jiang Yuhua did not think that Xu Qingshan had the ability to demonstrate the weak twin prime conjecture, even though she had heard from Jiang Huanxi in advance that Xu Qingshan was the top scorer in Minyue Province this year, she quickly found Xu Qingshan's mathematics history paper on probability and statistics. , and his performance on ICML.
But these do not prove that Xu Qingshan has the ability to prove the weak twin prime conjecture.
In Jiang Yuhua's perception, this is not on the same level at all.
But look at it from the perspective of picking up girls.
Jiang Yuhua had to admit that Xu Qingshan was really smart.
Number theory is a very magical existence, and this is true in the field of mathematics.
If you have to compare it with other existences, you can think of it as a perpetual motion machine in mathematics.
The aspect of the analogy is not achievement achievement and difficulty of achievement.
But the threshold.
The threshold for number theory is really very low. There are many theorems, formulas and inferences, especially the elementary number theory part, which even primary school students doing the Mathematical Olympiad can understand.
This also gives many civilian experts who are trying to prove that they have cracked problems related to number theory a threshold to write letters and enter the field.
Just like every year there are people claiming to have designed a perpetual motion machine.
It's even like every young person who loves physics but has no talent, but hopes to prove his talent in physics.
They will all try to design their own perpetual motion machine.
Oh~
The first perpetual motion machine for young people!
It was youth full of vitality.
According to Jiang Yuhua’s complaints from classmates working at the Chinese Academy of Sciences, every year the Chinese Academy of Sciences receives countless letters from civil science experts.
Among them, physics ranks first and mathematics ranks second.
Perpetual motion machines ranked first, and Goldbach's conjecture ranked second.
After all, for many civil scientists, they think it is too simple to prove that 1+1=2!
High school students prove Goldbach's conjecture every year!
Even Jiang Yuhua at Princeton has heard that the old man in the security office of the Institute of Mathematics of the Chinese Academy of Sciences holds nine mathematical problems. Anyone who comes over to prove what he has proved must first solve the problems and then go in and submit them. Material.
Jiang Yuhua also checked with his classmates because of this.
The classmate said that there are no old men in their guard room at all. They are full-time security guards, but it is true that not everyone can be let in.
Jiang Yuhua sorted out his messy thoughts and looked at the little boy in front of him who was still talking enthusiastically with complicated eyes.
Handsome is quite handsome.
It’s a pity that the pretense is only for professionals.
"actually."
Jiang Yuhua cleared his throat and spoke.
"If you really want to be in the field of number theory, or if you want to prove something or achieve something, it's not that simple. You must first lay a solid foundation in number theory, and you must also have enough research inspiration."
Jiang Yuhua couldn't care less about Xu Qingshan's need to act like a big-tailed wolf in front of Jiang Huanxi.
She was worried that the young man had gone astray.
Be a good kid and don't waste your study time and talent just to pick up girls!
"That's true."
Xu Qingshan nodded with understanding.
"Huanxi, did you hear what your sister-in-law said?"
Xu Qingshan said to Jiang Huanxi seriously in Jiang Yuhua's disbelieving eyes.
"You must not be impatient when doing mathematics. You must work steadily, step by step, and seize every inspiration."
Jiang Yuhua was a little confused.
No, young man, sister, I’m talking about you!
"Okay, let's get back to the problem."
Xu Qingshan turned the pen in his hand and continued to turn to the next page of draft paper to tell Jiang Huanxi.
"We want to know about the infinity of twin primes."
Jiang Yuhua's originally weird expression suddenly became serious when he looked at the few lines of calculations written by Xu Qingshan on the draft paper.
"Looking at it from this point of view, do you remember what method Mr. Chen Jingrun used when he proved the 1+2 of Goldbach's conjecture?"
Xu Qingshan asked Jiang Huanxi coaxingly.
Jiang Huanxi nodded, like a simple little white rabbit, looking confused at the calculation written by Xu Qingshan, and answered Xu Qingshan's question.
"Sifting method."
Just as Jiang Huanxi finished answering, Xu Qingshan nodded and continued.
"When Mr. Chen Jingrun analyzed Ω, he discovered that its upper bound can actually be calculated through a simple sieve method. The specific method is to separate the prime number p for discussion."
Jiang Yuhua's eyes tightened and he stared at the words Xu Qingshan added to the draft.
"Carry out preliminary processing of the error term R and further complete the construction of the new mean value theorem."
Xu Qingshan is a teacher at heart.
Now when I was telling Jiang Huanxi, even if there was a Princeton Ph.D. in mathematics sitting next to him, he didn't show any timidity at all.
He fully demonstrated what he had learned, thought, and felt in recent times.
"After transforming into the original feature sum. You see here, according to the Siegel-Walfisz theorem, we know that when χ is a non-trivial feature, there must be"
"Combined with the previous experience in deriving the Bombieri-Vinogradov theorem, we divided the parameter interval."
"The application of complex integrals can help us clarify relationships and specific sizes better and more quickly."
"Based on the large sieve method inequalities of Dirichlet characteristics. Use Cauchy's inequality. Carry out interval segmentation again and make new assumptions. Finally complete the upper bound estimation and enter integration."
"Huanxi, look at what I wrote. If you are unclear about this part of the content, I can explain it to you one by one. This will be of great help to our subsequent work."
Xu Qingshan looked at Jiang Huanxi, who had a hot face in front of him and seemed to have had a brain breakdown.
Secretly sighing.
Sure enough, not everyone of the same age can keep up with my brother's pace.
But the other party is a little ostrich, so I have no choice but to help him.
"no."
While Xu Qingshan was still observing Jiang Huanxi's CPU temperature, Jiang Yuhua next to him was already looking at Xu Qingshan with a dull expression and said subconsciously.
"Um?"
Xu Qingshan looked at the royal aunt.
"Brother, are you really good at it?"
Jiang Yuhua's expression was stiff.
She didn't expect that she would be able to listen to a newly graduated high school student perfectly explain the final proof of proposition 1+2 in this kind of tea restaurant.
Clear organization, clear ideas, complete tools, and appropriate inferences.
"Ah?" Xu Qingshan was stunned for a moment.
"Sister, did you just think I was joking?"
"No, it's just that I didn't expect your mastery of number theory and upper bound sieve to be so complete. It seems that you are really suitable for learning mathematics."
"Study math?"
Xu Qingshan shrugged, took a sip of his frozen lemon tea, and stirred the ice bear.
"Maybe I'm suitable for academics, whether it's mathematics, computer science, physics, etc."
Xu Qingshan's words made Jiang Yuhua's double eyelids twitch crazily.
I complimented you, but you still got out of breath?
Forget it, based on Xu Qingshan’s current display of basic mastery of number theory and understanding of sieving methods, Jiang Yuhua felt that this kid was just pretending to be pure strength.
Jiang Yuhua felt that he had no reason to criticize him.
But she had already spoken, how could Xu Qingshan leave this doctor of mathematics here unused.
"Sister, Huanxi is still thinking, how about we talk about our ideas first?"
Xu Qingshan took the initiative.
Jiang Yuhua raised her eyebrows, feeling a little uneasy.
Her strength in number theory was pretty good, but she was far from expert. If she had to sit down and talk with Xu Qingshan, she felt that she might not be able to beat Xu Qingshan.
Especially when he just saw Xu Qingshan show his holiness in front of him, Jiang Yuhua was a little more stressed.
What the hell?
A kid who just graduated from high school actually makes me feel stressed?
“Okay.”
Jiang Yuhua said one word from his clenched teeth.
"Has my sister read the 'Research on the Supplementary Study of Topology to Sieve Method Theory' published by Professor Zellberg in the "Annals of Mathematics" in 1995?"
"Have seen a little bit."
"That"
As Xu Qingshan spoke, he took out another blank piece of draft paper and wrote.
Jiang Yuhua concentrated on answering Xu Qingshan.
It was obvious that Xu Qingshan's current grasp of number theory was far stronger than she had imagined, and she could only answer in ten minutes.
The dishes on Jiang Yuhua's table were all served, but cold sweat broke out on her forehead.
"Yeah, so that's the part of my current thinking."
Xu Qingshan finally stopped.
This made Jiang Yuhua breathe a sigh of relief.
"Then do you have anything to add? Or do you have any suggestions for me?"
Xu Qingshan looked at Jiang Yuhua seriously.
"Haha. I have nothing to add. The ideas and methods are good. Keep up the good work."
Jiang Yuhua replied subconsciously.
She really has nothing to add!
Mathematics is generally divided into three states.
One can understand it, one can understand it slowly by learning while watching, and one can't understand it just because he can't understand it.
They say that in times of crisis, people can do anything.
But mathematics is not good, no matter how critical you are.
If you can't do mathematics, you just can't do it. If you can't understand it, you really can't understand it.
Mathematics, especially cutting-edge mathematics, has always been a game for a small number of people.
And Jiang Yuhua was very sure that the young man in front of him was one of the few.
For her, she has done her best to become a student and doctor at Princeton. As for her academic career, her experience studying at Princeton and conducting some in-depth research on academic topics with her tutor are the most glorious moments of her academic career. .
But Xu Qingshan is different.
People like him were born into the minority.
If he had gone to Princeton, he would have been inducted into the Princeton academic halls.
There seems to be little difference between them, but in fact they are worlds apart.
Although Xu Qingshan has not yet proposed a complete proof of the twin prime conjecture, he has not even finished the proof of the weak twin prime conjecture in his hand.
But his genius level has already revealed the tip of the iceberg in front of Jiang Yuhua.
Jiang Yuhua has not forgotten.
The young man in front of me is also a small expert in machine learning in the computer field.
This was the first time that she most intuitively believed that Ramanujan's "divine knowledge theory" was real, because apart from those who were born with knowledge, it was difficult for her to find other reasons to explain the strength of the young man in front of her.
"Okay, then I'm going to take a trip today."
Xu Qingshan sighed with regret.
Jiang Yuhua's fist became hard.
It’s useful to call me sister, but it’s useless to call me aunt, right?
Okay, okay, you kid.
"I seem to understand this idea."
Jiang Huanxi, who was immersed in clarifying his thoughts carefully, exclaimed. Xu Qingshan came over, and the two young people began to discuss again.
Xu Qingshan is mainly guiding Jiang Huanxi.
He is always implementing his Feynman learning method. While explaining, he is also constantly streamlining and clarifying his ideas in an attempt to gain more inspiration.
In fact, he had grasped some points in the questions and answers with Jiang Yuhua just now, but the distance was still a bit far away.
That sense of distance seemed to tell him.
He is still a long way from truly proving the weak twin prime conjecture, and he needs to have a more solid mathematical foundation and accumulation.
Xu Qingshan is not in a hurry about this.
"That's it for today. If you talk more, your little head will burn."
Xu Qingshan smiled and looked at Jiang Huanxi who was in a stagnant state.
"My aunt is still here. If you don't know, just ask her. We won't be anxious about this problem for a while. I think we will have to focus on solving this problem when we go to school."
Xu Qingshan rubbed Jiang Huanxi's little head.
Jiang Yuhua on the side was stunned.
never mind.
Such genius.
He can handle Huanxi very well, and it seems that Xu Qingshan plans to directly bring his own little Huanxi into this subject.
Jiang Yuhua was so envious that his teeth itched with envy.
When I was studying, why didn't a handsome guy like Xu Qingshan come to guide me?
"Eat something. If you use your brain for too long, you'll get hungry easily."
Xu Qingshan waved and ordered some snacks.
Looking at Jiang Huanxi who was already confused, he smiled fondly.
He handed the draft to Jiang Huanxi and took it back to study carefully. After having a full meal and tea, Jiang Yuhua took Jiang Huanxi back to continue digesting it. Xu Qingshan himself returned to the rented house with Jiang Yuhua's approval and Jiang Huanxi's admiration.
He's a busy man.
Today I will teach number theory with Jiang Huanxi during the day, and I will teach Olympiad with Tong Tong in the evening.
(End of chapter)