Just turned over a new leaf and became a wise and intelligent student

Chapter 198 No, buddy, are you really good at it? (4k)

Jiang Yuhua said nothing, and she did not continue to question.

Instead, he looked at Xu Qingshan's draft, listened to Xu Qingshan explain his ideas, looked at the draft suspiciously, and then watched Xu Qingshan perform quietly, sighing in his heart.

Is the threshold for young men to pick up girls so high nowadays?
Do you have to learn number theory to this extent first, and then show off by showing off something that even students majoring in mathematics may not be able to understand?
Jiang Yuhua sighed secretly in his heart.

but.

Jiang Yuhua glanced at Jiang Huanxi, then at Xu Qingshan.

Jiang Huanxi was now concentrating on looking at Xu Qingshan and the draft paper in front of him and listening attentively. However, she herself did not notice that her breathing was becoming more and more heavy and her face was becoming redder and redder. She looked like a steamed shrimp head.

欧~
My dear niece, don't turn into a shrimp head~
Jiang Yuhua sighed.

But at the same time, she was also full of admiration for Xu Qingshan's cleverness.

Although Jiang Yuhua did not think Xu Qingshan was capable of proving the weak twin prime conjecture, even though she had heard from Jiang Huanxi in advance that Xu Qingshan was the top scorer in Min Yue Province this year, she quickly looked up Xu Qingshan's mathematical history papers on probability and statistics, as well as his performance at ICML.

But these cannot prove that Xu Qingshan has the ability to prove the weak twin prime conjecture.

In Jiang Yuhua's opinion, these are completely different things.

You can 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 in the field of mathematics.

If you must make an analogy between it and other entities, you can think of it as the perpetual motion machine of mathematics.

The analogy is not about the results of the achievement and the difficulty of achieving it.

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 studying Olympiad mathematics can understand.

This also allows many amateur scientists who attempt to prove that they have solved number theory-related problems to have the threshold to write letters and enter the field.

Just like every year there are amateur scientists who claim that they have designed a perpetual motion machine.

It's just like every young person who loves physics but has no talent, but hopes to prove his or her talent in physics.

They all try to design their own perpetual motion machine.

Oh ~
The first perpetual motion machine for young people!

That is youth full of vitality.

According to Jiang Yuhua's classmates who work at HUST, HUST receives countless letters from amateur scientists every year.

Among them, physics ranked first and mathematics ranked second.

The perpetual motion machine ranks first and the Goldbach conjecture ranks second.

After all, for many amateur scientists, they think proving 1+1=2 is too easy!

Every year high school students prove the Goldbach conjecture!

Even Jiang Yuhua, who was in Princeton, had heard that an old man at the guard room of the Institute of Mathematics of the Huazhong University of Science and Technology came with nine math problems and anyone who wanted to prove that he had proved something had to do the problems first before they could go in and hand in the materials.

Jiang Yuhua also confirmed this with her classmates.

My classmates said that there were no old men in their guard room. They were just middle-aged security guards. However, not everyone could be allowed in.

Jiang Yuhua sorted out her messy thoughts and looked at the little boy in front of her who was still talking enthusiastically with complicated eyes.

Handsome is quite handsome.

It’s a pity that I’m showing off in front of professionals.

"actually."

Jiang Yuhua cleared his throat and spoke.

“If you really want to be in the field of number theory, or want to prove something or make some achievements, it’s not that simple. You must first lay a solid foundation in number theory, and also have enough research inspiration.”

Jiang Yuhua didn't care about Xu Qingshan's need to act high and mighty in front of Jiang Huanxi.

She was worried that the young man had gone astray.

Be a good kid, don’t waste your study time and talent just to pick up girls!

"It is indeed the case."

Xu Qingshan nodded with deep understanding.

"Huanxi, did you hear what your aunt said?"

Xu Qingshan spoke seriously to Jiang Huanxi while Jiang Yuhua looked at him in disbelief.

“When doing mathematics, you must not be impatient. You must proceed steadily, step by step, and seize every inspiration.”

Jiang Yuhua was a little confused.

No, boy, 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 explain to Jiang Huanxi.

“We want to understand the infinity of twin primes.”

Jiang Yuhua's originally strange expression suddenly became serious when he looked at the several lines of formulas written by Xu Qingshan on the draft paper.

"From this perspective, do you remember what method Mr. Chen Jingrun used when he proved the 1+2 of the Goldbach conjecture?"

Xu Qingshan asked Jiang Huanxi in a seductive way.

Jiang Huanxi nodded, like an innocent little white rabbit, looking at the formula written by Xu Qingshan in confusion, and answering Xu Qingshan's questions.

"Sieve method."

As soon as Jiang Huanxi finished answering, Xu Qingshan nodded and continued.

"When Mr. Chen Jingrun analyzed Ω, he found that its upper bound could be calculated by a simple sieve method. The specific method was to single out the prime number p for discussion."

Jiang Yuhua's eyes narrowed as she stared at the words Xu Qingshan added to the draft.

"Preliminary processing of the error term R is performed to further complete the construction of the new mean value theorem."

Xu Qingshan is a know-it-all by nature.

Now, as he was explaining this to Jiang Huanxi, he did not show any fear even though a PhD in mathematics from Princeton was sitting next to him.

He fully displayed what he had learned, thought and felt in recent times.

"After converting to the original characteristic sum, you see here, according to the Siegel-Walfisz theorem, we know that when χ is a non-trivial characteristic, there must be"

"Combining the experience of deriving the Bombieri-Vinogradov theorem, we divide the parameter interval."

"The application of complex variable integrals can help us clarify relationships and specific magnitudes better and more quickly."

"Based on the large sieve inequality of the Dirichlet characteristic, using the Cauchy inequality, we will split the interval again and make new assumptions. Finally, we will complete the upper bound estimation and enter the integration."

"Huanxi, take a look at what I wrote. If you have any questions about this part, 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 in front of him, whose face was hot and whose brain seemed to have crashed.

Secretly sighing.

Sure enough, not everyone of my age can keep up with my brother’s pace.

But the other party is a little ostrich, there is no way, I have to give him a hand.

"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 spoke subconsciously.

"Ok?"

Xu Qingshan looked at this royal aunt.

"Dude, you really can do it?"

Jiang Yuhua's expression was stiff.

She didn't expect that she would be able to listen to a high school graduate who had just graduated explain the final proof of Proposition 1+2 in a tea restaurant like this.

The organization is clear, the ideas are clear, the tools are complete, and the reasoning is appropriate.

"Ah?" Xu Qingshan was stunned.

"Sister, did you think I was joking just now?"

"No, it's just that I didn't expect that you have such a thorough grasp of number theory and upper bound sieves. It seems that you are really suited to studying mathematics."

"Mathematics?"

Xu Qingshan shrugged, took a sip of his iced lemon tea, and stirred the Little Bear Ice.

"Maybe I am suitable for academics, whether it is mathematics, computer science, or physics."

Xu Qingshan's words made Jiang Yuhua's eyelids twitch wildly.

I'm praising you and you're out of breath?
Forget it. Based on Xu Qingshan's current mastery of the basics of number theory and understanding of sieving methods, Jiang Yuhua felt that this kid was just pretending to be strong out of sheer strength.

Jiang Yuhua felt that she had no reason to criticize him.

But now that she had spoken, how could Xu Qingshan just leave this PhD in mathematics here unused?

"Sister, Huanxi is still thinking, how about we talk about the idea first?"

Xu Qingshan took the initiative.

Jiang Yuhua raised her eyebrows, feeling a little uneasy.

Her ability in number theory is okay, but she can't be said to be an expert. If she were to sit down and discuss with Xu Qingshan, she felt that she might not be able to beat Xu Qingshan.

Especially since she had just seen Xu Qingshan showing off his power in front of everyone, Jiang Yuhua felt a little stressed.

What the hell?
A kid who just graduated from high school actually makes me feel stressed?
"Row."

Jiang Yuhua uttered a word from between clenched teeth.

"Sister, have you read Professor Zellberg's 'A Supplementary Study of Topology to Sieve Theory' published 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 was concentrating on talking to Xu Qingshan.

It was obvious that Xu Qingshan's grasp of number theory was far more powerful than she had imagined, and he only took a dozen minutes to answer.

All the dishes on Jiang Yuhua's table were served, but cold sweat was pouring down her forehead.

"Well, so this is my current train of thought."

Xu Qingshan finally stopped.

This made Jiang Yuhua breathe a sigh of relief.

"Do you have anything to add? Or any suggestions for me?"

Xu Qingshan looked at Jiang Yuhua seriously.

"Haha. Nothing to add. Good idea, good method. Keep it up."

Jiang Yuhua answered subconsciously.

She really has nothing to add!

Mathematics is generally divided into three states.

One is what you can understand, one is what you can slowly understand by watching and learning, and the other is what you just can't understand.

It is said that people can do anything when they are in crisis.

But you can't do math, no matter how desperate you are.

If you can’t do the math, 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.

Jiang Yuhua was very sure that the young man in front of him was one of the minority.

For her, becoming a student and Ph.D. student at Princeton was the best she could do. For her academic career, her study experience at Princeton and the in-depth research on academic topics with her supervisor were the most glorious moments in her academic career.

But Xu Qingshan is different.

People like him are born into the minority.

If he had gone to Princeton, he would have been a member of the Princeton Academic Hall.

There seems to be little difference between them, but in fact there is a world of difference between them.

Although Xu Qingshan has not yet proposed a complete proof of the twin prime conjecture, he has not even completed the proof of the weak twin prime conjecture.

But the extent of his talent has already revealed the tip of the iceberg in front of Jiang Yuhua.

Jiang Yuhua didn't forget.

The young man in front of you is also a young expert in machine learning in the computer field.

This was the first time that she most intuitively believed that Ramanujan's "theory of divine knowledge" was real, because other than being born with knowledge, she found it difficult to find any other reason to explain the strength of the young man in front of her.

"Okay, thank you for your hard work today."

Xu Qingshan sighed with regret.

Jiang Yuhua's fists stiffened.

It’s useful to call her sister, but it’s useless to call her aunt, right?

Okay, okay, you kid.

“I think I can understand this idea.”

Jiang Huanxi, who was concentrating on sorting out his thoughts, exclaimed. Xu Qingshan came over and the two young men began to discuss again.

It was mainly Xu Qingshan who was guiding Jiang Huanxi.

He always implements his Feynman learning method. While explaining, he also constantly simplifies and clarifies his ideas in an attempt to gain more inspiration.

In fact, he had grasped some points in the question and answer session with Jiang Yuhua just now, but they were 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 needs a more solid mathematical foundation.

Xu Qingshan is not in a hurry about this.

"That's all for today. If you say more, your little head will burn."

Xu Qingshan smiled as he looked at Jiang Huanxi who was in a stagnant state.

"We still have our aunt here. If you don't know the answer, just ask her. We don't need to rush into this issue right now. I think we will focus on solving this problem when we go to school."

Xu Qingshan rubbed Jiang Huanxi's little head.

Jiang Yuhua, who was standing by, was stunned.

Forget it.

This kind of genius.

Huanxi is well under his control, and it seems that Xu Qingshan intends to bring his own little Huanxi directly into this project.

Jiang Yuhua was so envious that her teeth were itching.

Why wasn’t there a handsome guy like Xu Qingshan to guide me when I was studying?

"Eat something. You've been using your brain for too long and you're probably going to get hungry."

Xu Qingshan waved and ordered some snacks.

Looking at Jiang Huanxi, who already had a confused look on her face, she smiled dotingly.

The draft was given to Jiang Huanxi to take back and study carefully. After dinner and tea, Jiang Yuhua took Jiang Huanxi back to continue digesting it. Xu Qingshan himself returned to the rented house with Jiang Yuhua's recognition and Jiang Huanxi's admiration.

He is a busy man.

I will accompany Jiang Huanxi to talk about number theory during the day, and will accompany Tong Tong to talk about the International Mathematical Olympiad in the evening.

(End of this chapter)