The top student must be diligent.

Chapter 146 Zhang Yitang's Request for Help
Time passed quietly.

In the following days, Xiao Yi stayed in the Entrepreneurship Center to conduct research.

As for things like attending classes, of course that doesn't exist.

The college certainly wouldn't say anything. To some extent, they even hoped that Xiao Yi would never come to class.

If Xiao Yi doesn't come to class, it means he is studying something more important.

Maybe if he really figures it out, they can get a new batch of posters in their school?
Just like that, a month passed.

……

At 11 o'clock in the evening, Xiao Yi raised his head, stood up from his seat, turned left three times, turned right three times, twisted his neck and buttocks.

After stretching his body, he checked the time.

Well, another day has passed.

But...

He smiled.

Spread out several sheets of draft paper on the table one by one.

The theoretical model for absolute electronicity calculation has been basically completed.

All that remains is to use machine learning to feed the model with a variety of experimental data, so that it can then optimize the prediction of electron trajectories in different situations.

As for where these experimental data came from, there was no need to worry. Luo Mingya had promised him that she would provide him with a large amount of experimental data, so he had contacted Luo Mingya today and asked her for quite a lot of data.

Of course, in addition to these data, he can also search for large amounts of data on the Internet to feed the model.

But before that, he first had to write the model onto the computer.

"Start writing tomorrow. Go back home tonight."

Thinking of this, he tidied up the room and left.

Soon, after returning to the dormitory, he opened the door and said, "Children, your emperor is back."

However, what caught him off guard was that as soon as he closed the door and turned around, he found himself surrounded by Ye Cheng and three others.

He leaned back and said warily, "What do you three want to do? Are you rebelling?"

Ye Chen put one foot on his chair, then held the clothesline with one hand and put it on his shoulder, pointed at Xiao Yi with the other hand and said, "Go! Capture this beast for me!"

Song Ziyang and Luo Qiao rushed forward immediately and held Xiao Yi on the left and right.

"Rebellion, real rebellion!"

Xiao Yi widened his eyes and looked at the three guys, "Who gave you the courage!"

"Humph! Be quiet!" Ye Cheng picked up his metal pencil case and slammed it on the table like a gavel, saying, "How dare you, Xiao Yi, as a member of dormitory 313, do something that violates the dormitory harmony law and hurts the feelings of your roommates in broad daylight. Do you know your crime?!"

"How can you slander someone's innocence out of thin air?" Xiao Yi protested with his eyes wide open.

"Humph! You're still being stubborn!" Ye Cheng waved the clothesline in his hand and said, "Someone, show me the evidence!"

Luo Qiao next to him immediately took out his cell phone and handed it to Ye Cheng.

Then Ye Cheng clicked on it a few times and showed it to Xiao Yi.

"Look! Is that you?"

Xiao Yi took a look and was stunned.

There was only a photo on the screen, and in the photo, he and Luo Mingya were eating and chatting about something.

Isn’t this the photo of him asking Luo Mingya for experimental data this afternoon?
Gan!
When did these guys take the photos secretly?

"Hmph, you have nothing to say, right?" Ye Cheng slapped his pencil case again and said, "According to the first rule of the dormitory law, the one who gets rid of being single first needs to call each of the other roommates "Dad!"

"Bold Xiao Yi, are you dissatisfied?"

Xiao Yi rolled his eyes, then said to Luo Qiao and Song Ziyang beside him: "Help me take down this kid Ye Cheng, and I'll treat you to dinner later."

Ye Cheng's eyes widened immediately: "How dare he! He actually bribed in public, this is outrageous! Song Ziyang! Luo Qiao! Hurry up and punish him!"

However, Song Ziyang and Luo Qiao did not listen to him. Instead, their eyes lit up and they asked Xiao Yi, "Really?"

"Really?" Xiao Yi nodded his chin: "And there are many restaurants near the school for you to choose from."

Luo Qiao and Song Ziyang immediately let go of Xiao Yi and turned to walk towards Ye Cheng: "I'm sorry, Cheng'er, he gave too much."

"You! Wealth and honor cannot corrupt you, and might and power cannot bend you! Even if you have money, you can't do whatever you want!"

Ye Cheng pointed at them in horror, but was taken down in a few moves.

Xiao Yi twisted his arms, clenched his fists, and then walked up to Ye Cheng with a grin: "Sorry, sir, if you have money you can do whatever you want."

Then he suddenly grabbed Ye Cheng's waist and started scratching it hard.

Ye Cheng immediately struggled, "Ahahahaha no, ahhahaha..."

Only after the boy's expression was completely broken by the tickling did Xiao Yi let him go, shook his hands, snorted and said, "Little guy, you still dare to fight me? From today on, the first rule of the dormitory is that whoever treats everyone to a meal is the boss."

After playing around, Ye Cheng took a long time to recover, but he still asked: "But, Brother Xiao, we still want to know who the girl next to you is." "You are not really single, are you? We are studying mathematics, and wise men don't fall in love, understand?"

Xiao Yi rolled his eyes and said, "Go away, stop talking nonsense here. She is a PhD student from the School of Materials Science and I have a collaboration on a project in her lab. We are having dinner here just to talk about the project. You took photos here secretly and didn't tell me. You are hiding it, right?"

After hearing Xiao Yi's explanation, the three of them immediately breathed a sigh of relief.

Ye Cheng patted his chest and said, "Oh! You should have said it earlier. I was really scared. It turns out it's just a project collaboration. I almost thought you were really single."

Song Ziyang also let out a long sigh: "That's right, how can we find a girlfriend in the mathematics department? There is not a single girl in our class B. The guys in the next door dormitory keep calling each other darling all the time, which makes me homophobic."

Luo Qiao nodded repeatedly: "Indeed, Brother Xiao, you don't know, when I was secretly taking photos today, I saw that girl. Although she didn't dress up, her bare face was better than any of the few girls in our college. At that time, I thought you deserved to die."

Xiao Yi: “…”

Why do the reactions of these three people seem more annoying than the others?

At this moment, his cell phone suddenly rang.

I was stunned. Who would call me so late?
As soon as he took out his cell phone, he realized what was going on.
The person who called him was Zhang Yitang. Today, he seemed to be giving a report on the Landau-Siegel zero point conjecture at Princeton University.

It is now a little after eleven o'clock at night in China, which is eleven o'clock in the morning at Princeton University. This means that Zhang Yitang is giving a report at this moment.

He shook his head helplessly, it seemed that he still couldn't escape it.

He gestured to his three roommates and then answered the phone.

……

At the same time, in a lecture hall far away at Princeton University.

Zhang Yitang was holding a mobile phone in his hand, and said to the scholars below: "It should be 11 o'clock in the evening in China now. We can only hope that Xiao Yi is still awake."

The audience below all laughed and became excited at the same time.

Just now, Professor Manjul Bhargava of Princeton University raised a very critical question regarding the circle method mentioned by Zhang Yitang and Xiao Yi in their paper.

As for this question, Zhang Yitang didn't know how to answer. Just when everyone was worrying about how he would deal with this problem, he performed a shaking trick on the spot.

He actually called Xiao Yi directly and asked him to help.

Although they were somewhat caught off guard, they had to admit that this seemed to be a very effective measure.

And to their disappointment, the call was connected quickly.

Xiao Yi's voice came from inside: "Professor Zhang, let me guess, you have a problem?"

"I'm sorry to bother you." Zhang Yitang said helplessly, "You're right. I'm in the lecture hall of Princeton University right now. Professor Manjur Bhargava asked a very critical question about the Circle Method. Now I can't answer it."

Xiao Yi said: "Okay, let's start a video."

"Then trouble you."

Without any nonsense, they quickly started the video, and Xiao Yi's avatar appeared on the multimedia screen at the back.

Xiao Yi looked at the scene through the camera. There were probably a few hundred people.

Then he said, “Professor Manjul Bhargava, please explain your question again.”

"Ok."

Manjul Bhargava stood up from the first row and said with a smile: “In the circle method expansion, how do you deal with the high-order terms in the polynomial expansion? These high-order terms will cause serious error accumulation in traditional Fourier analysis, thus affecting the accuracy of the results.”

"Let me give you an example from your paper with Professor Zhang. On page 46, there is a formula of the form f(x)=∞∑_(n=∞)Cne^(inx). In this formula, when n is large, how do you control the error accumulation of the high-order term Cne^(inx)?"
Upon hearing this question, Xiao Yi raised his eyebrows. This was indeed a very crucial question. No wonder Zhang Yitang couldn't answer it.

The problem of higher-order terms exists in the traditional Fourier expansion, and his Shaw polynomial expansion, as a technique derived from the Fourier expansion, was therefore brought into the circle method expansion.

Professor Manjul Bhargava is the winner of the 2014 Fields Medal and has in-depth research on analytic number theory. It is no wonder that he was able to find this problem.

but……

Xiao Yi just smiled lightly.

"This is a good question, and of course, to solve it, we just need to use the adaptive weighting function in the sieve method to filter these high-order terms layer by layer."

"The specific operation... well, I'll trouble Professor Zhang to write it out for me."

"Of course no problem." Zhang Yitang walked to the blackboard, "Go ahead."

"Okay." Xiao Yi said, "We first transform the polynomial expansion to map f(x) to a new function g(x), where n(x) is a special basis function that can significantly reduce the impact of high-order terms."

【g(x)=∞∑n=∞dnn(x)】

"We then introduced an adaptive weighting function w(n) of the form: w(n)=1/(1+|n|^k), where k is a properly chosen positive number that controls the weight of higher-order terms."

"The next step is to combine the sieving method with the weighting technique. Through this transformation, we can control the error of the high-order terms within an acceptable range while ensuring that the main number theory information is preserved."

"That's it."

As Xiao Yi was speaking, Zhang Yitang wrote down these steps on the blackboard.

Manjur Bhargava looked at these steps and thought about Xiao Yi's explanation. After pondering for a long time, he finally nodded and clapped his hands, saying, "This is a very good solution. I have no problem with it."

(End of this chapter)