Top Student at Their Peak

There's no help for it; such people exist in all fields, and you just have to accept it! It's just that Qiao Yu is now shining brightly in the field of mathematics.

Thinking too much, Xue Song only felt a bit dizzy and planned to go out for a walk to clear his head.

Just as he walked into the courtyard of the research center, he happened to run into Tian Yanzhen coming in.

Xue Song quickly stopped in his tracks and greeted, "Professor Tian, good morning."

"Xiao Xue, what are you up to so early?" Tian Yanzhen asked.

"Oh, I was thinking about a problem last night and got dizzy. Early today, I discussed it with Qiao Yu and felt I gained some insight, so I plan to take a walk by the lake to see if I can clear up the issue," Xue Song replied.

Doing mathematics doesn't always have to be done in an office to count as work.

Often, when you're out of ideas, taking a walk might just bring inspiration. It's perfectly normal. As long as you're not skipping classes to take a stroll, naturally no one will mind.

"Oh, be sure to wear more clothes when you go out. It's cold outside," Tian Yanzhen reminded him.

Although it was already after the Spring Festival, it wasn't yet time for the heating to be turned off in the North, and even during the day, it was only a few degrees.

"No worries, I'm used to it."

Xue Song smiled in response, intending to leave, but then he impulsively added, "By the way, Qiao Yu should have already reported to you, right? He has some ideas for solving the Riemann Hypothesis."

As Tian Yanzhen was about to take a step forward, he stopped, looked at Xue Song, and asked, "What did you just say about Qiao Yu?"

Xue Song was dumbfounded for a moment. He remembered that Qiao Yu loved reporting his work to his supervisor. Attending a conference or gaining some insights, he would report it all. But from Tian Yanzhen's reaction, it seemed he hadn't mentioned it yet?

Since it was already spoken, there was no taking it back, so he smiled and said, "Maybe he wants to surprise you? He just mentioned it when I called him; he said he's been researching the Riemann Hypothesis lately."

"The Riemann Hypothesis? Are you sure that kid isn't joking?" Tian Yanzhen asked seriously.

Xue Song shook his head and replied, "Definitely not joking. After all, he said he already has a rough idea. However, he also mentioned that his method of proof seems a bit silly. But as for what method it is, I didn't feel it was appropriate to ask. He even estimated that he should be able to prove it within six months at the latest."

"Oh, I see." Tian Yanzhen nodded; his expression had returned to normal, but he asked again, "Is he doing research here now?"

"I just went to check, and he wasn't there. He's probably at Huaqing. After all, the holiday isn't over, so he definitely wants to stay with his mom. After all, he's still young." Xue Song explained on behalf of Qiao Yu.

"Oh, I see. Well then, I won't delay your walk any longer. Go ahead," said Tian Yanzhen.

After chatting, they parted ways.

After leaving the courtyard, Xue Song thought for a while and still took out his phone to send a WeChat message to Qiao Yu. Although Qiao Yu casually mentioned it to him and didn't specifically tell him to keep it a secret, Xue Song felt it was still necessary to inform Qiao Yu.

How to put it, although it's clear Qiao Yu is only sixteen, by reaching this level, everyone subconsciously no longer sees Qiao Yu as just a kid.

"Just ran into Professor Tian when I went out. Casually chatted with him about you researching the Riemann Hypothesis. I didn't realize you hadn't told Professor Tian yet, my apologies."

There wasn't an immediate reply on WeChat, but Xue Song didn't mind too much. Thinking about it, although Tian Yanzhen appeared normal, he would probably be tempted to call and confirm the news, right?

If he finds out his student is challenging this difficult problem and even has insights, he would certainly call to inquire and show concern immediately, as is human nature.

Wait, he doesn't seem to have a student like Qiao Yu. Thinking about it that way lightened the load.

Problematic students like this are tough to handle.

...

Xue Song's guess wasn't wrong.

Immediately after parting, as soon as Tian Yanzhen walked into Building 1, where his office was, he took out his phone and called Qiao Yu.

The words he said were almost the same as the message he sent.

"Qiao Yu, just ran into Professor Xue when I came to the office. He said you are researching the Riemann Hypothesis?"

"Eh? Professor Xue mentioned that to you? I was planning to report to you about it after I completed the first step."

"What do you mean by completing the first step?"

"It means confirming that my idea is correct. First, I need to prove that the zero point problem of the ζ-function can be mapped modally and then present a complete proof process."

"Didn't you say you were still lacking tools before?" Tian Yanzhen asked, frowning.

"Well, this is quite a coincidence. Previously, when I was doing modal modeling for orbital disturbances at the Aerospace Institute, I found that the normalized relations matched the ζ-function very closely.

Therefore, to prove that if it can be demonstrated that the distribution conditions of the former under the definition of the ζ-function lead to integrals having the same analytic structure and convergence properties as the ζ-function, you have proven the existence of consistency.

Although one is a continuous integral, while the other is a discrete summation, you only need to use the Poisson summation formula or Mellin transform to establish an equivalent relationship between the continuous integral and discrete summation.

I'm still considering which mathematical tool would be simpler to use for the proof. As long as we can achieve this step, since aerospace data can be handled, the Riemann function can naturally be dealt with too.

Once the modal mapping is completed, the rest is simple. Modal paths, constructing modal convolution to verify distribution, and even using energy function tools from modal theory can be applied. The proof naturally becomes easy...

"Okay, stop there. Did Professor Xue say you could achieve results within half a year—is that true?" Tian Yanzhen directly interrupted Qiao Yu; he really wasn't interested in listening further.

Now, whatever comes out of Qiao Yu's mouth, it sounds like everything is simple. But really getting down to it, you'll find out the difficulty.

Over the New Year period, Liu Zhao Yuan from the Computing Institute mentioned twice to him not to forget to arrange for Qiao Yu to give their team a lecture.

The things that seem simple and obvious coming from Qiao Yu's mouth still have the research team full of questions.

"Well... actually, everything with Professor Xue was just boasting. Honestly speaking to you, a year, at most a year, I should be able to solve this problem."

"Boasting? So who were you being honest with, with Professor Xue or with me?"

"Of course, I'm telling you the truth! If it can be done earlier, it's definitely because you taught well and I've made progress without even realizing!"

On the other side, Qiao Yu's tone sounded firm and not a bit hesitant.