Super God-Level Top Student-Chapter 757 - 289: The Fear of Being Too Honest

By the time Su Mucheng had ordered her food, waiting for the cafeteria's chef to specially cook and pack it, she returned to the office and saw that Li Jiangao had already arrived. Xu, probably being farther away, had not arrived yet.

At this moment, Li Jiangao was sitting next to Qiao Ze, listening to Qiao Ze's explanation.

"...The overall approach is like this, we first prove the validity of S(n) and P(x), ensuring these two tools can accurately describe and generate prime numbers. Then we prove that for any given even number e, we can use G(e) to find two prime numbers P(x) and P(y) whose sum equals e, and that completes the entire proof."

Su Mucheng, upon hearing Qiao Ze's words, suddenly thought of a joke she had seen online: how many steps does it take to put an elephant into a refrigerator?

She felt like laughing, but luckily she managed to hold it in.

Because when she pushed the door open, both men looked up at her.

"Su is back."

"Yes, Uncle Li, have you eaten? Would you like to join me for some food?"

"Oh, I have eaten in the cafeteria. Uh, Qiao Ze, you go ahead and eat. I'll take a look at the paper by myself for now, and I'll ask you if I don't understand something later."

"Okay." Qiao Ze answered, stood up, and followed Su Mucheng into the conference room where they held group meetings.

Just as Su Mucheng had finished dividing the food and rice, she heard a knock on the door, followed by Xu Dajiang's voice coming in.

"Eh, Jian Gao, you're here too? Where is Professor Qiao?"

"Qiao Ze is inside eating."

"Oh, then I won't disturb him. Are you reading a paper, right? How is it going, is it proved?"

"Well... why don't you take a look at it too, I'll first outline Qiao Ze's conception to you..."

After hearing this conversation, Su Mucheng gave Qiao Ze a sweet smile and said, "Qiao, eat first. Xu will definitely turn into a curious baby later, and it's better to handle him on a full stomach."

Qiao Ze nodded and began his meal as usual.

Outside, there was the occasional sound of argumentation, which seemed somewhat childish.

"...Why do we need to introduce imaginary numbers here?"

"This is the complex plane. By using the imaginary unit, we ascribe angles between points, that is θ(n), which vary with n, to determine their positions. Log(n) ensures that the points spread outward as n increases, which is consistent with the distribution of prime numbers."

"Is this your understanding?"

"Qiao Ze just explained that."

"No, I'm asking about your understanding."

"Me? I haven't studied Qiao Algebra or the superspiral structure."

"So, according to this solution, wouldn't it mean that by pairing this S function with the polynomial, we can find the distribution pattern of prime numbers?"

"Yes, that's what Qiao Ze means. By using the S function to construct a graph, ensuring that prime numbers always lie on this path, and then combining with the polynomial P(x) to determine the positions of all points, the imaginary part serves to make cuts, separating out the other non-prime natural numbers."

"So, by that logic, we've found the pattern of distribution for prime numbers. Does that mean it can also be applied to research on the ζ function? Could this toolkit also be used to prove the Riemann hypothesis?"

"Goldbach mainly focuses on the additive relationship of prime numbers, the Riemann hypothesis discusses whether all non-trivial zeros of the ζ function have real parts equal to 1/2... but if you put it that way, it's definitely helpful. Mathematics is interconnected."

"That's what I'm saying, Qiao Ze also has a chance to prove the Riemann hypothesis. Maybe even Hilbert's twenty-three problems... Could it be a package deal?"

"You'll have to ask Qiao Ze about that, but let's not get ahead of ourselves."

"Alright, then do you think we can rely on these to construct a mathematical model describing prime numbers?"

"You should ask Qiao Ze..."

"I think it should be possible, just needing to transform it into a number line, find the distribution pattern... Dou Dou should be capable enough, right?"

"Oh my, Old Xu, you're overestimating Dou Dou. Dou Dou doesn't know a damn thing about mathematics. Researching mathematics is my dad's job. He has to write the algorithm first, and only then can I build a model based on it. That's called strong collaboration, division of labor."

...

Su Mucheng's eyes widened as she looked at Qiao Ze, who was quietly eating his meal. Only when Qiao Ze swallowed the last bite did she anxiously ask, "Qiao, you heard what Xu said just now, right?"

"Hmm." Qiao Ze nodded.

"So, can you prove the Riemann hypothesis too?" Su Mucheng immediately asked.

She had been holding back for a long time.

When she overheard Xu Dajiang mention it earlier, she couldn't wait any longer to get an answer.

Instead of answering directly, Qiao Ze sat there in thought and then casually wrote down two equations with used chopsticks on the table.

f(n)=αn+βlog(n)

\\[ Z(s)= H(s)\\cdot \\ζ(s)\\]

He then shook his head and took a napkin to wipe the freshly written formulas right off the table.

"There's a possibility, for instance, if we could prove that the superspiral pattern of prime numbers has a direct correspondence to the transcendent geometric structure of the zeros of Riemann's ζ function, that is, if the superspiral pattern of prime numbers could be directly mapped onto the non-trivial zeros of Riemann's ζ(s).

But this is based on a hypothesis, which is that there exists a profound mathematical connection between the superspiral pattern of prime number distribution and the geometric structure of the zeros of the Riemann ζ function. Proving it would mean that there's a deeper level of unity between number theory and complex analysis.

But it's just a hypothesis, and proving it would still require dedicated time for contemplation. Moreover, I first have to be sure that my proof for Goldbach's conjecture is correct. Although I currently see no logical issues, it still requires time for verification. After all, number theory is not really my forte," Qiao Ze said candidly.