By the ti 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 mont, 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 pri numbers. Then we prove that for any given even number e, we can use G(e) to find two pri 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 n looked up at her.
"Su is back."
"Yes, Uncle Li, have you eaten? Would you like to join for so 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 sothing later."
"Okay." Qiao Ze answered, stood up, and followed Su Mucheng into the conference room where they held group etings.
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 al as usual.
Outside, there was the occasional sound of arguntation, which seed sowhat 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 pri numbers."
"Is this your understanding?"
"Qiao Ze just explained that."
"No, I'm asking about your understanding."
"? I haven't studied Qiao Algebra or the superspiral structure."
"So, according to this solution, wouldn't it an that by pairing this S function with the polynomial, we can find the distribution pattern of pri numbers?"
"Yes, that's what Qiao Ze ans. By using the S function to construct a graph, ensuring that pri 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-pri natural numbers."
"So, by that logic, we've found the pattern of distribution for pri numbers. Does that an 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 pri 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 pri 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 al. 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 imdiately asked.
She had been holding back for a long ti.
When she overheard Xu Dajiang ntion 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 pri numbers has a direct correspondence to the transcendent geotric structure of the zeros of Riemann's ζ function, that is, if the superspiral pattern of pri 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 pri number distribution and the geotric structure of the zeros of the Riemann ζ function. Proving it would an 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 ti 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 ti for verification. After all, number theory is not really my forte," Qiao Ze said candidly.
Reviews
All reviews (0)