Chapter 175: Why Not Come Back_3
Never explored the issue of allergies.
When Zhang Shuwen first went abroad, he found it pretentious how people around him treated allergies like a dangerous beast. After all, with Zhang Shuwen's understanding back then, except for drug allergies which were dangerous, he really didn't think allergies to things in daily life were a big deal.
But after truly witnessing someone nearby go into anaphylactic shock from an allergy to some exotic pollen and get rushed to the ICU, he realized it wasn't pretentious; it was due to their physical constitution.
Who the hell would have thought they had no symptoms of pollen allergies normally, but just because they encountered a flower they'd never seen before, which they found beautiful and sniffed a few times, they would go into shock within minutes...
Since that time, Zhang Shuwen has shown respect and best wishes towards the word 'allergy', but never discussed it.
Even if he were truly allergic to coffee, Zhang Shuwen felt it was at least better than alcohol. He couldn't help it; alcohol gave him a headache as soon as it touched his lips.
So the two of them didn't go out to a small bar; they simply chatted in the professor's lounge. After all, there was a coffee machine there.
After all, in this country, professors varied. Unless they were the sort of big-shot figures, the standard treatment for professors wasn't high, so they saved where they could.
"Zhang, you know, my advisor Paul has been working on research regarding the Selberg Conjecture. Well, actually I'm interested in this problem too, but there isn't a good solution yet. So do you think that... hmm, Qiao Yu's method could solve this problem?"
After making the coffee, Peter Sanak proactively asked.
The Selberg Conjecture can be considered a special case of the generalized Riemann Conjecture. Its mathematical expression is that all non-trivial zero points of autonomous L-functions in the critical strip 0<Re(s)<1 lie on the critical line Re(s)=1/2.
Since this conjecture covers all autonomous form L-functions, including the Riemann Zeta Function and Dirichlet L-functions, it is also a subset of the generalized Riemann Conjecture.
In mathematics history, some people have always liked to propose bizarre yet significant questions.
The Selberg Conjecture is undoubtedly one of them. Although it's not as famous as the Riemann Conjecture, its significance is profound.
For example, it has inspired research on modular forms, autonomous forms, and spectral theory, and is even crucial to the Langlands Program.
Of course, precisely because of this, the Selberg Conjecture relies on higher-level tools, making it a high research threshold, so there are relatively fewer researchers. Plus, its history isn't as long as the Riemann Conjecture, so it's naturally less well-known.
Zhang Shuwen shrugged and replied: "How should I answer you on this question? Okay, Peter, theoretically, I can certainly answer you, yes!
But as for how to specifically operate, I currently have no clue. I believe before you asked this question, you should have already read the relevant literature! Even though there are many related papers now, most of the understanding is still shallow.
We are actually the same. Qiao Yu's set of theories is still at a stage that needs to be enriched. As I said in my class, there are still many articles to be done for this axiom system."
Peter Sanak laughed and said, "See, that's exactly why I came to chat with you. I went to see Professor Dugen this morning, hoping he could give me an introduction.
I think we could collaborate with Qiao Yu on this proposition. You know the significance of this topic. But Professor Dugen said maybe I could talk to you."
Zhang Shuwen was taken aback, then looked at Peter Sanak in confusion and asked: "You could send an email directly to Qiao Yu, I think if he's interested, he might respond to you? I've met that kid, he's still very polite."
Peter Sanak spread his hands and said self-deprecatingly: "Maybe I'm not very well-known. I wrote him three emails, all of which were auto-responses. I suspect he doesn't have the habit of checking his email."
Zhang Shuwen really didn't know this situation. Recently, he hadn't contacted Qiao Yu either.
He planned to go to Huaqing in March, and then discuss with Qiao Yu about how the generalized modal system could better integrate into the number theory system.
"I see, I'll ask him for you. Of course, I'm not sure if he's interested in this proposition. I heard he's been pretty busy recently, with at least two collaborative research projects on hand."
Zhang Shuwen thought for a moment and agreed.
"Thank you, Zhang! By the way, tell Qiao Yu for me that I'm very interested in his theory. If he agrees, I can share all the current research data with him.
You know, despite the distance to the ultimate resolution of the Selberg Conjecture, we have still made some groundbreaking work.
For example, we have verified several special cases of zero-point distribution in some specific types of autonomous form L-functions, and the analogous study of zero-point distribution in random matrix theory.
Especially the Berry-Keating model, in short, I believe this portion of preliminary work should provide some assistance for mapping in modal space," Peter Sanak said confidently.
Zhang Shuwen nodded.
"By the way, tell him, if his method can really assist us in solving this problem, we could co-author."
Peter Sanak added.
There's no other way.
Just like many unsolved mathematical problems, the reason they can't be effectively solved is mostly because the existing mathematical tools simply cannot explore the truth.