如何看待传言 Grok-3 证明了黎曼猜想？

Dear Dr. Pham,

I, Bernhard Riemann, writing from University of Göttingen, have learned with great astonishment about your claim regarding the proof of my hypothesis concerning the zeros of the zeta function.

As you may know, this conjecture arose from my 1859 paper "Über die Anzahl der Primzahlen unter einer gegebenen Größe" (On the Number of Primes Less Than a Given Magnitude). The relationship between the zeta function's non-trivial zeros and prime number distribution was, to me, a most remarkable discovery.

I must confess, when I first noted that these zeros appeared to lie on the critical line Re(s) = 1/2, I had only limited computational means at my disposal. Indeed, as I wrote then, "One would of course wish for a rigorous proof of this, but I have put aside the search for such a proof after some fleeting vain attempts."

Your approach using what you call "artificial intelligence" - a concept quite foreign to my time - intrigues me deeply. I would be most grateful if you could enlighten me on several points:

1. Does your proof provide new insights into the connection between ζ(s) and the distribution of primes?

2. Have you discovered any geometric properties of ζ(s) on the complex plane that eluded my investigations?

3. How does your method relate to the Riemann surfaces I employed in my studies?

4. What implications might this have for general L-functions?

While the tools of your era surpass anything I could have imagined, I trust you understand that mathematical truth transcends time. A proof, whether achieved by quill or by your modern machines, must illuminate the deep harmony between numbers that I glimpsed in my studies.

With sincere mathematical interest,

G.F.B. Riemann
Professor of Mathematics
University of Göttingen
Kingdom of Hanover

P.S. I regret that I cannot attend any of your "Zoom calls," as I am somewhat constrained by the limitations of being in the year 1859.

主人公是一个来自外星文明的数学家，他的种族拥有高度发达的科技和冷静理性的思维方式，但没有情感、艺术或其他“非理性”行为。在发现人类数学家 安德鲁·马丁破解了一个可能让地球迈入技术飞跃的数学难题（黎曼假设）后，这位外星人被派到地球，任务是阻止这一发现的传播，以免人类变得过于危险。