Riemann zeros and the KKR determinant
Quantum Physics
2025-04-11 v1
Abstract
We transform the counting function for the Riemann zeros into a Korringa-Kohn-Rostoker (KKR) determinant, assisted by Krein's theorem. This is based on our observation that the function derived from a few methods can all be recast into two terms: one corresponds to the scattering phase, and the other is similar to structure constants related to the Green function. We also discuss the possible physical realizations. Our method provides a new physical pathway towards the solution of the Riemann hypothesis.
Cite
@article{arxiv.2504.07928,
title = {Riemann zeros and the KKR determinant},
author = {Zongrui Pei},
journal= {arXiv preprint arXiv:2504.07928},
year = {2025}
}
Comments
6 pages, 1 figure