Riemann zeros and the KKR determinant
Riemann zeros and the KKR determinant
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.
Zongrui Pei
数学物理学
Zongrui Pei.Riemann zeros and the KKR determinant[EB/OL].(2025-04-10)[2025-04-29].https://arxiv.org/abs/2504.07928.点此复制
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