Related papers: Riemann zeros and the KKR determinant

Riemann zeros and the KKR determinant

URL: http://arxiv.org/abs/2504.07928v1
Date: Thu, 10 Apr 2025 17:43:43 GMT
Title: Riemann zeros and the KKR determinant
Authors: Zongrui Pei,
Abstract summary: We transform the counting function for the Riemann zeros into a Korringa-Kohn-Rostoker determinant, assisted by Krein's theorem.<n>This is based on our observation that the function derived from a few methods can all be recast into two terms.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

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