Riemann zeros and the KKR determinant

Zongrui Pei

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arXiv · 2504.07928

Riemann zeros and the KKR determinant

Zongrui Pei

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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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Zongrui Pei. 2025-04-10. Riemann zeros and the KKR determinant. https://arxiv.org/abs/2504.07928

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