Quasicrystal Scattering and the Riemann Zeta Function

• URL: http://arxiv.org/abs/2410.03673v5
• Date: Thu, 28 Aug 2025 16:22:27 GMT
• Title: Quasicrystal Scattering and the Riemann Zeta Function
• Authors: Michael Shaughnessy,
• Abstract summary: I carry out numerical scattering calculations against a family of finite-length one-dimensional point-like arrangements of atoms, $chi(x)$, related to the distribution of prime numbers by a shift operation making the atomic density approximately constant.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: I carry out numerical scattering calculations against a family of finite-length one-dimensional point-like arrangements of atoms, $\chi(x)$, related to the distribution of prime numbers by a shift operation making the atomic density approximately constant. I show how the Riemann Zeta Function (RZF) naturally parameterizes the analytic structure of the scattering amplitude and give numerical results.

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