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arXiv · 2003.00581

On Salem's Integral Equation and related criteria

Alexander E Patkowski
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Abstract

We extend Salem's Integral equation to the non-homogenous form, and offer the associated criteria for the Riemann Hypothesis. Explicit solutions for the non-homogenous case are given, which in turn give further insight into Salem's criteria for the RH. As a conclusion, we show these results follow from a corollary relating the uniqueness of solutions of the non-homogenous form with Wiener's theorem.

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Alexander E Patkowski. 2020-03-01. On Salem's Integral Equation and related criteria. https://doi.org/10.21099/tkbjm/20234702207

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