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.
Citation
Alexander E. Patkowski. "ON SALEM’S INTEGRAL EQUATION AND RELATED CRITERIA." Tsukuba J. Math. 47 (2) 207 - 213, December 2023. https://doi.org/10.21099/tkbjm/20234702207
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