关于萨利姆积分方程及相关标准

Pub Date : 2020-03-01 DOI:10.21099/tkbjm/20234702207

A. Patkowski

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引用次数: 1

摘要

我们将萨勒姆积分方程扩展到非同质形式，并提供了黎曼假说的相关标准。我们给出了非同质情况下的显式解，这反过来又进一步揭示了萨勒姆的黎曼假设标准。作为结论，我们证明了这些结果源于与非同质形式解的唯一性和维纳定理相关的推论。

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ON SALEM’S INTEGRAL EQUATION AND RELATED CRITERIA

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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