论文标题

关于塞勒姆的积分方程和相关标准

On Salem's Integral Equation and related criteria

论文作者

Patkowski, Alexander E

论文摘要

我们将塞勒姆的积分方程扩展到非遗传形式,并为Riemann假设提供相关的标准。给出了非殖民案例的明确解决方案,这反过来又可以进一步了解塞勒姆的RH标准。总而言之,我们表明了这些结果,源于推论,该推论将非殖民形式的溶液与维纳定理的溶液独特。

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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