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arXiv · 2303.16423

On a Bessel function series related to the Riemann xi function

Alexander E. Patkowski
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Abstract

We establish new Fourier integral evaluations involving the Riemann xi function related to a series involving Bessel function of the first kind. We show this infinite series involving the Bessel function of the first kind solves a boundary value problem for the cylindrical heat equation.

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Alexander E. Patkowski. 2023-03-29. On a Bessel function series related to the Riemann xi function. https://arxiv.org/abs/2303.16423

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