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arXiv · 2303.02520

Modified Bessel Functions in Analytic Number Theory

Bruce C. Berndt·Atul Dixit·Rajat Gupta·Alexandru Zaharescu
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Abstract

The modified Bessel functions $K_{\nu}(z)$, or, for brevity, K-Bessel functions, arise at key places in analytic number theory. In particular, they appear in beautiful arithmetic identities. A survey of these arithmetical identities and their appearances in number theory is provided.

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Bruce C. Berndt, Atul Dixit, Rajat Gupta, Alexandru Zaharescu. 2023-03-04. Modified Bessel Functions in Analytic Number Theory. https://arxiv.org/abs/2303.02520

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