Modified Bessel functions in analytic number theory

Zaharescu, Alexandru

Modified Bessel functions in analytic number theory

Source

arXiv

Date Issued

2023-03-01

Author(s)

Berndt, Bruce C.

Dixit, Atul

Gupta, Rajat

Zaharescu, Alexandru

Abstract

The modified Bessel functions K?(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.

URI

https://arxiv.org/abs/2303.02520

https://d8.irins.org/handle/IITG2025/20125

Subjects

Bessel function

K-Bessel

Number theory

Arithmetic identities

Analytic number theory