English

Modified Bessel Functions in Analytic Number Theory

Number Theory 2023-03-07 v1 Classical Analysis and ODEs

Abstract

The modified Bessel functions Kν(z)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.

Keywords

Cite

@article{arxiv.2303.02520,
  title  = {Modified Bessel Functions in Analytic Number Theory},
  author = {Bruce C. Berndt and Atul Dixit and Rajat Gupta and Alexandru Zaharescu},
  journal= {arXiv preprint arXiv:2303.02520},
  year   = {2023}
}

Comments

It's a survey article written in Memory of Richard A. Askey

R2 v1 2026-06-28T09:01:37.788Z