English

Hurwitz-Lerch type central binomial series

Number Theory 2024-09-25 v1

Abstract

The central binomial series is a subject that has been extensively studied, for example in the context of the irrationality of Riemann zeta values. In this paper, the Hurwitz version of the central binomial series is defined by adding one real parameter, and its values at integer points are studied.

Keywords

Cite

@article{arxiv.2409.16026,
  title  = {Hurwitz-Lerch type central binomial series},
  author = {Karin Ikeda and Yuta Kadono},
  journal= {arXiv preprint arXiv:2409.16026},
  year   = {2024}
}

Comments

11 pages, 2 tables, the author's home page:https://sites.google.com/view/sealmath, https://sites.google.com/view/mzvyutahgf

R2 v1 2026-06-28T18:55:14.786Z