Series representations for the logarithm of the Glaisher-Kinkelin constant
Number Theory
2023-04-18 v1
Abstract
In this note, we propose two series expansions of the logarithm of the Glaisher-Kinkelin constant. The relations are obtained using expressions of derivatives of the Riemann zeta function, and one of them involves hypergeometric functions.
Keywords
Cite
@article{arxiv.2304.07629,
title = {Series representations for the logarithm of the Glaisher-Kinkelin constant},
author = {Jean-Christophe Pain},
journal= {arXiv preprint arXiv:2304.07629},
year = {2023}
}