Integral representations for $\zeta(3)$ with the inverse sine function
Number Theory
2021-08-04 v1
Abstract
We show four new integral representations for as a reformulation of Ewell (1990) and Yue-Williams (1993) with the inverse sine function and Wallis integral. As a consequence, we also show a local integral representation for the trilogarithm function.
Cite
@article{arxiv.2108.01247,
title = {Integral representations for $\zeta(3)$ with the inverse sine function},
author = {Masato Kobayashi},
journal= {arXiv preprint arXiv:2108.01247},
year = {2021}
}
Comments
9 pages