Evaluation of some simple Euler-type series
Number Theory
2016-10-10 v1 Classical Analysis and ODEs
Abstract
Five series are evaluated in terms of zeta values. Three of the series involve harmonic numbers and one involves Stirling numbers of the first kind. The evaluation of these series is reduced to the evaluation of certain integrals, including the moments of the polylogarithm.
Cite
@article{arxiv.0912.3227,
title = {Evaluation of some simple Euler-type series},
author = {Khristo N. Boyadzhiev},
journal= {arXiv preprint arXiv:0912.3227},
year = {2016}
}