Euler-Hurwitz series and non-linear Euler sums
Classical Analysis and ODEs
2008-03-11 v1 Number Theory
Abstract
In this paper we derive two expressions for the Hurwitz zeta function involving the complete Bell polynomials in the restricted case where q is a positive integer greater than 1. The arguments of the complete Bell polynomials comprise the generalised harmonic number functions. These in turn give rise to Euler-Hurwitz series which may then be used to determine identities for combinations of both linear and non-linear Euler sums.
Cite
@article{arxiv.0803.1304,
title = {Euler-Hurwitz series and non-linear Euler sums},
author = {Donal F. Connon},
journal= {arXiv preprint arXiv:0803.1304},
year = {2008}
}