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arXiv · 0803.1304

Euler-Hurwitz series and non-linear Euler sums

Donal F. Connon
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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.

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Donal F. Connon. 2008-03-09. Euler-Hurwitz series and non-linear Euler sums. https://arxiv.org/abs/0803.1304

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