Euler-Hurwitz series and non-linear Euler sums

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dc.creatorConnon, Donal F.
dc.date2008-03-09
dc.date.accessioned2026-07-07T09:25:53Z
dc.date.available2026-07-07T09:25:53Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/0803.1304
dc.identifierhttp://arxiv.org/abs/0803.1304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156562
dc.subjectClassical Analysis and ODEs
dc.subjectNumber Theory
dc.subject11M35
dc.titleEuler-Hurwitz series and non-linear Euler sums
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