On the Taylor Coefficients of the Hurwitz Zeta Function

Simple item page
dc.creatorBoyadzhiev, Khristo
dc.date2008-12-06
dc.date.accessioned2026-07-07T12:10:03Z
dc.date.available2026-07-07T12:10:03Z
dc.descriptionWe find a representation for the Maclaurin coefficients of the Hurwitz zeta-function in terms of semi-convergent series involving the Bernoulli polynomials and the Stirling numbers of the first kind. In particular, this gives a representation for the coefficients of the Riemann zeta function. Our main instrument is a certain series transformation formula. A similar result is proved also for the Maclaurin coefficients of the Lerch zeta function.
dc.description9 pages. To appear in the JP Journal of Algebra, Number Theory and Applications
dc.identifierhttps://arxiv.org/abs/0812.1303
dc.identifierhttp://arxiv.org/abs/0812.1303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209829
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11M35, 33A70
dc.titleOn the Taylor Coefficients of the Hurwitz Zeta Function
dc.typetext

Files

Collections

arXiv