One metric result about analytic continuation of some Dirichlet series

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dc.creatorRezvyakova, Irina
dc.date2007-12-10
dc.date.accessioned2026-07-07T08:48:13Z
dc.date.available2026-07-07T08:48:13Z
dc.descriptionIn this paper we consider certain 1-parametric family of Dirichlet series. For a particular value of the parameter the series turns into the Dirichlet series for the Riemann zeta function. We prove that almost every series of the family has analytic continuation to the half plane Re s > 1/2 where it doesn't vanish. The result was obtained before by different authors. We give its simple proof in terms of estimates of some trigonometric sums.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0712.1414
dc.identifierhttp://arxiv.org/abs/0712.1414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143871
dc.subjectComplex Variables
dc.subjectNumber Theory
dc.subject11M41
dc.titleOne metric result about analytic continuation of some Dirichlet series
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