Analytic continuation of a class of Dirichlet series

Peter Grabner; Jörg Thuswaldner

doi:10.1007/BF02940810

Analytic continuation of a class of Dirichlet series

Peter Grabner, Jörg Thuswaldner

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

We consider Dirichlet series of the type Σ(logk)n(k)(logk)ϑ-s. We prove the existence of an analytic continuation to the cut plane and give exact information about the singularity. We use this to generalize results, which occur in Ramanujan’s second notebook.

Originalsprache	englisch
Seiten (von - bis)	281-287
Fachzeitschrift	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Jahrgang	66
DOIs	https://doi.org/10.1007/BF02940810
Publikationsstatus	Veröffentlicht - 1996

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

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10.1007/BF02940810

Dieses zitieren

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