Analytic continuation of a class of Dirichlet series

Peter Grabner, Jörg Thuswaldner

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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.
Original languageEnglish
Pages (from-to)281-287
JournalAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Publication statusPublished - 1996

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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