EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 65(79), pp. 69--96 (1999)

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Asymptotic expansions for Dirichlet series associated to cusp forms

Andreas Guthmann

Fachbereich Mathematik Universität Kaiserslautern D-67663 Kaiserslautern

Abstract: We prove an asymptotic expansion of Riemann-Siegel type for Dirichlet series associated to cusp forms. Its derivation starts from a new integral formula for the Dirichlet series and uses sharp asymptotic expansions for partial sums of the Fourier series of the cusp form.

Keywords: Riemann-Siegel formula, cusp forms, Dirichlet series

Classification (MSC2000): 11M41

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 7 Dec 2001.

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