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Die Riemann-Siegel_Integralformel für die Mellintransformation von Spitzenformen

  • An analogue of the classical Riemann-Siegel integral formula for Dirichlet series associated to cusp forms is developed. As an application of the formula, we give a comparatively simple proof of the approximate functional equation for this type of Dirichlet series.

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Author:Andreas Guthmann
URN (permanent link):urn:nbn:de:hbz:386-kluedo-7840
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (286)
Document Type:Preprint
Language of publication:German
Year of Completion:1997
Year of Publication:1997
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):11-XX NUMBER THEORY / 11Mxx Zeta and L-functions: analytic theory / 11M41 Other Dirichlet series and zeta functions (For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72)
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011