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.

Author: Andreas Guthmann urn:nbn:de:hbz:386-kluedo-7840 Preprints (rote Reihe) des Fachbereich Mathematik (286) Preprint German 1997 1997 Technische Universität Kaiserslautern Fachbereich Mathematik 510 Mathematik 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)

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