Dirichlet series involving special values of Rankin convolutions attached to Siegel modular forms
type: Item
instance of: scholarly article
title: Dirichlet series involving special values of Rankin convolutions attached to Siegel modular forms
zbMATH Open document ID: 0790.11041
DOI: 10.1007/BF02941623
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1993-08-31T00:00:00Z
review text: The author studies a certain Dirichlet series attached to a pair of Siegel modular forms of weights \(g\) and \(g+1\). He proves analytic continuation and functional equation. Using \textit{S. Böcherer's} results about the Fourier-Jacobi expansion of Eisenstein series [Math. Z. 183, 21-46 (1983; Zbl 0503.10018)] he can reduce the proof to similar results of an earlier paper of his [Math. Ann. 28, 697-711 (1990; Zbl 0697.10026)].
Mathematics Subject Classification ID: 11F66
Mathematics Subject Classification ID: 11F67
Mathematics Subject Classification ID: 11F46
zbMATH DE Number: 404321
zbMATH Keywords: Rankin-Selberg convolution
zbMATH Keywords: Dirichlet series
zbMATH Keywords: Siegel modular forms
zbMATH Keywords: analytic continuation
zbMATH Keywords: functional equation
zbMATH Keywords: Fourier-Jacobi expansion
author: Winfried Kohnen
reviewed by: Rainer Schulze-Pillot
MaRDI profile type: Publication
cites work: Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen
cites work: Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
cites work: Certain L-series of Rankin-Selberg type associated to Siegel modular forms of degree \(g\)
cites work: Q3748348
description: scientific article; zbMATH DE number 404321