Andrianov's \(L\)-functions associated to Siegel wave forms of degree two
type: Item
instance of: scholarly article
title: Andrianov's \(L\)-functions associated to Siegel wave forms of degree two
zbMATH Open document ID: 0837.11026
DOI: 10.1007/BF01460987
author: Akira Hori
published in: Mathematische Annalen
publication date: 1996-02-13T00:00:00Z
full work available at URL: https://eudml.org/doc/165365
review text: The author considers a kind of Maaß wave form \(F\) on the Siegel half space of degree 2. Assume that \(F\) is a cusp form and simultaneous Hecke eigenform. Then the Andrianov \(L\)-function \(L_F(s)\) attached to \(F\) is investigated. \(L_F (s)\) possesses an analytic continuation as an entire function and satisfies a functional equation under \(s \mapsto - 2 - s\). These results generalize \textit{A. N. Andrianov}'s results [Russ. Math. Surv. 29, No. 3, 45-116 (1974); translation from Usp. Mat. Nauk 29, 43-110 (1974; Zbl 0304.10020)] on holomorphic Siegel modular forms of degree 2.
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11F66
zbMATH DE Number: 840182
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: Mellin transform
zbMATH Keywords: Whittaker function
zbMATH Keywords: Siegel half space Andrianov \(L\)-function
zbMATH Keywords: Maaß wave form
zbMATH Keywords: Hecke eigenform
zbMATH Keywords: analytic continuation
zbMATH Keywords: functional equation
reviewed by: Aloys Krieg
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 840182