Modular forms of genus 2 and weight 1
type: Item
instance of: scholarly article
title: Modular forms of genus 2 and weight 1
zbMATH Open document ID: 0737.11011
DOI: 10.1007/BF02571784
author: Rainer Weissauer
published in: Mathematische Zeitschrift
publication date: 1992-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174389
review text: The author proves, that any Siegel modular form of genus two, which is a cusp form of weight 1 with respect to some congruence subgroup of type \(\Gamma_ 0(N)\) and some nebentypus character \(\chi\), is a linear combination of theta series attached to binary quadratic forms. This is an analog of the results of Serre and Stark on elliptic modular forms of weight 1/2, and strengthens earlier results of Andrianov.
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 4216036
zbMATH Keywords: Siegel modular form of genus two
zbMATH Keywords: theta series
zbMATH Keywords: binary quadratic forms
MaRDI profile type: Publication
cites work: The CAP representations of GSp (4,).
description: scientific article; zbMATH DE number 4216036