Über Rangbestimmungen im Bereich der Modulformen vom Gewicht 1 der rationalen Modulgruppe
type: Item
instance of: scholarly article
title: Über Rangbestimmungen im Bereich der Modulformen vom Gewicht 1 der rationalen Modulgruppe
zbMATH Open document ID: 0555.10014
DOI: 10.1007/BF01194079
author: Hans Petersson
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: It is a difficult task to determine the dimension of spaces of modular forms of weight one. In Theorem 1.13 of his treatise ''Modulfunktionen und quadratische Formen'' (1982; Zbl 0493.10033) the author gave a formula for the dimension of the orthogonal complement of the space of cusp forms in the space of all entire modular forms of weight one and a real multiplier system on canonical subgroups of the modular group. In the present paper he proves that the result remains valid for non-real multiplier systems and some specific congruence subgroups \(\Gamma_ 0(\ell)\).
reviewed by: Günter Köhler
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F06
zbMATH DE Number: 3884247
zbMATH Keywords: dimension of spaces of modular forms of weight one
zbMATH Keywords: space of cusp forms
zbMATH Keywords: non-real multiplier systems
zbMATH Keywords: congruence subgroups
MaRDI profile type: Publication
cites work: Q3955440
full work available at URL: https://doi.org/10.1007/bf01194079
OpenAlex ID: W2048992810
description: scientific article; zbMATH DE number 3884247