Modular forms of varying weight. II
type: Item
instance of: scholarly article
title: Modular forms of varying weight. II
zbMATH Open document ID: 0569.10011
DOI: 10.1007/BF01179430
published in: Mathematische Zeitschrift
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173736
review text: This note is a continuation of part I [ibid. 190, 477-495 (1985; Zbl 0553.10021)]. For the full modular group meromorphic families of modular forms in two variables (r,s) are studied, which give the continuation of Eisenstein and Poincaré series. The parameter r is the weight and \(1/4- s^ 2\) is the eigenvalue of the Casimir operator. It is shown that each modular form with at most exponential growth may be obtained as value of a meromorphic combination of analytically continued Poincaré and Eisenstein series.
Mathematics Subject Classification ID: 11F11
zbMATH DE Number: 3908516
zbMATH Keywords: Poincaré series
zbMATH Keywords: exponential growth
zbMATH Keywords: Eisenstein series
zbMATH Keywords: modular forms
zbMATH Keywords: analytic continuation
author: Roelof Bruggeman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3908516