On theta functions associated to indefinite quadratic forms
type: Item
instance of: scholarly article
title: On theta functions associated to indefinite quadratic forms
zbMATH Open document ID: 0587.10014
DOI: 10.1016/0022-314X(86)90095-8
author: Solomon Friedberg
published in: Journal of Number Theory
publication date: 1986-01-01T00:00:00Z
review text: The object of this paper is to determine the precise behaviour of a family of theta-functions on the upper-half plane which are associated with indefinite quadratic forms and have ''spherical functions'' as coefficients. The factor of automorphy is determined on a ''large'' group, and the result is probably optimal in this respect.
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11E45
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 14K25
zbMATH DE Number: 3941621
zbMATH Keywords: modular transformation formulas
zbMATH Keywords: eighth root of unity
zbMATH Keywords: theta-functions
zbMATH Keywords: indefinite quadratic forms
zbMATH Keywords: spherical functions
zbMATH Keywords: factor of automorphy
reviewed by: Samuel James Patterson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3941621