Ternary quadratic forms and quaternion algebras
type: Item
instance of: scholarly article
title: Ternary quadratic forms and quaternion algebras
zbMATH Open document ID: 0585.10012
DOI: 10.1016/0022-314X(86)90090-9
author: Thomas R. Shemanske
published in: Journal of Number Theory
publication date: 1986-01-01T00:00:00Z
review text: A weighted average of the number of primitive representations of a positive integer by a ternary quadratic form is computed using the arithmetic of the associated quaternion algebra.
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11E20
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 3937245
zbMATH Keywords: class number
zbMATH Keywords: imaginary quadratic field
zbMATH Keywords: representations of
zbMATH Keywords: integers
zbMATH Keywords: weighted average
zbMATH Keywords: number of primitive representations
zbMATH Keywords: ternary quadratic form
zbMATH Keywords: quaternion algebra
reviewed by: Meinhard Peters
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3937245