Spinor equivalence of quadratic forms
type: Item
instance of: scholarly article
title: Spinor equivalence of quadratic forms
zbMATH Open document ID: 0532.10012
DOI: 10.1016/0022-314X(83)90051-3
author: J. W. Benham
author: J. S. Hsia
published in: Journal of Number Theory
publication date: 1983-01-01T00:00:00Z
review text: Let f be an integral quadratic form in three or more variables and g any form in the genus of f. The main theorem of the paper says: Then there is an effectively determinable prime p and a form g', belonging to the proper spinor genus of g, such that g' is a p-neighbour of f in the graph of f. This can be used for an explicit decision procedure for the spinor equivalence of quadratic forms; a different decision procedure has been given by \textit{J. W. S. Cassels} in his book ''Rational quadratic forms'' (1978; Zbl 0395.10029).
Mathematics Subject Classification ID: 11E12
zbMATH DE Number: 3843833
zbMATH Keywords: Bruhat-Tits building
zbMATH Keywords: integral quadratic form
zbMATH Keywords: spinor genus
zbMATH Keywords: decision procedure
reviewed by: Meinhard Peters
MaRDI profile type: Publication
cites work: On spinor exceptional representations
cites work: Q4177654
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cites work: Q5665241
cites work: On the spinor norm
full work available at URL: 0022-314x(83)90051-3
OpenAlex ID: W2063573984
description: scientific article; zbMATH DE number 3843833