On primitive spinor exceptional representations
type: Item
instance of: scholarly article
title: On primitive spinor exceptional representations
zbMATH Open document ID: 0605.10012
DOI: 10.1016/0022-314X(87)90094-1
author: J. S. Hsia
published in: Journal of Number Theory
publication date: 1987-01-01T00:00:00Z
review text: In earlier papers a relationship between primitive representations of certain numbers \(c\) by a spinor genus of a ternary quadratic form \(f\) and primitive representations of \(ct^2\), \((t,2D)=1\), by \(f\) was established (\(D\) is the discriminant of \(f\)). This paper gives a generalization of this result to higher dimensional settings, namely to primitive representations of forms by forms, more precisely: a relationship between primitive representations of certain \(n\)-ary quadratic forms \(g\) by a spinor genus of an \((n+2)\)-ary quadratic form \(f\) and primitive representations of some \(n\)-ary subform \(fg'\) of \(g\) by \(f\) itself is established.
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11E16
Mathematics Subject Classification ID: 11E25
zbMATH DE Number: 3977085
zbMATH Keywords: primitive representations of forms by forms
zbMATH Keywords: n-ary quadratic forms
zbMATH Keywords: spinor genus
reviewed by: Meinhard Peters
MaRDI profile type: Publication
cites work: On spinor exceptional representations
cites work: Spinor equivalence of quadratic forms
cites work: Congruence conditions on integers represented by ternary quadratic forms
cites work: Representation of spinor exceptional integers by ternary quadratic forms
cites work: Q5655429
cites work: Witt's Theorem for Modular Lattices
cites work: Q3293461
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description: scientific article; zbMATH DE number 3977085