On the classification of unimodular quadratic forms
type: Item
instance of: scholarly article
title: On the classification of unimodular quadratic forms
zbMATH Open document ID: 0451.10015
DOI: 10.1016/0022-314X(80)90024-4
author: J. S. Hsia
published in: Journal of Number Theory
publication date: 1980-01-01T00:00:00Z
review text: The starting point is a recent result of \textit{L. J. Gerstein} [J. Number Theory 11, 529--541 (1979; Zbl 0406.10017)]. Two arithmetical invariants are introduced and they are used to classify certain unimodular quadratic forms over Hasse domains. An application is a cancellation result.
Mathematics Subject Classification ID: 11E12
zbMATH DE Number: 3704675
zbMATH Keywords: arithmetical invariants
zbMATH Keywords: Hasse domains
zbMATH Keywords: cancellation result
reviewed by: Meinhard Peters
MaRDI profile type: Publication
cites work: ON THE K-THEORY OF UNIMODULAR FORMS OVER RINGS OF ALGEBRAIC INTEGERS
cites work: Unimodular quadratic forms over global function fields
cites work: ON THE HASSE PRINCIPLE FOR K0 OF QUADRATIC FORMS OVER COMMUTATIVE RINGS
cites work: Spinor norms of local integral rotations. I
cites work: Representations by spinor genera
cites work: Q5670744
cites work: Darstellungsmaße indefiniter quadratischer Formen
cites work: Q3293461
cites work: On the Integral Representations of Quadratic Forms Over Local Fields
full work available at URL: 0022-314x(80)90024-4
OpenAlex ID: W1983677508
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description: scientific article; zbMATH DE number 3704675