Integral spinor norms in dyadic local fields. I
type: Item
instance of: scholarly article
title: Integral spinor norms in dyadic local fields. I
zbMATH Open document ID: 0806.11019
author: Fei Xu
published in: Pacific Journal of Mathematics
publication date: 1994-03-23T00:00:00Z
review text: The best bound about the orders of the discriminants of integral quadratic forms is given which makes the spinor norms of orthogonal groups of these integral quadratic forms over arbitrary dyadic local fields contain the whole units of the field. As an application, the results are applied to improve the sufficient condition for the class number of an indefinite quadratic form over the ring of integers of a number field to be a divisor of the class number of the field. [Part II, cf. Acta Arith. 63, 223-232 (1993; Zbl 0780.11017)].
reviewed by: Fei Xu
Mathematics Subject Classification ID: 11E08
Mathematics Subject Classification ID: 11E41
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 508859
zbMATH Keywords: orders of discriminants
zbMATH Keywords: spinor norms
zbMATH Keywords: integral quadratic forms
zbMATH Keywords: dyadic local fields
zbMATH Keywords: class number
MaRDI profile type: Publication
full work available at URL: pjm.1993.157.179
OpenAlex ID: W4256573419
DOI: 10.2140/PJM.1993.157.179
description: scientific article; zbMATH DE number 508859