Representations of codimension \(\geq 3\) by definite quadratic forms
type: Item
instance of: scholarly article
title: Representations of codimension \(\geq 3\) by definite quadratic forms
zbMATH Open document ID: 0915.11022
author: Wai Kiu Chan
author: M. Jöchner
author: Dennis R. Estes
published in: Journal of Number Theory
publication date: 1999-07-06T00:00:00Z
review text: Let \(M\) be a positive definite quadratic \(\mathbb{Z}\)-lattice of rank \(\geq n+3\). If \(N\) is a quadratic \(\mathbb{Z}\)-lattice of rank \(n\) which is primitively represented by the genus of \(M\) and if all the successive minima of \(N\) increase sufficiently quickly, then there exists a global primitive representation of \(N\) by \(M\) with approximation and primitivity properties.
reviewed by: Meinhard Peters
Mathematics Subject Classification ID: 11E12
zbMATH DE Number: 1221696
zbMATH Keywords: representations
zbMATH Keywords: quadratic forms
zbMATH Keywords: successive minima
zbMATH Keywords: global primitive representation
MaRDI profile type: Publication
full work available at URL: jnth.1998.2233
OpenAlex ID: W2048295725
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DOI: 10.1006/JNTH.1998.2233
description: scientific article; zbMATH DE number 1221696