Minimal vectors of pairs of dual lattices
type: Item
instance of: scholarly article
title: Minimal vectors of pairs of dual lattices
zbMATH Open document ID: 0829.11036
published in: Journal of Number Theory
publication date: 1996-01-22T00:00:00Z
review text: The author classifies pairs of dual lattices in Euclidean \(E^n\) by their minimal vectors. This leads to a natural enlargement by duality of the usual notion of a perfect lattice, which the author calls a `perfect pair'. It is shown that in any given dimension there are only finitely many perfect pairs.
Mathematics Subject Classification ID: 11H31
Mathematics Subject Classification ID: 11H56
Mathematics Subject Classification ID: 52C17
zbMATH DE Number: 770124
zbMATH Keywords: perfect pair
zbMATH Keywords: pairs of dual lattices
zbMATH Keywords: minimal vectors
zbMATH Keywords: perfect lattice
author: Anne-Marie Bergé
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
full work available at URL: jnth.1995.1071
OpenAlex ID: W2007162205
DOI: 10.1006/JNTH.1995.1071
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description: scientific article; zbMATH DE number 770124