Estimates of the number of relative minima of lattices
type: Item
instance of: scholarly article
title: Estimates of the number of relative minima of lattices
zbMATH Open document ID: 1290.11102
DOI: 10.1134/S0001434611010305
author: A. A. Illarionov
published in: Mathematical Notes
publication date: 2011-11-25T00:00:00Z
review text: The author proves an estimate for the number of relative minima of an arbitrary lattice (possible noninteger and incomplete) contained in a given cube. This estimate is precise up to a constant depending on the dimension of the space and on the rank of the lattice.
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 11H50
Mathematics Subject Classification ID: 11J70
zbMATH DE Number: 5980769
zbMATH Keywords: \(s\)-dimensional lattice
zbMATH Keywords: minimum of a lattice
zbMATH Keywords: rank of a lattice
zbMATH Keywords: continued fraction
zbMATH Keywords: convergence
zbMATH Keywords: Klein polyhedron
reviewed by: Oleg Karpenkov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5980769