A discrete analogue for Minkowski's second theorem on successive minima
type: Item
instance of: scholarly article
zbMATH Open document ID: 1247.52006
author: Romanos-Diogenes Malikiosis
publication date: 2012-05-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1001.3729
full work available at URL: http://hdl.handle.net/10220/12320
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52C07
zbMATH DE Number: 6033010
zbMATH Keywords: lattice points
zbMATH Keywords: Minkowski theorem
zbMATH Keywords: successive minima
MaRDI profile type: Publication
OpenAlex ID: W2022911026
arXiv ID: 1001.3729
DOI: 10.1515/ADVGEOM-2012-0002
title: A discrete analogue for Minkowski's second theorem on successive minima
published in: Advances in Geometry
review text: The main result of the paper is an inequality relating the lattice point enumerator of a \(3\)-dimensional, \(0\)-symmetric convex body and its successive minima. This is an example of generalization of Minkowski's theorems on successive minima, where the volume is replaced by the lattice point enumerator.
reviewed by: Monika Nowicka
description: scientific article; zbMATH DE number 6033010