The index of a point lattice in a set
type: Item
instance of: scholarly article
title: The index of a point lattice in a set
zbMATH Open document ID: 0832.11023
published in: Journal of Number Theory
publication date: 1996-03-07T00:00:00Z
review text: Let \(B\subset \mathbb{R}^n\) be a measurable set and for \(r\in [1, n]\) let \(L\subset \mathbb{R}^n\) be an \(r\)-dimensional point lattice. Then the author introduces the index \([B: L]\) of \(L\) in \(B\) as the measure of the set of different residue classes modulo \((L)\) intersecting \(B\). The author gives some descriptions of \([B: L]\) and some of its basic properties. Finally upper and lower bounds for \([B: L]\) are given.
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 52C07
zbMATH DE Number: 809121
zbMATH Keywords: intersecting residue classes
zbMATH Keywords: index
zbMATH Keywords: \(r\)-dimensional point lattice
author: Béla Uhrin
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
full work available at URL: jnth.1995.1115
OpenAlex ID: W1973893098
DOI: 10.1006/JNTH.1995.1115
description: scientific article; zbMATH DE number 809121