Arithmetic properties of thin sets
type: Item
instance of: scholarly article
title: Arithmetic properties of thin sets
zbMATH Open document ID: 0603.43003
author: Kathryn E. Hare
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: We study arithmetic properties of \(\Lambda\) (p) sets for \(p>0\), and in particular show that \(\Lambda\) (p) sets do not contain parallelepipeds of arbitrarily large dimension. From this it follows that all \(\Lambda\) (p) sets satisfy the arithmetic properties which were previously known only for \(\Lambda\) (p) sets with \(p>2\). Random sequences are considered to show that parallelepipeds are not sufficient to characterize \(\Lambda\) (4) sets.
Mathematics Subject Classification ID: 43A46
Mathematics Subject Classification ID: 11H99
zbMATH DE Number: 3973533
zbMATH Keywords: thin sets
zbMATH Keywords: \(\Lambda \) (p) sets
zbMATH Keywords: parallelepipeds
MaRDI profile type: Publication
full work available at URL: pjm.1988.131.143
OpenAlex ID: W1980379807
DOI: 10.2140/PJM.1988.131.143
description: scientific article; zbMATH DE number 3973533