On sets of natural numbers whose sumset is free of squares
type: Item
instance of: scholarly article
title: On sets of natural numbers whose sumset is free of squares
zbMATH Open document ID: 0936.11016
author: Tomasz Schoen
published in: Journal of Combinatorial Theory. Series A
publication date: 2000-01-30T00:00:00Z
review text: Let \(A\) be a set of intgers such that \(A+A\) contains no square. Assume moreover that the density of \(A\) exists. The author shows that \(d(A)\leq 2/5\).
reviewed by: Yahya Ould Hamidoune
Mathematics Subject Classification ID: 11B75
Mathematics Subject Classification ID: 11B05
zbMATH DE Number: 1383698
zbMATH Keywords: density
zbMATH Keywords: sum-free sets
MaRDI profile type: Publication
full work available at URL: jcta.1999.2985
OpenAlex ID: W2066362328
cites work: Q4312862
cites work: On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions
cites work: On the density of sequences of integers the sum of no two of which is a square. II: General sequences
DOI: 10.1006/JCTA.1999.2985
description: scientific article; zbMATH DE number 1383698