Difference sets without squares
type: Item
instance of: scholarly article
title: Difference sets without squares
zbMATH Open document ID: 0552.10035
DOI: 10.1007/BF02454169
published in: Periodica Mathematica Hungarica
publication date: 1984-01-01T00:00:00Z
review text: A sequence \(a_ 1,a_ 2,..\). of natural numbers is constructed so that no difference \(a_ i-a_ j\) is a square and the number of \(a_ i\) up to x is \(\geq x^{0.73}\), improving a result of \textit{A. Sárközy} [Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 21, 45-53 (1978; Zbl 0413.10051)].
Mathematics Subject Classification ID: 11B13
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 11B75
zbMATH DE Number: 3879034
zbMATH Keywords: nonsquare differences
zbMATH Keywords: difference sets
Wikidata QID: Q59663511
author: Imre Z. Ruzsa
MaRDI profile type: Publication
cites work: On difference sets of sequences of integers. I
cites work: Q4200151
description: scientific article; zbMATH DE number 3879034