On divisors of sums of integers. V
type: Item
instance of: scholarly article
title: On divisors of sums of integers. V
zbMATH Open document ID: 0841.11049
author: C. L. Stewart
author: András Sárközy
published in: Pacific Journal of Mathematics
publication date: 1996-07-16T00:00:00Z
review text: [Part IV, cf. Can. J. Math. 40, 788-816 (1988; Zbl 0649.10042).] Let \(\omega (n)\) denote the number of distint prime factors of \(n\). The authors estimate both \[ \max_{a\in A,\;b\in B} \omega(a+ b) \quad \text{and} \quad {1\over {|A|\cdot |B|}} \sum_{a\in A,\;b\in B} \omega (a+b) \] for non-empty subsets \(A\) and \(B\) of \(\{1, 2, \dots,N\}\) for which \((|A|\cdot |B|)^{1\over 2}\ll \varepsilon N\). Their explicit results are less suitable for detailed reproduction here.
Mathematics Subject Classification ID: 11N35
Mathematics Subject Classification ID: 11N25
Mathematics Subject Classification ID: 11B83
zbMATH DE Number: 759247
zbMATH Keywords: divisors of sums of integers
reviewed by: Roelof J. Stroeker
MaRDI profile type: Publication
Wikidata QID: Q105956115
full work available at URL: pjm.1994.166.373
OpenAlex ID: W4245568444
DOI: 10.2140/PJM.1994.166.373
description: scientific article; zbMATH DE number 759247