Authors
Citation
T. Schoen, On a problem of Erdos and Sarkozy, J COMB TH A, 94(1), 2001, pp. 191-195
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165
→ ACNP
Volume
94
Issue
1
Year of publication
2001
Pages
191 - 195
Database
ISI
SICI code
0097-3165(200104)94:1<191:OAPOEA>2.0.ZU;2-P
Abstract
Let A = {a(1),.a(2),...} subset of or equal to N and put A(n) = Sigma (ai l
ess than or equal ton) 1. We say that A is a P-set if no element ni divides
the sum of two larger elements. It is proved that for every P-set A with p
airwise co-prime elements the inequality A(n) < 2n(2/3) holds for infinitel
y many n <is an element of> N. (C) 2001 Academic Press.