Authors
Citation
T. Schoen, On sets of natural numbers whose sumset is free of squares, J COMB TH A, 88(2), 1999, pp. 385-388
Citations number
3
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165
→ ACNP
Volume
88
Issue
2
Year of publication
1999
Pages
385 - 388
Database
ISI
SICI code
0097-3165(199911)88:2<385:OSONNW>2.0.ZU;2-T
Abstract
Let A be a set of natural numbers such that the set A+A contains no perfect
squares. We prove that if the density d(A) exists, it is not larger than 2
/5. (C) 1999 Academic Press.