On the abc conjecture, II

Authors
Citation
Cl. Stewart et K. Yu, On the abc conjecture, II, DUKE MATH J, 108(1), 2001, pp. 169-181
Citations number
17
Categorie Soggetti
Mathematics
Journal title
DUKE MATHEMATICAL JOURNAL
ISSN journal
00127094 → ACNP
Volume
108
Issue
1
Year of publication
2001
Pages
169 - 181
Database
ISI
SICI code
0012-7094(20010515)108:1<169:OTACI>2.0.ZU;2-Y
Abstract
Let x, y, and z be coprime positive integers with x + y = z. In this paper we give upper bounds for z in terms of the greatest square-free factor of x yz.