### On the abc conjecture, II

C. L. Stewart and Kunrui Yu
Source: Duke Math. J. Volume 108, Number 1 (2001), 169-181.

#### 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 xyz.

First Page:

#### Related Works:

Primary Subjects: 11D75
Secondary Subjects: 11J25, 11J86
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1091737127
Mathematical Reviews number (MathSciNet): MR1831823
Digital Object Identifier: doi:10.1215/S0012-7094-01-10815-6
Zentralblatt MATH identifier: 1036.11032

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