15 May 2001 On the abc conjecture, II
C. L. Stewart, Kunrui Yu
Duke Math. J. 108(1): 169-181 (15 May 2001). DOI: 10.1215/S0012-7094-01-10815-6

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.

Citation

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C. L. Stewart. Kunrui Yu. "On the abc conjecture, II." Duke Math. J. 108 (1) 169 - 181, 15 May 2001. https://doi.org/10.1215/S0012-7094-01-10815-6

Information

Published: 15 May 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1036.11032
MathSciNet: MR1831823
Digital Object Identifier: 10.1215/S0012-7094-01-10815-6

Subjects:
Primary: 11D75
Secondary: 11J25 , 11J86

Rights: Copyright © 2001 Duke University Press

Vol.108 • No. 1 • 15 May 2001
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