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ON THE NUMBER OF SOLUTIONS OF THE DIOPHANTINE EQUATION axm−byn=c
Published online by Cambridge University Press: 13 January 2010
Abstract
Let a, b, c, x and y be positive integers. In this paper we sharpen a result of Le by showing that the Diophantine equation has at most two positive integer solutions (m,n) satisfying min (m,n)>1.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2010
Footnotes
The first author was supported by the Applied Basic Research Foundation of Sichuan Provincial Science and Technology Department (No. 2009JY0091). The second author is grateful to Purdue University North Central for the support.
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