Published online by Cambridge University Press: 13 January 2010
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.
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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