The exceptional solutions of Goormaghtigh's equation x3 - 1/x -1 = yn - 1/y - 1

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Le, M. [1 ]
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[1] Department of Mathematics, Zhanjiang Normal College, Zhanjiang 524048, Guangdong, China
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In this paper we prove that the exceptional solutions (x, y, n) of Goormaghtigh's equation x3 - 1/x - 1 = yn - 1/y - 1 satisfy gcd(x, y) > 1 and y @@@ x.
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页码:29 / 32
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