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On the diophantine equation x3-1x-1=yn-1y-1

Article ID Journal Published Year Pages File Type
9496446 Journal of Number Theory 2005 6 Pages PDF
Abstract
In this paper, we prove the equation in the title has no positive integer solutions (x,y,n) with 2∤n and x≠y apart from (x,y,n)=(5,2,5),(90,2,13).
Keywords
11D0911J86Exponential Diophantine equationsQuadratic equations
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the diophantine equation x3-1x-1=yn-1y-1
Authors
Pingzhi Yuan,
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Journal
Journal of Number Theory
Journal: Journal of Number Theory
Related Categories
11D09
11J86
Exponential Diophantine equations
Quadratic equations
Algebra and Number Theory
Analysis
Applied Mathematics
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Journal of Symbolic Computation
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