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POSITIVE INTEGER SOLUTIONS OF THE DIOPHANTINE EQUATIONS x(2)-5F(n)(xy)-5(-1)(n)y(2) = +/- 5(r)

POSITIVE INTEGER SOLUTIONS OF THE DIOPHANTINE EQUATIONS x(2)-5F(n)(xy)-5(-1)(n)y(2) = +/- 5(r)

Keskin, Refik; Karaatlı, Olcay
URI: https://hdl.handle.net/20.500.12619/6200
Date: 2013

Abstract:

In this study, we consider the Diophantine equations given in the title and determine when these equations have positive integer solutions. Moreover, we find all positive integer solutions of them in terms of Fibonacci and Lucas numbers.

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