Positive Integer Solutions of Some Pell Equations

Authors

  • Merve Gu¨ney Duman

DOI:

https://doi.org/10.11113/matematika.v30.n.667

Abstract

Let d be a positive integer which is not a perfect square. In this paper, by using continued fraction expansion of √d, we find fundamental solution of some Pell equation. Moreover, we get all positive integer solutions of some Pell equations in terms of generalized Fibonacci and Lucas sequences. Keywords : Pell Equations; Continued Fraction; Generalized Fibonacci and Lucas numbers 2010 Mathematics Subject Classification 11A55; 11B37; 11B39; 11D55; 11D09; 11J70.

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Published

2014-06-01

Issue

Section

Mathematics