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

01-06-2014

Issue

Volume 30 (June 2014)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Positive Integer Solutions of Some Pell Equations. (2014). MATEMATIKA, 30, 97-108. https://doi.org/10.11113/matematika.v30.n.667