Positive Integer Solutions of Some Pell Equations via Generalized Bi-Periodic Fibonacci and Generalized Bi-Periodic Lucas Sequences
Journal: International Journal of Science and Research (IJSR) (Vol.11, No. 8)Publication Date: 2022-08-05
Authors : S. Sriram; P. Veeramallan;
Page : 1050-1053
Keywords : Continued fraction; Pell equations; Generalized Bi-Periodic Fibonacci and Lucas sequences;
Abstract
Let C be a non-perfect square positive-integer and C=m^2?1,m^2?2,m^2?m. The basic solution of the Pell equation is found in the present articlex^2-Cy^2=?1by using Continued fraction expansion of ?C. Also, in terms of Generalized Bi-Periodic Fibonacci and Lucas sequences, we obtain all positive-integer solutions of the Pell equation x^2-Cy^2=?1.
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Last modified: 2022-09-07 15:21:04