most citedThe Generalized Fibonacci and Lucas Solutions of The Pell Equations x^2-(a^2b^2-b)y^2=N and x^2-(a^2b^2-2b)y^2=N

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2 papers

math.NT2013

Solutions of the Pell equations x^2-(a^2+2a)y^2=N via generalized Fibonacci and Lucas numbers

Bilge Peker

In this study, we find continued fraction expansion of sqrt(d) when d=a^2+2a where a is positive integer. We consider the integer solutions of the Pell equation x^2-(a^2+2a)y^2=N w…

math.NT2013★ 1 cited

The Generalized Fibonacci and Lucas Solutions of The Pell Equations x^2-(a^2b^2-b)y^2=N and x^2-(a^2b^2-2b)y^2=N

Bilge Peker, Hasan Senay

In this study, we find continued fraction expansion of sqrt(d) when d=a^2b^2-b and d=a^2b^2-2b where a and b are positive integers. We consider the integer solutions of the Pell eq…