Ahmet Tekcan
The Pell Equation x2 − (k2 − k)y2 2t
424 - 428
2008
2
7
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/7073
https://publications.waset.org/vol/19
World Academy of Science, Engineering and Technology
Let k, t, d be arbitrary integers with k ≥ 2, t ≥ 0 and
d k2 k. In the first section we give some preliminaries from
Pell equations x2 dy2 1 and x2 dy2 N, where N be any
fixed positive integer. In the second section, we consider the integer
solutions of Pell equations x2 dy2 1 and x2 dy2 2t. We
give a method for the solutions of these equations. Further we derive
recurrence relations on the solutions of these equations
Open Science Index 19, 2008