TY - JFULL
AU - Ahmet Tekcan
PY - 2008/8/
TI - The Pell Equation x2 − (k2 − k)y2 = 2t
T2 - International Journal of Mathematical and Computational Sciences
SP - 423
EP - 428
VL - 2
SN - 1307-6892
UR - https://publications.waset.org/pdf/7073
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 19, 2008
N2 - 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
ER -