TY - JFULL
AU - Ahmet Tekcan and Arzu Özkoç and Canan Kocapınar and Hatice Alkan
PY - 2010/8/
TI - The Pell Equation x2 − Py2 = Q
T2 - International Journal of Physical and Mathematical Sciences
SP - 794
EP - 798
VL - 4
SN - 1307-6892
UR - https://publications.waset.org/pdf/7822
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 43, 2010
N2 - Let p be a prime number such that p ≡ 1(mod 4), say
p = 1+4k for a positive integer k. Let P = 2k + 1 and Q = k2.
In this paper, we consider the integer solutions of the Pell equation
x2-Py2 = Q over Z and also over finite fields Fp. Also we deduce
some relations on the integer solutions (xn, yn) of it.
ER -