Ahmet Tekcan and Arzu Özkoç and Canan Kocapınar and Hatice Alkan
The Pell Equation x2 − Py2 Q
795 - 798
2010
4
7
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/7822
https://publications.waset.org/vol/43
World Academy of Science, Engineering and Technology
Let p be a prime number such that p ≡ 1(mod 4), say
p 14k for a positive integer k. Let P 2k 1 and Q k2.
In this paper, we consider the integer solutions of the Pell equation
x2Py2 Q over Z and also over finite fields Fp. Also we deduce
some relations on the integer solutions (xn, yn) of it.
Open Science Index 43, 2010