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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:56901", author = "Ahmet Tekcan and Arzu Özkoç and Canan Kocapınar and Hatice Alkan", title = "The Pell Equation x2 − Py2 = Q", abstract = "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.", keywords = "Pell equation, solutions of Pell equation.", volume = "4", number = "7", pages = "924-4", }