TITLE:
On Polynomials Solutions of Quadratic Diophantine Equations
AUTHORS:
Amara Chandoul
KEYWORDS:
Polynomial Solutions, Pell’s Equation, Diophantine Equation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.4,
July
26,
2011
ABSTRACT: Let P:=P(t) be a polynomial in Z[X]\{0,1} In this paper, we consider the number of polynomial solutions of Diophantine equation E:X2–(P2–P)Y2–(4P2–2)X+(4P2–4P)Y=0. We also obtain some formulas and recurrence relations on the polynomial solution (Xn,Yn) of E