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has been cited by the following article:
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