Author(s)

Amara Chandoul

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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 (X_n,Y_n) of E

Polynomial Solutions, Pell’s Equation, Diophantine Equation

A. Chandoul, "On Polynomials Solutions of Quadratic Diophantine Equations," Advances in Pure Mathematics, Vol. 1 No. 4, 2011, pp. 155-159. doi: 10.4236/apm.2011.14028.