On Polynomials Solutions of Quadratic Diophantine Equations

Amara Chandoul

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DOI: 10.4236/apm.2011.14028                

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 (X_n,Y_n) of E

Keywords

Polynomial Solutions, Pell’s Equation, Diophantine Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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