A. Chandoul, “The Pell Equation ,” Advances in Pure Mathematics, Vol. 1, No. 2, 2011, pp. 16-22. doi:10.4236/apm.2011.12005

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