International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 6

On a polynomial solutions of a diophantine equation

  • Author:
  • Manju Somanath1, K. Raja2,, J. Kannan3
  • Total Page Count: 5
  • Page Number: 107 to 111

1Assistant Professor, Department of Mathematics, National College, Trichy, Tamil Nadu, India

2Assistant Professor, Department of Mathematics, National College, Trichy, Tamil Nadu, India

3Research Scholar, Department of Mathematics, National College, Trichy, Tamil Nadu, India

*Author correspondence: K. Raja, Assistant Professor, Department of Mathematics, National College, Bharathidasan University, Trichy, India. Email: rajakonline@gmail.com

Online published on 19 April, 2019.

Abstract

Let =P(t) be a polynomial in Z[x]. In this paper, we consider the polynomial solutions of Diophantine equation D: K2−56R2−32K−224R−224=0. We also obtain some formulae and recurrence relations on the polynomial solution (Kn, Rn) of D.

Keywords

Pell equation, Diophantine equation Polynomial solution, Continued fraction expansion