On Polynomial Solutions of Quadratic Diophantine Equation


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Authors

  • Manju Somanath Department of Mathematics, National College, Trichy, Tamil Nadu, India
  • J. Kannan Department of Mathematics, National College, Trichy, Tamil Nadu, India
  • K. Raja Department of Mathematics, National College, Trichy, Tamil Nadu, India

Keywords:

Diophantine equation, Polynomial solution, Pells equation, Continued fraction expansion

Abstract

Let $P:= P(t)$ be a polynomial in $Z\left[X\right]$. In this paper, we consider the polynomial solutions of Diophantine Equation $D:x^2-6y^2-10x+24y=0$. We also obtain some formulae and recurrence relations on the Polynomial solution $(x_n, y_n)$ of $D$.

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Published

30-12-2017

How to Cite

Manju Somanath, J. Kannan, & K. Raja. (2017). On Polynomial Solutions of Quadratic Diophantine Equation. International Journal of Mathematics And Its Applications, 5(4 - F), 839–844. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1346

Issue

Vol. 5 No. 4 - F (2017)

Section

Research Article

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