Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Special Characterizations of Polygonal Numbers Through Pell Equations

1Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy, Tamil Nadu620 002, India

2Research Scholar, Department of Mathematics, Shrimati Indira Gandhi College, Trichy, Tamil Nadu620 002, India

*S. Aarthy Thangam, Research Scholar, Department of Mathematics, Shrimati Indira Gandhi College, Trichy, Tamil Nadu 620 002, India. E mail: aarthythangam@gmail.com

Abstract

In this paper, different choices of positive and negative Pell equations are considered. Employing the non-zero integer solutions of each of the above choices of positive and negative Pell equations, the relations among the special polygonal numbers are exhibited.

Keywords

Positive Pell equation, Negative Pell equation, Polygonal numbers, Integer solutions, 11D09