Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2010
  • Volume: 29e
  • Issue: 2

On the equation x2 + xy -y2 = (n2 + 4n -1)z3

  • Author:
  • M.A. Gopalan, P. Shanmuganandham
  • Total Page Count: 5
  • Page Number: 231 to 235

Department of Mathematics, National College, Trichy-620 001 (Tamil Nadu)

*Email: gopalanma@yahoo.com

**Email: thamaraishanmugam@yahoo.co.in

The publication of this paper is sponsored by UGC, Grant No. F.MRP0-2788/09/09 (MRP/UGC-SERO) dt: Feb.2009.

Abstract

We obtain non-trivial integral solutions for the ternary cubic equation x2 + xy -y2 =(n2 + 4n -1)z3. A few interesting relations among the solutions are presented.

Keywords

Ternary Cubic, Integral solutions, Polygonal Numbers, Pyramidal Numbers