Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Open Access
  • Year: 2010
  • Volume: 29e
  • Issue: 1

Integral solutions of ternary quintic diophantine equation x2 + y2 = (k2 +1) z5

  • Author:
  • M.A. Gopalan, G. Sangeetha1,
  • Total Page Count: 6
  • Page Number: 23 to 28

1Department of Mathematics, Indra Ganesan College of Engineering, Manikandam, Trichy-12

Deptt. of Mathematics, Saranathan College of Engineering, Panjappur, Trichy-12

*Email: gopalanma@yahoo.com

**Email: san_maths@yahoo.co.in

Online published on 22 February, 2013.

Abstract

The Diophantine equation of degree five with three unknowns represented by x2 + y2 = (k2 +1) z5 is investigated for its non-zero distinct integral solutions. A few interesting relations between the values of x, y, z and special numbers are presented.

Keywords

Ternary Quintic equation, Integral solutions