Advances in Theoretical and Applied Mathematics
  • Year: 2006
  • Volume: 1
  • Issue: 2

Integral Solutions of kxy − w(x + y) = z2

  • Author:
  • M.A. Gopalan1, S. Vidhyalakshmi2
  • Total Page Count: 6
  • Page Number: 167 to 172

1Department of Mathematics, National College, Trichy, India. E-mail: gopalanma@yahoo.com

2Department of Mathematics, Shrimati Indira Gandhi College, Trichy, India. E-mail: vidhyaramanand@yahoo.co.in

AMS Mathematics Subject Classification: 11D09.

Abstract

We search for non-zero integer quadruples (x,y,z,w) satisfying the quadratic equation kxy − w(x + y) = z2. The recurrence relations for the solutions are presented. Given a solution, a general formula for the generation of solutions is also obtained.

Keywords

Quadratic equation with four variables, integral solutions