Advances in Theoretical and Applied Mathematics

  • Year: 2006
  • Volume: 1
  • Issue: 1

Complex Integer Solutions of

  • Author:
  • M.A. Gopalan1, S. Devibala2
  • Total Page Count: 5
  • DOI:
  • Page Number: 91 to 95

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

2Department of Mathematics, Shrimati Indira Gandhi College, Trichy, India. E-mail: devibala27@yahoo.com

AMS Mathematics Subject Classification: 11D41

Abstract

Different patterns of two parametric solutions in complex integers of the pair of simultaneous equations x + y = u + v, x5 + y5 = u5 + v5 are obtained. A few interesting relations among the solutions are also given.

Keywords

Double equations, Gaussian integers, fifth order Ramanujan numbers