International Journal of Research in Engineering and Applied Sciences
  • Year: 2015
  • Volume: 5
  • Issue: 9

On ternary quadratic diophantine equation 3(x2+y2)=4xy = 42x2

  • Author:
  • K. Meena1, M.A. Gopalan2, N. Thiruniraiselvi3, D. Kanaka4
  • Total Page Count: 6
  • Page Number: 174 to 179

1Former VC, Bharathidasan University, Trichy

2Professor, Department of Mathematics, SIGC, Trichy

3Research Scholar, Department of mathematics, SIGC, Trichy

4MPhil Scholar, Department of Mathematics, SIGC, Trichy

2010 Mathematical subject Classification: 11D09

Abstract

The ternary homogeneous quadratic equation given by 3(x2+y2)=4xy = 42x2 representing a cone is analyzed for its non-zero distinct integer solutions. A few interesting relations between the solutions and special polygonal and pyramidal numbers are presented.

Keywords

Ternary quadratic integer solutions, figurate numbers, Special numbers