High Impact Factor : 4.396 icon | Submit Manuscript Online icon |

ON TERNARY QUADRATIC DIOPHANTINE EQUATION 4x2 + 4y2 - 7xy = 96z2

Author(s):

Dr P JAYAKUMAR , Periyar Maniammai University,Vallam, Thanjavur-613 403,TN, India; J MEENA, Assistant Professor of Mathematics, A.V.V.M. Sri Pushpam College (Autonomous), Poondi -613 503, Thanajvur,Tamil Nadu, India.

Keywords:

Ternary Quadratic, homogenous cone, integer solution, special numbers

Abstract

Five different methods of the non-zero integral solution of the ternary quadratic homogeneous Diophantine equation 4x2+4y2–7xy = 96z2 are obtained. Some interesting relations among the special numbers and the solutions are exposed.

Other Details

Paper ID: IJSRDV4I10823
Published in: Volume : 4, Issue : 1
Publication Date: 01/04/2016
Page(s): 876-877

Article Preview

Download Article