On Ternary Quadratic Homogeneous Diophantine Equation 7x2 + 7y2 – 13xy = 28z2 |
Author(s): |
| Dr.P.JAYAKUMAR , A.V.V.M Srim Pushpam College. Poodi(Autonomous), Thanjavur-Dist, Pin- 613503, India; S.Prabha, A.V.V.M Srim Pushpam College. Poodi(Autonomous), Thanjavur-Dist, Pin- 613503, India |
Keywords: |
| Ternary Quadratic, homogenous cone, integer solutions, special numbers |
Abstract |
|
Five different patterns of the non-zero integral solutions of the ternary quadratic homogeneous Diophantine equation 7x2 + 7y2 – 13xy = 28z2 are obtained. Some interesting relations among the special numbers and the solutions are exposed. |
Other Details |
|
Paper ID: IJSRDV2I12402 Published in: Volume : 2, Issue : 12 Publication Date: 01/03/2015 Page(s): 706-708 |
Article Preview |
|
|
|
|
