Integral Solutions of the Homogeneous Quintic Diophantine Equationy x5 - y5 - x2y2 (x-y) = 972 (x-y) (z+w)2p2 |
Author(s): |
C. Saranya , ASSISTANT PROFESSOR, CAUVERY COLLEGE FOR WOMEN, TRICHY; G. Janaki, ASSISTANT PROFESSOR, CAUVERY COLLEGE FOR WOMEN, TRICHY |
Keywords: |
Integral Solutions, the Homogeneous Quintic Diophantine Equation |
Abstract |
The Homogeneous Quintic Diophantine equation with five unknowns represented by x5 –y5 - x2y2 (x-y) = 972 (x-y) (z+w)2p2 is analyzed for its non-zero distinct integer solutions. Different patterns of integral solutions satisfying the equation are obtained. A few interesting relations between the solutions and some special numbers are presented. |
Other Details |
Paper ID: IJSRDV5I70030 Published in: Volume : 5, Issue : 7 Publication Date: 01/10/2017 Page(s): 75-77 |
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