Integral Solutions of The Homogeneous Cubic Diophantine Equation with 6 Unknowns (w² + p² - z²)(w - p) = (x + y)R² |
Author(s): |
| Dr.P.Jayakumar , AVVM SRI PUSHPAM COLLEGE , POONDI,THANJAVUR-DIST, TN; K.Sangeetha, A.V.V.M Sri Pushpam College (Autonomous), Poondi,Thanjavur (District) ? 613 503, Tamilnadu, India. |
Keywords: |
| cubic equation with 6 unknowns, Homogeneous cubic equation, integral solutions 2010 Mathematics Subject Classification: 11D09 |
Abstract |
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The homogeneous cubic equation with 6 unknowns represented by (w² + p² - z²)(w - p) = (x + y)R² is analyzed for its non-zero distinct integer solutions. Employing the transformations and applying the method of factorization, five different patterns of non-zero distinct integer solutions to the above cubic equation are obtained. A few interesting relations between the solutions and special numbers namely Polygonal numbers and Pyramidal numbers are presented. |
Other Details |
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Paper ID: IJSRDV2I11161 Published in: Volume : 2, Issue : 11 Publication Date: 01/02/2015 Page(s): 236-237 |
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