On the Non-Homogeneous Equation of the Eighth Degree with Six Unknowns x5-y5+(x3-y3)xy = p(z2-w2)2T3
Journal Title: International Journal of Engineering Sciences & Research Technology - Year 30, Vol 2, Issue 5
Abstract
We obtain infinitely many non-zero integer sextuples (x, y, z,w, p,T ) satisfying the non-homogeneous equation of degree eight with six unknowns given by x5 - y5 + (x3 - y3)xy = p(z2 - w2)2T3. Various interesting relations between the solutions and special numbers, namely, polygonal numbers, Pyramidal numbers, Star numbers, Stella Octangular numbers, Octahedral numbers, Pronic number, Jacobsthal number, Jacobsthal- Lucas number, keynea number, Centered pyramidal numbers are exhibited.
Authors and Affiliations
S. Vidhyalakshmi
Keywords
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