On the Non-Homogeneous Octic Equation with Five Unknowns ¬
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2014, Vol 1, Issue 2
Abstract
The non-homogeneous octic equation with five unknowns represented by the diophantine equation is analyzed for its patterns of non-zero distinct integral solutions and two different patterns of integral solutions are illustrated. Various interesting relations between the solutions and special numbers, namely, Pyramidal numbers, Pronic numbers, Stella octangular numbers, Gnomonic numbers, polygonal numbers, fourth, fifth and sixth dimensional figurate numbers are exhibited.
Authors and Affiliations
M. A. Gopalan, G. Sumathi, S. Vidhyalakshmi
Keywords
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