• INTEGER SOLUTIONS OF THE EIGHTH DEGREE EQUATION WITH SEVEN VARIABLES...

S. VIDHYALAKSHMI, A. KAVITHA, M. A. GOPALAN*

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 four patterns of integral solutions are illustrated. Various interesting relations between the solutions and special numbers, namely, Pyramidal numbers, Pronic numbers, polygonal numbers, fourth, fifth and sixth dimensional figurate numbers are exhibited.


Keywords


Octic non-homogeneous equation, Pyramidal numbers, Pronic numbers, Fourth, fifth and sixth dimensional figurate numbers.

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