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OBSERVATIONS ON THE NON HOMOGENEOUS EQUATION OF THE EIGHTHDEGREE WITH FIVE UNKNOWNS

Abstract

We obtain infinitely many non-zero integer quintiples (x, y, z,w, p) satisfying the nonhomogeneous equation of degree eight with five unknowns given by 4 4 2 2 2 2 6 x  y  (k  s )(z w )p .Various interesting relations between the solutions and special numbers, namely, polygonal numbers, Pyramidal numbers, Star numbers, Stella Octangular numbers, Octahedral numbers, Four Dimensional Figurative numbers, Five Dimensional Figurative numbers and six Dimensional Figurative numbers are exhibited.

Vidhyalakshmi.S , Lakshmi.K , Gopalan.M.A

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