Integral solutions of the heptic equation with five unknowns

S.Vidhyalakshmi, A.Kavitha, M.A.Gopalan

The non-homogeneous Diophantine equation of degree seven with five variables represented by is analyzed for its non-zero distinct integer solutions. A few interesting relation between the solutions and special numbers namely Polygonal numbers, Pyramidal numbers, centered Polygonal numbers are exhibited.