On The Homogeneous Biquadratic Equation with Four Unknowns x4 +y4+z4=32w4
Journal Title: Scholars Bulletin - Year 2015, Vol 1, Issue 7
Abstract
Abstract: The bi-quadratic equation with 4 unknowns given by is analyzed for its patterns of non-zero distinct integral solutions. Six different patterns of integer solutions to the above bi-quadratic equation are presented. A few interesting relations between the solutions and special numbers, namely, polygonal number and pyramidal number are exhibited. Keywords: Homogeneous bi-quadratic, bi-quadratic equation with four unknowns, integer solutions polygonal and pyramidal numbers. MSC Subject classification: 11D41.
Authors and Affiliations
M. A. Gopalan, S. Vidhyalakshmi, N. Thiruniraiselvi
Keywords
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