Observations on the Homogenours Ternary Quadratic Diophantine Equation 39(X 2 +y 2) –72Xy=246Z 2

Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.10, No. 2)

Publication Date: 2021-08-24

Authors : A. Vijayasankar Sharadha Kumar; M. A. Gopalan;

Page : 121-128

Keywords : Ternary Quadratic; Homogeneous Quadratic; Integer Solutions;

Source : Download Find it from : Google Scholar

Abstract

The homogeneous ternary quadratic equation given by 2 2 2 39(x  y )  72xy  246z is analysed for its non-zero distinct integer solutions through different methods. Also, formulae for generating sequence of integer solutions based on the given solution are presented.

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Observations on the Homogenours Ternary Quadratic Diophantine Equation 39(X 2 +y 2) –72Xy=246Z 2

Abstract

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