ON THE HOMOGENEOUS CONE 2 2 2 3x − 8 y = 25z

Authors

  • M A Gopalan Professor, Department of Mathematics, SIGC, Trichy, Tamil Nadu 620002, India.
  • Sharadha Kumar M.Phil Scholar, Department of Mathematics, SIGC, Trichy, Tamil Nadu 620002, India.

DOI:

https://doi.org/10.48165/

Keywords:

Ternary quadratic, homogeneous quadratic, homogeneous cone, integer

Abstract

This paper aims at determining non-zero distinct integer solutions satisfying the homogeneous cone  represented by the ternary quadratic equation 2 2 2 3x − 8y = 25z . A few interesting relations among the  solutions are presented. A general formula for generating sequence of integer solutions to the given cone  based on a given solution is illustrated.  

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Published

2019-06-12

Issue

Vol. 38 No. 1 (2019): Bulletin of Pure and Applied Sciences (Math & Stat) (Jan-Jun) 2019

Section

Articles

How to Cite

Gopalan, M.A., & Kumar, S. (2019). ON THE HOMOGENEOUS CONE 2 2 2 3x − 8 y = 25z . Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 38(1), 245–252. https://doi.org/10.48165/
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