Observations on the Ternary Quadratic Diophantine Equation 9(x2 + y2)-17xy+4x+4y+16=84z2

C. Saranya¹ , T. Vennila²

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.2 , pp.28-30, Apr-2022

Online published on Apr 30, 2022

Copyright © C. Saranya, T. Vennila . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The Ternary Quadratic Diophantine Equation representing non-homogeneous cone is analyzed for its non-zero distinct integer points on it. Six different patterns of integral solutions satisfying the cone under consideration are obtained. A few interesting relations between the solutions and some special number patterns are presented.

Key-Words / Index Term :
Ternary non-homogeneous Quadratic, Diophantine equation, integral solutions

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