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Patterns of Integer Solutions to Homogeneous Ternary Quadratic Surface

Author: V.Anbuvalli, J.Shanthi, M.A.Gopalan

Published On: 2026-08-21

Abstract

        The cone represented by the ternary quadratic Diophantine Equation   is analyzed for its patterns of non-zero distinct integral solutions. Substitution technique and factorization method are utilized to obtain the same.

 Keywords: Ternary quadratic equation, Cone, Integral solutions, 

                    Substitution technique, Factorization method

Keywords
Ternary quadratic equation Cone Integral solutions                       Substitution technique Factorization method
Article Information
Volume

9

Year

2026

Review Rounds

1

Article Type

Research Article

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