Patterns of Integer Solutions to Non-homogeneous Ternary Heptic Diophantine Equation X2+y2=(a2+b2) z2

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: J. Shanthi, N. Thiruniraiselvi, M. A. Gopalan
DOI: 10.5281/zenodo.18845046
Cited by: 0

Abstract

Abstract This paper aims at determining non-zero distinct integer solutions to non-homogeneous ternary heptic Diophantine equation x 2 + y 2 = (a2+b2) z7. Transformation techniques and factorization methods are utilized to obtain the same.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Analytic Number Theory Research Advanced Differential Equations and Dynamical Systems

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
3 March 2026
Language
EN