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

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.

Authors

N. Thiruniraiselvi (ORCID: https://orcid.org/0000-0003-4652-3846)
M. A. Gopalan
J. Shanthi

Institutions

Anna University, Chennai (IN)
Bharathidasan University (IN)
Sri Ramakrishna Institute of Paramedical Sciences (IN)

Publication Details

Journal: Zenodo (CERN European Organization for Nuclear Research)
Published: 2026-03-03
DOI: https://doi.org/10.5281/zenodo.18845047
Primary Topic: Advanced Mathematical Theories and Applications
Type: article
Field-Weighted Citation Impact: 0.00

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article

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

N. Thiruniraiselvi, M. A. Gopalan, J. Shanthi

Mar 3, 2026

Zenodo (CERN European Organization for Nuclear Research)

Advanced Mathematical Theories and Applications

article

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

N. Thiruniraiselvi, M. A. Gopalan, J. Shanthi

March 3, 2026article en

Abstract

Zenodo (CERN European Organization for Nuclear Research)

Anna University, Chennai (IN), Bharathidasan University (IN), Sri Ramakrishna Institute of Paramedical Sciences (IN)

Openalex Percentile: Top 35%

Advanced Mathematical Theories and Applications

DOI Open Access PDF OpenAlex

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Patterns of Integer Solutions to Non-homogeneous Ternary Heptic Diophantine Equation X2+y2=(a2+b2) z2 — N. Thiruniraiselvi, M. A. Gopalan, et al. · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS