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.18845046
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00