Innumerable Sequences of Hyperbolic Polynomial Diophantine Triples
Abstract
This paper presents a novel construction of infinite sequence of Hyperbolic polynomial Diophantine triples using Vieta polynomials with the property D(m). Initial pairs formed by these polynomial-derived hyperbolic numbers are extended to triples through algebraic manipulations. A recursive application then chains these triples into infinite sequences, where each subsequent triple emerges from the pair of the previous hyperbolic triple construction
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Analytic Number Theory Research
Mathematics and Applications
Publication details
- Journal / source
- International Journal of Advanced Research in Science Communication and Technology
- Pages
- 173–173
- Publication date
- 3 March 2026
- Language
- EN