On a conjecture by Peth\H{o} concerning absolute values of roots of generalized Fibonacci polynomials
Abstract
In this note, we confirm a conjecture raised by Peth\H{o} (in 2021), which states that the absolute values of the roots of two distinct generalized Fibonacci polynomials are distinct.
Fields of Study & Subjects
Mathematical functions and polynomials
Algebraic Geometry and Number Theory
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Publicationes Mathematicae Debrecen
- Volume
- 108
- Issue
- 1-2
- Pages
- 197–200
- Publication date
- 1 January 2026