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Advanced Mathematical Theories and ApplicationsAdvanced Combinatorial MathematicsAdvanced Mathematical Identities

On a conjecture by Peth\H{o} concerning absolute values of roots of generalized Fibonacci polynomials

F. Luca, Diego Marques

2026.1.1PUBLICATIONES MATHEMATICAE DEBRECEN

DOI: 10.5486/pmd.2026.10316

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.

Citation format

LUCA, F.; MARQUES, Diego. On a conjecture by peth\h{o} concerning absolute values of roots of generalized fibonacci polynomials. PUBLICATIONES MATHEMATICAE DEBRECEN, 2026, 108(1-2): 197–200.