On the separation of the roots of the generalized Fibonacci polynomial

DOI10.1016/j.indag.2023.12.002arXiv2210.16717MaRDI QIDQ6130561

Jonathan García, Florian Luca, Carlos Alexis Gómez Ruiz

Publication date: 3 April 2024

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.16717

zbMATH Keywords

polynomial root separationdistribution of roots of polynomials\(k\)-generalized Fibonacci polynomial

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• On the distance between two algebraic numbers
• An inequality for the discriminant of a polynomial
• An Inequality About Factors of Polynomials
• On the zero–multiplicity of a fifth-order linear recurrence
• On the distribution of the roots of polynomial $z^k-z^{k-1}-\dots - z-1$
• On the arguments of the roots of the generalized Fibonacci polynomial

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