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On the separation of the roots of the generalized Fibonacci polynomial

Jonathan García, Carlos A. Gómez, Florian Luca

We prove some separation results for the roots of the generalized Fibonacci polynomials and their absolute values

math.NT2022

Identities for the k-generalized Fibonacci sequence with negative indices and its zero-multiplicity

J. García, C. A. Gómez, F. Luca

In this paper, we prove identities for members of the k-generalized Fibonacci sequence with negative indices and we apply these identities to deduce an exact formula for its zero-m…