9-Modularity and GCD Properties of Generalized Fibonacci Numbers

Floréz, Rigoberto; Higuita Díaz, Robinson Alexander; Junes, Leandro

info:eu-repo/semantics/article

Registro en:

http://hdl.handle.net/10495/20362

1553-1732

http://math.colgate.edu/~integers/o55/o55.pdf

Autor

Floréz, Rigoberto

Higuita Díaz, Robinson Alexander

Junes, Leandro

Institución

Universidad de Antioquia (Colombia)

Resumen

ABSTRACT: We study 9-modularity properties of generalized Fibonacci numbers that give rise to well-known quasigroups. In this paper we also study GCD and divisibility properties of generalized Fibonacci numbers. This study includes necessary and su cient conditions to determine whether the GCD of two generalized Fibonacci numbers is a regular Fibonacci number.

COL0106371

Materias

Números de Fibonacci

Secuencias Fibonacci

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