9-Modularity and GCD Properties of Generalized Fibonacci Numbers

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 tw...

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Autores:
Floréz, Rigoberto
Higuita Díaz, Robinson Alexander
Junes, Leandro
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/20362
Acceso en línea:
http://hdl.handle.net/10495/20362
http://math.colgate.edu/~integers/o55/o55.pdf
Palabra clave:
Números de Fibonacci
Secuencias Fibonacci
Rights
openAccess
License
http://creativecommons.org/licenses/by/2.5/co/
Description
Summary: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.

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