9-Modularity and GCD Properties of Generalized Fibonacci Numbers

Date
Journal Title
Journal ISSN
Volume Title
Publisher
Colgate University, Charles University, DIMATIA
Análisis Numérico y Financiero: Matemáticas aplicadas para la industria
Estados Unidos
Análisis Numérico y Financiero: Matemáticas aplicadas para la industria
Estados Unidos
Abstract
Description
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
COL0106371
Keywords
Números de Fibonacci, Secuencias Fibonacci