On the largest prime factor of the ratio of two generalized Fibonacci numbers

Autor:	Florian Luca, Carlos Alexis Gómez Ruiz
Rok vydání:	2015
Předmět:	Discrete mathematics Combinatorics Primefree sequence Algebra and Number Theory Fibonacci number Lucas number Prime factor Fibonacci polynomials Reciprocal Fibonacci constant Pisano period Fibonacci prime Mathematics
Zdroj:	Journal of Number Theory. 152:182-203
ISSN:	0022-314X
DOI:	10.1016/j.jnt.2014.11.017
Popis:	A generalization of the well-known Fibonacci sequence is the k-generalized Fibonacci sequence ( F n ( k ) ) n ≥ 2 − k for some integer k ≥ 2 , whose first k terms are 0 , … , 0 , 1 and each term afterwards is the sum of the preceding k terms. In this paper, we look at the prime factors of the reduced rational number F n ( k ) / F m ( l ) as max ⁡ { m , n , k , l } tends to infinity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7563dc8dbfb40192b8ce432fc47ec6bb https://doi.org/10.1016/j.jnt.2014.11.017 Zobrazit plný text záznamu Full Text from ScienceDirect