The Distribution of Self-Fibonacci Divisors

DOI10.1007/978-1-4939-3201-6_6zbMath1390.11119arXiv1410.2489OpenAlexW1438561560MaRDI QIDQ2808221

Florian Luca, Emanuele Tron

Publication date: 20 May 2016

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2489

zbMATH Keywords

divisorFibonacci numbers

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

The moments of the logarithm of a G.C.D. related to Lucas sequences ⋮ Distribution of integral values for the ratio of two linear recurrences ⋮ Greatest common divisors of shifted primes and Fibonacci numbers ⋮ On the greatest common divisor of n and the nth Fibonacci number, II ⋮ On numbers \(n\) relatively prime to the \(n\)th term of a linear recurrence ⋮ On numbers n dividing the nth term of a Lucas sequence ⋮ Central binomial coefficients divisible by or coprime to their indices ⋮ ON NUMBERS WITH POLYNOMIAL IMAGE COPRIME WITH THE TH TERM OF A LINEAR RECURRENCE ⋮ The density of numbers \(n\) having a prescribed G.C.D. with the \(n\)th Fibonacci number ⋮ On the greatest common divisor of \(n\) and the \(n\)th Fibonacci number ⋮ An upper bound for the moments of a GCD related to Lucas sequences ⋮ The density of the terms in an elliptic divisibility sequence having a fixed G.C.D. with their indices

Cites Work

• Approximate formulas for some functions of prime numbers
• On numbers n dividing the nth term of a linear recurrence
• The Distribution of Lucas and Elliptic Pseudoprimes
• On the Distribution of Pseudoprimes
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