On numbers n dividing the nth term of a Lucas sequence

DOI10.1142/S1793042117500373zbMath1416.11029WikidataQ114072000 ScholiaQ114072000MaRDI QIDQ2969722

Carlo Sanna

Publication date: 23 March 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

divisibilityLucas sequence\(p\)-adic valuationrank of apparition

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Distribution of integers with specified multiplicative constraints (11N25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (13)

Index divisibility in the orbit of 0 for integral polynomials ⋮ 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 ⋮ 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 Diophantine equations involving Lucas sequences ⋮ 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

• The Distribution of Self-Fibonacci Divisors
• The Period, Rank, and Order of the (a, b)-Fibonacci Sequence Mod m
• On numbers n dividing the nth term of a linear recurrence
• The Distribution of Lucas and Elliptic Pseudoprimes
• My Numbers, My Friends
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