Divisibility properties of the Fibonacci entry point

DOI10.1090/S0002-9939-2014-12269-6zbMath1309.11012arXiv1212.6221MaRDI QIDQ3190382

Paul Cubre, Jeremy Rouse

Publication date: 17 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6221

Mathematics Subject Classification ID

Galois theory (11R32) Global ground fields in algebraic geometry (14G25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (11)

Exact divisibility by powers of the integers in the Lucas sequence of the first kind ⋮ Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds ⋮ On the divisibility of the rank of appearance of a Lucas sequence ⋮ Greatest common divisors of shifted primes and Fibonacci numbers ⋮ On the greatest common divisor of n and the nth Fibonacci number, II ⋮ The density of primes dividing a term in the Somos-5 sequence ⋮ Zigzag polynomials, Artin's conjecture and trinomials ⋮ On the index of appearance of a Lucas sequence ⋮ On the greatest common divisor of \(n\) and the \(n\)th Fibonacci number ⋮ Exact divisibility by powers of the Pell and associated Pell numbers ⋮ The density of the terms in an elliptic divisibility sequence having a fixed G.C.D. with their indices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On primes \(p\) for which \(d\) divides \(\text{ord}_p(g)\)
• The set of primes dividing the Lucas numbers has density 2/3
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von durch eine vorgegebene Primzahl \(l\neq 2\) teilbarer bzw. unteilbarer Ordnung \(\mod p\) ist
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist
• Galois theory of iterated endomorphisms
• New directions in cryptography
• Density of prime divisors of linear recurrences

This page was built for publication: Divisibility properties of the Fibonacci entry point