On the prime density of Lucas sequences

DOI10.5802/jtnb.181zbMath0873.11058OpenAlexW2087342790MaRDI QIDQ679108

Pieter Moree

Publication date: 30 October 1997

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1996__8_2_449_0

zbMATH Keywords

real quadratic fieldprime density of Lucas sequences

Mathematics Subject Classification ID

Quadratic extensions (11R11) Density, gaps, topology (11B05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Counting monic irreducible polynomials \(P\) in \(\mathbb F_q[X\) for which order of \(X\pmod P\) is odd] ⋮ On the divisibility of the rank of appearance of a Lucas sequence ⋮ Positive lower density for prime divisors of generic linear recurrences

Cites Work

• Unnamed Item
• Unnamed Item
• The set of primes dividing the Lucas numbers has density 2/3
• A conjecture of Krishnamurthy on decimal periods and some allied problems
• Counting divisors of Lucas numbers
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist
• Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. (Arithmetic theory of normal fields of 2-power degree with dihedral group)
• On the density of some sets of primes, IV
• The Number of Real Quadratic Fields Having Units of Negative Norm
• Density of prime divisors of linear recurrences

This page was built for publication: On the prime density of Lucas sequences