Prime divisors of linear recurrences and Artin's primitive root conjecture for number fields

DOI10.5802/jtnb.323zbMath1044.11005OpenAlexW2036863404WikidataQ123356414 ScholiaQ123356414MaRDI QIDQ1826304

Hans Roskam

Publication date: 5 August 2004

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_2001__13_1_303_0

zbMATH Keywords

Artin's conjecturedensityrecurrence sequenceprime divisor

Mathematics Subject Classification ID

Recurrences (11B37) Density theorems (11R45)

Related Items (3)

Sums of primes and quadratic linear recurrence sequences ⋮ Artin's primitive root conjecture for quadratic fields ⋮ Positive lower density for prime divisors of generic linear recurrences

Cites Work

• Unnamed Item
• The set of primes dividing the Lucas numbers has density 2/3
• Prime divisors of second-order linear recurrences. I
• On Artin's conjecture and Euclid's algorithm in global fields
• Artin's primitive root conjecture for quadratic fields
• A quadratic analogue of Artin's conjecture on primitive roots.
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist
• Some empirical observations on primitive roots
• Prime divisors of second order recurring sequences
• Pseudoprimes and a generalization of Artin's conjecture
• Prime divisors of Lucas sequences
• Density of prime divisors of linear recurrences
• On Artin's conjecture.
• The Maximal Prime Divisors of Linear Recurrences
• Number of Points of Varieties in Finite Fields

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