QUADRATIC RECURRENCES WITH A POSITIVE DENSITY OF PRIME DIVISORS

DOI10.1142/S1793042110003368zbMath1244.11014MaRDI QIDQ4929866

Kwokfung Tang, Richard Gottesman

Publication date: 24 September 2010

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

zbMATH Keywords

integer sequencesGalois theoryarithmetic dynamicsChebotarev density theorem

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Recurrences (11B37) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (8)

The arithmetic basilica: a quadratic PCF arboreal Galois group ⋮ Dynamical Belyi maps and arboreal Galois groups ⋮ On arboreal Galois representations of rational functions ⋮ On 2-adic Lie iterated extensions of number fields arising from a Joukowski map ⋮ A large arboreal Galois representation for a cubic postcritically finite polynomial ⋮ On iterated extensions of number fields arising from quadratic polynomial maps ⋮ Markov processes and some PCF quadratic polynomials ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

• On a distribution property of the residual order of \(a\pmod p\). I
• 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 gerader bzw. ungerader Ordnung \(\mod p\) ist
• The density of prime divisors in the arithmetic dynamics of quadratic polynomials
• Galois theory of iterated endomorphisms

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