The Density of Primes in Orbits of zd+c

DOI10.1093/imrn/rnt349zbMath1395.11128arXiv1303.6513OpenAlexW2035670594MaRDI QIDQ5249704

Kalyani Madhu, Rafe Jones, Spencer Hamblen

Publication date: 11 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6513

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Density theorems (11R45) Polynomials (irreducibility, etc.) (11R09)

Related Items (16)

Iterates of generic polynomials and generic rational functions ⋮ Average Zsigmondy sets, dynamical Galois groups, and the Kodaira-Spencer map ⋮ Fixed point proportions for Galois groups of non-geometric iterated extensions ⋮ Eventually stable quadratic polynomials over \(\mathbb{Q}\) ⋮ Eventually stable rational functions ⋮ Galois groups of some iterated polynomials over cyclotomic extensions ⋮ Backward orbits of critical points ⋮ Stability of certain higher degree polynomials ⋮ The 𝐴𝐵𝐶-Conjecture implies uniform bounds on dynamical Zsigmondy sets ⋮ A note on Misiurewicz polynomials ⋮ Prime divisors in polynomial orbits over function fields ⋮ Arboreal Representations for Rational Maps with Few Critical Points ⋮ Finite index theorems for iterated Galois groups of cubic polynomials ⋮ Classifying Galois groups of small iterates via rational points ⋮ Current trends and open problems in arithmetic dynamics ⋮ On the orbit of a post-critically finite polynomial of the form \(x^d+c\)

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