Primitive Prime Divisors in the Critical Orbit of zd+c

DOI10.1093/imrn/rns213zbMath1329.11020arXiv1203.2555OpenAlexW2963053383MaRDI QIDQ3463664

Holly Krieger

Publication date: 19 January 2016

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

Full work available at URL: https://arxiv.org/abs/1203.2555

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Special sequences and polynomials (11B83) Primes (11A41) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (16)

Stochastic canonical heights ⋮ Multiplicative Dependence Among Iterated Values of Rational Functions Modulo Finitely Generated Groups ⋮ Average Zsigmondy sets, dynamical Galois groups, and the Kodaira-Spencer map ⋮ Squarefree doubly primitive divisors in dynamical sequences ⋮ \(ABC\) implies a Zsigmondy principle for ramification ⋮ Portraits of preperiodic points for rational maps ⋮ Diophantine approximation and primitive prime divisors in random iterations ⋮ Stability of certain higher degree polynomials ⋮ The 𝐴𝐵𝐶-Conjecture implies uniform bounds on dynamical Zsigmondy sets ⋮ Prime divisors in polynomial orbits over function fields ⋮ Finite index theorems for iterated Galois groups of cubic polynomials ⋮ Unnamed Item ⋮ Primitive prime divisors in the critical orbits of one-parameter families of rational polynomials ⋮ Riccati equations and polynomial dynamics over function fields ⋮ Current trends and open problems in arithmetic dynamics ⋮ Primitive prime divisors in backward orbits

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