Prime divisors in polynomial orbits over function fields

2015/04/30 by Wade Hindes, Hindes, Wade
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1504.08334

arxiv created 2015/04/30 · arxiv updated 2015/05/01

Abstract

Given a polynomial ϕ over a global function field K and a wandering base point b∈ K, we give a geometric condition on ϕ ensuring the existence of primitive prime divisors for almost all points in the orbit O_ϕ(b):=\ϕⁿ(b)\_n≥0

Related

• Construction of Polynomials with prescribed divisibility conditions on the critical orbit
• Greatest Prime Divisors of Polynomial Values over Function Fields
• Primitive prime divisors in the forward orbit of a polynomial
• Primitive prime divisors in zero orbits of polynomials
• Polynomial dynamics and local analysis of small and grand orbits