2005/12/14 by Jung Kyu Canci, J. K. Canci, Canci, J. K.
Computer Science · Mathematics · #11G99 (Primary) 14E05 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.DS #math.NT #msc:11G99 #msc:14E05
paper · pdf · doi:10.48550/arxiv.math/0512338
13 pages. Changed content
openalex publication_date 2005/12/14 · arxiv created 2006/07/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let K be a number field and ϕ∈ K(z) a rational function. Let S be the set of all archimedean places of K and all non-archimedean places associated to the prime ideals of bad reduction for ϕ. We prove an upper bound for length of finite orbits of ϕ in ℙ1(K) depending only on the cardinality of S.