Article ID Journal Published Year Pages File Type
4673287 Indagationes Mathematicae 2007 12 Pages PDF
Abstract

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 the length of finite orbits for φ in ℙ1 (K) depending only on the cardinality of S.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)