Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673287 | Indagationes Mathematicae | 2007 | 12 Pages |
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.
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