Finite orbits for rational functions
Canci, J. K.
Original · EN
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.
English translation
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