Abstract
Let F be a field and f(X)F[X]. An element P of F is called a (pre)periodic point of f if the sequence P, f(P), f(f(P)), … is (eventually) periodic. In the case where F is a function field of characteristic p>0 and f(X)=aXq+bX or f(X)=aXq2+bXq+cX with q a power of p, we try to give effective upper bounds (depending only on q and F) for the number of (pre)periodic points of f in F.
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