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manuscripta mathematica

, Volume 113, Issue 1, pp 25–34 | Cite as

On periodic points under the iteration of additive polynomials

  • Andreas SchweizerEmail author
Article
  • 77 Downloads

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)=aX q +bX or f(X)=aX q 2+bX q +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.

Keywords

Periodic Point Function Field Additive Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Korea Institute for Advanced Study (KIAS)Korea

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