Journal of Integer Sequences, Vol. 16 (2013), Article 13.8.3

Iterations of Integer Polynomial Maps Modulo Primes

Alexander Borisov
Department of Mathematics
University of Pittsburgh
301 Thackeray Hall
Pittsburgh, PA 15260


In this elementary note we discuss some questions related to the behavior of iterations of polynomial maps with integer coefficients modulo primes. In particular, we introduce three examples of such maps that have interesting dynamical properties. Several open questions are stated and discussed.

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Received May 4 2013; revised version received August 4 2013; September 1 2013. Published in Journal of Integer Sequences, October 12 2013.

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