Iterations of Integer Polynomial Maps Modulo Primes
Alexander Borisov
Department of Mathematics
University of Pittsburgh
301 Thackeray Hall
Pittsburgh, PA 15260
USA
Abstract:
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.
Full version: pdf,
dvi,
ps,
latex
Received May 4 2013;
revised version received August 4 2013; September 1 2013.
Published in Journal of Integer Sequences, October 12 2013.
Return to
Journal of Integer Sequences home page
