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Bulletin of the London Mathematical Society Advance Access originally published online on February 27, 2009
Bulletin of the London Mathematical Society 2009 41(2):302-314; doi:10.1112/blms/bdp003
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© 2009 London Mathematical Society

Minimal polynomial dynamics on the set of 3-adic integers

Fabien Durand and Frédéric Paccaut

Laboratoire Amiénois de Mathématiques Fondamentales et Appliquées
Université de Picardie Jules Verne
CNRS-UMR 6140
33 rue Saint Leu
80039 Amiens cedex 01
France
frederic.paccaut@u-picardie.fr

Received 5 June 2008. Revision received 13 November 2008.

In this paper, the polynomials that have all of their orbits dense in the set of 3-adic integers Z3 are characterized in terms of their coefficients.

2000 Mathematics Subject Classification 37E99 (primary), 11S85 (secondary).


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