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  • 1 Niigata University Department of Mathematics, Faculty of Science Ikarashi 2-8050 Niigata 950-2181 Japan
  • 2 Haus-Endt-Strasse 88 D-40593 Düsseldorf Germany
  • 3 University of Debrecen Department of Computer Science P.O. Box 12 H-4010 Debrecen Hungary
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Abstract  

The concept of a canonical number system can be regarded as a natural generalization of decimal representations of rational integers to elements of residue class rings of polynomial rings. Generators of canonical number systems are CNS polynomials which are known in the linear and quadratic cases, but whose complete description is still open. In the present note reducible CNS polynomials are treated, and the main result is the characterization of reducible cubic CNS polynomials.