Authors:Shigeki Akiyama, Horst Brunotte, and Attila Pethő
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.