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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 28, No. 2, pp. 91-94 (2012)
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Characterization of semi-CNS polynomials

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Horst Brunotte

Germany

**Abstract:** Semi-CNS polynomials are monic polynomials with integer coefficients which are related to natural generalizations of the classical decimal representation of the rational integers to algebraic integers. We characterize semi-CNS polynomials of arbitrary degrees thereby extending known results on cubic and irreducible semi-CNS polynomials.

**Keywords:** canonical number system, CNS polynomial, positive finiteness

**Classification (MSC2000):** 11A63; 11R04,11R21,12D99

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