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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