Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 30, pp. 1-15 (2014)

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On canonical representatives of small integers

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Horst Brunotte

Düsseldorf

**Abstract:** Some elementary facts on canonical representations of small rational integers are listed and a reformulation of a characterization of a certain class of CNS polynomials is presented. Furthermore, several examples in support of a conjecture of S. Akiyama on the canonical representative of -1 are provided.

**Keywords:** canonical numeration system, radix representation

**Classification (MSC2000):** 11A63; 12D99, 03D45

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