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Sum-of-digits function for certain nonstationary-bases

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Abstract

We introduce a new approach to the study of sum-of-digits functions for integral nonstationary bases and apply it to certain classical examples, namely, to the Cantor and Ostrowski number systems.

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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 240, 1997, pp. 257–267.

Supported in part by the French foundation “Pro-Mathematica.”

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Sidorov, N. Sum-of-digits function for certain nonstationary-bases. J Math Sci 96, 3609–3615 (1999). https://doi.org/10.1007/BF02175837

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  • DOI: https://doi.org/10.1007/BF02175837

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