Abstract.
We find necessary and sufficient conditions for the regularity of greedy representations of the natural numbers. The proof relies on the periodicity properties of digit expansions with nonintegral bases.
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Received July 1995, and in final form August 1997.
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Hollander, M. Greedy Numeration Systems and Regularity . Theory Comput. Systems 31, 111–133 (1998). https://doi.org/10.1007/s002240000082
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DOI: https://doi.org/10.1007/s002240000082