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- W2055470891 abstract "The well-known binary and decimal representations of the integers, and other similar number systems, admit many generalisations. Here, we investigate whether still every integer could have a finite expansion on a given integer base b, when we choose a digit set that does not contain 0. We prove that such digit sets exist and we provide infinitely many examples for every base b with |b|⩾4, and for b=−2. For the special case b=−2, we give a full characterisation of all valid digit sets." @default.
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- W2055470891 date "2008-11-01" @default.
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- W2055470891 title "Noncanonical number systems in the integers" @default.
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- W2055470891 doi "https://doi.org/10.1016/j.jnt.2008.02.012" @default.
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