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    Finite beta-expansions with negative bases

    The finiteness property is an important arithmetical property of beta-expansions. We exhibit classes of Pisot numbers β having the negative finiteness property, that is the set of finite (−β)-expansions is equal...

    Z. Krčmáriková, W. Steiner, T. Vávra in Acta Mathematica Hungarica (2017)