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math.NT2017
Finite beta-expansions with negative bases
Zuzana Krčmáriková, Wolfgang Steiner, Tomáš Vávra
The finiteness property is an important arithmetical property of beta-expansions. We exhibit classes of Pisot numbers having the negative finiteness property, that is the set o…
math.NT2010★ 7 cited
Arithmetics in number systems with negative base
Z. Masáková, E. Pelantová, T. Vávra
We study the numeration system with negative basis, introduced by Ito and Sadahiro. We focus on arithmetic operations in the set and of numbers having fin…