7 citations · 10 across the 4 of their papers we have counts for
4 papers
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…
On the spectra of Pisot-cyclotomic numbers
Kevin G. Hare, Zuzana Masáková, Tomáš Vávra
We investigate the complex spectra \[ X^{\mathcal A}(β)=\left\{\sum_{j=0}^na_jβ^j : n\in{\mathbb N},\ a_j\in{\mathcal A}\right\} \] where is a quadratic or cubic Pisot-cyclotom…
On the Finiteness property of negative cubic Pisot bases
Tomáš Vávra
We study arithmetical aspects of Ito-Sadahiro number systems with negative base. We show that the bases , where is zero of possess the s…
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…