T. Vávra

activity

20102018

most citedArithmetics in number systems with negative base

7 citations · 16 across the 8 of their papers we have counts for

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math.CO2014★ 3 cited

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 $- β < - 1$ , where $β$ is zero of $x^{3} - m x^{2} - m x - m, m \in N,$ possess the s…

math.CO2014

Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems

Daniel Dombek, Zuzana Masáková, Tomáš Vávra

In this paper we study the expansions of real numbers in positive and negative real base as introduced by Rényi, and Ito & Sadahiro, respectively. In particular, we compare the set…