7 citations · 28 across the 22 of their papers we have counts for
6 papers · 1 filter
Integers in number systems with positive and negative quadratic Pisot base
Zuzana Masáková, Tomáš Vávra
We consider numeration systems with base and , for quadratic Pisot numbers and focus on comparing the combinatorial structure of the sets and of number…
Optimal number representations in negative base
Zuzana Masáková, Edita Pelantová
For a given base and a digit set we consider optimal representations of a number , as defined by Dajani at al. in 2012. For a non-integer negative base $γ=-β<…
Purely periodic expansions in systems with negative base
Zuzana Masáková, Edita Pelantová
We study the question of pure periodicity of expansions in the negative base numeration system. In analogy of Akiyama's result for positive Pisot unit base , we find a sufficien…
Arithmetics in numeration systems with negative quadratic base
Z. Masáková, T. Vávra
We consider positional numeration system with negative base , as introduced by Ito and Sadahiro. In particular, we focus on arithmetical properties of such systems when is…
Ito-Sadahiro numbers vs. Parry numbers
Zuzana Masáková, Edita Pelantová
We consider positional numeration system with negative base, as introduced by Ito and Sadahiro. In particular, we focus on algebraic properties of negative bases for which the…
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…