7 citations · 16 across the 8 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
math.NT2017★ 3 cited
Periodic representations in algebraic bases
Vítězslav Kala, Tomáš Vávra
We study periodic representations in number systems with an algebraic base (not a rational integer). We show that if has no Galois conjugate on the unit circle, then there…
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…