20 citations · 185 across the 45 of their papers we have counts for
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math.NT2012
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<…
math.CO2012★ 9 cited
Proof of Brlek-Reutenauer conjecture
Lubomira Balkova, Edita Pelantova, Stepan Starosta
Brlek and Reutenauer conjectured that any infinite word u with language closed under reversal satisfies the equality 2D(u) = \sum_{n=0}^{\infty}T_u(n) in which D(u) denotes the def…
math.NT2012
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…