most citedArithmetics in numeration systems with negative quadratic base

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

math.NT2018

Periodic representations in Salem bases

Tomáš Vávra

We prove that all algebraic bases allow an eventually periodic representations of the elements of with a finite alphabet of digits . Moreover, the cl…

math.NT2010★ 2 cited

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…