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Addition and multiplication of beta-expansions in generalized Tribonacci base

We study properties of β-numeration systems, where β > 1 is the real root of the polynomial x3 - mx2 - x - 1, m ∈ ℕ, m ≥ 1. We consider arithmetic operations on the set of β-integers, i.e., on the set of numbers whose greedy expansion in base β has no fractional part. We show that the number of frac...

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Ngā kaituhi matua: Petr Ambrož, Zuzana Masáková, Edita Pelantová
Hōputu: Artigo
Reo:Inglês
I whakaputaina: Discrete Mathematics & Theoretical Computer Science 2007-01-01
Rangatū:Discrete Mathematics & Theoretical Computer Science
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Urunga tuihono:https://dmtcs.episciences.org/394/pdf
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