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 x 3  - mx 2  - x - 1, m ∈ ℕ, m ≥ 1. We consider arithmetic operations on the set of β-integers, i.e., on the set of num...
Main Authors: | Petr Ambrož, Zuzana Masáková, Edita Pelantová |
---|---|
Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2007-05-01
|
Series: | Discrete Mathematics & Theoretical Computer Science |
Online Access: | http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/650 |
Similar Items
-
Infinite special branches in words associated with beta-expansions
by: Christiane Frougny, et al.
Published: (2007-05-01) -
Tribonacci and Tribonacci-Lucas Sedenions
by: Yüksel Soykan
Published: (2019-01-01) -
ITINERARIES INDUCED BY EXCHANGE OF TWO INTERVALS
by: Zuzana Masáková, et al.
Published: (2013-10-01) -
On the Bicomplex Generalized Tribonacci Quaternions
by: Can Kızılateş, et al.
Published: (2019-01-01) -
Quadratic Approximation of Generalized Tribonacci Sequences
by: Cerda-Morales Gamaliel
Published: (2018-12-01)