In this paper we compare the $LS$-sequences with $L=S\ge 1$ recently introduced by the author, with $L\gamma + L\gamma^2=1$ and $\gamma \in [0,1[$, and the $\beta$-adic van der Corput sequences of degree $2$ whose characteristic polynomial is $x^2-Lx-L$, where $\beta=1/{\gamma}$. In particular, when $L=S=1$ the two sequences coincides, when $L=S\ge 2$ the two sequences can be obtained from each other by a permutation.

Comparison between LS-Sequences and beta-adic van der Corput Sequences

Abstract

In this paper we compare the $LS$-sequences with $L=S\ge 1$ recently introduced by the author, with $L\gamma + L\gamma^2=1$ and $\gamma \in [0,1[$, and the $\beta$-adic van der Corput sequences of degree $2$ whose characteristic polynomial is $x^2-Lx-L$, where $\beta=1/{\gamma}$. In particular, when $L=S=1$ the two sequences coincides, when $L=S\ge 2$ the two sequences can be obtained from each other by a permutation.
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978-3-319-33507-0
Uniform distribution; Discrepancy; Numeration systems
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/173851
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