On the distribution properties of Niederreiter-Halton sequences

JOURNAL OF NUMBER THEORY

卷:129

Article

Hofer, Roswitha

关键词: Uniform distribution;    Digital (T, s)-sequences;    van der Corput-Halton sequence;    Sum-of-digits function;   

DOI  :  10.1016/j.jnt.2008.05.012

来源: Elsevier

【 摘 要 】

We study the distribution properties of sequences which are a generalization of the well-known van der Corput-Halton sequence on the one hand, and digital (T, s)-sequences in the sense of Niederreiter on the other. in this paper we completely answer the question under which conditions such a sequence is uniformly distributed in the s-dimensional unit cube, by using methods based on the q-additive property of the weighted q-ary sum-of-digits function. (C) 2008 Elsevier Inc. All rights reserved.

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