Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 2, Issue 1


Published
on


Pages

1-10


DOI

Article

Uniform Distribution of Sequences Connected With the Weighted Sum-of-Digits Function


Authors

Friedrich Pillichshammer Affiliation:
Department of Financial Mathematics and Applied Number Theory Johannes Kepler University Linz Altenbergerstr. 69 4040 Linz AUSTRIA


Abstract

In this paper we consider sequences which are connected with the so-called weighted q-ary sum-of-digits function and give an if and only if condition under which such sequences are uniformly distributed modulo one. The sequences considered here contain the q-ary van der Corput sequence as well as the (nα)- sequences as special cases.


Keywords

Uniform distribution, sum-of-digits function, weighted, additive, strongly.


Citation

Pillichshammer, F. (2007). Uniform distribution of sequences connected with the weighted sum-of-digits function. Uniform Distribution Theory, 2(1), 1–10.

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