Article citationsMore>>

Aisleitner, Ch. and Hofer, M. (2013) On the Limit Distribution of Consecutive Elements of the van der Corput Sequence. Uniform Distribution Theory, 8, 89-96.
https://math.boku.ac.at/udt/vol08/no1/08AistHofer37-11.pdf

has been cited by the following article:

• TITLE: An Asymptotic Distribution Function of the Three-Dimensional Shifted van der Corput Sequence

  AUTHORS: Jana Fialová, Ladislav Mišk, Oto Strauch

  KEYWORDS: Sequences, Arithmetic Means, Riemann-Stieltjes Integraion

  JOURNAL NAME: Applied Mathematics, Vol.5 No.15, August 19, 2014

  ABSTRACT: In this paper, we apply the Weyl's limit relation to calculate the limit ,where γq (n) is the van der Corput sequence in base q, g (x, y, z),is the asymptotic distribution function of (γq (n), γq (n +1), γq (n + 2)), and F (x, y, z) = max (x, y, z), min (x, y, z),and xyz, respectively.