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.