AM  Vol.5 No.15 , August 2014
An Asymptotic Distribution Function of the Three-Dimensional Shifted van der Corput Sequence
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.


Cite this paper
Fialová, J. , Mišk, L. and Strauch, O. (2014) An Asymptotic Distribution Function of the Three-Dimensional Shifted van der Corput Sequence. Applied Mathematics, 5, 2334-2359. doi: 10.4236/am.2014.515227.
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