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

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http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48885#.VDcwKVfHRK0

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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