The asymptotic distribution function of the 4-dimensional shifted van der corput sequence

[1] AISLEITNER, CH.-HOFER, M.: On the limit distribution of consecutive elements of the van der Corput sequence, Unif. Distrib. Theory 8 (2013), 89-96.Search in Google Scholar

[2] FIALOVÁ, J.-MIŠÍK, L.-STRAUCH, O.: An asymptotic distribution functions of the three-dimensional shifted van der Corput sequence, Appl. Math. 5 (2014), 2334-2359, http://dx.doi.org/10.4236/am.2014.51522710.4236/am.2014.515227Search in Google Scholar

[3] FIALOVÁ, J.-STRAUCH, O.: On two-dimensional sequences composed of one-dimensional uniformly distributed sequences, Unif. Distrib. Theory 6 (2011), 101-125.Search in Google Scholar

[4] STRAUCH, O.: Unsolved Problems, Tatra Mt. Math. Publ. 56 (2013), 109-229.Search in Google Scholar

[5] KUIPERS, L.-NIEDERREITER, H.: Uniform Distribution of Sequences, in: Pure Appl. Math. (N.Y.), John Wiley, New York, 1974 (reprint ed. published by Dover Publ., Inc. Mineola, New York, 2006).Search in Google Scholar

[6] DRMOTA, M.-TICHY, R. F.: Sequences, Discrepancies and Applications. Springer Verlag, Berlin, 1997.10.1007/BFb0093404Search in Google Scholar

[7] STRAUCH, O.-PORUBSKÝ, Š.: Distribution of Sequences: A Sampler. Peter Lang, Frankfurt am Main, 2005, https://math.boku.ac.at/udt Search in Google Scholar