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Metric theorems for distribution measures of pseudorandom sequences. (English) Zbl 1033.11039
The authors improve on recent results of C. Mauduit and A. Sárkőzy [Monatsh. Math. 130, 281–298 (2000; Zbl 1011.11054)] on measures of randomness of sequences of the form \(\chi(n_k \omega)\), where \(\chi\) is the characteristic function of an interval and \((n_k)_k\) is an increasing sequence of integers.

MSC:
11K45 Pseudo-random numbers; Monte Carlo methods
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