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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
##### Keywords:
pseudorandom sequences; Erdős gap condition; discrepancy
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