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Cyclic shifts of the van der Corput set

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 نشر من قبل Dmitriy Bilyk
 تاريخ النشر 2008
  مجال البحث
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 تأليف Dmitriy Bilyk




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In [13], K. Roth showed that the expected value of the $L^2$ discrepancy of the cyclic shifts of the $N$ point van der Corput set is bounded by a constant multiple of $sqrt{log N}$, thus guaranteeing the existence of a shift with asymptotically minimal $L^2$ discrepancy, [11]. In the present paper, we construct a specific example of such a shift.



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