9 citations · 9 across the 2 of their papers we have counts for
2 papers
math.NT2008
Cyclic shifts of the van der Corput set
Dmitriy Bilyk
In [13], K. Roth showed that the expected value of the discrepancy of the cyclic shifts of the point van der Corput set is bounded by a constant multiple of $\sqrt{\log N…
math.CA2007★ 9 cited
On the Signed Small Ball Inequality
Dmitriy Bilyk, Michael T Lacey, Armen Vagharshakyan
This paper is a companion to our prior paper arXiv:0705.4619 on the `Small Ball Inequality in All Dimensions.' In it, we address a more restrictive inequality, and obtain a non-tri…