65 citations · 66 across the 3 of their papers we have counts for
Showing 2013 · math.NTShow all
2 papers · 2 filters
math.NT2013
Estimates of the Discrepancy Function in Exponential Orlicz Spaces
Gagik Amirkhanyan, Dmitriy Bilyk, Michael T Lacey
We prove that in all dimensions n at least 3, for every integer N there exists a distribution of points of cardinality , for which the associated discrepancy function D_N satis…
math.NT2013
Dichotomy Results for the L1 Norm of the Discrepancy Function
Gagik Amirkhanyan, Dmitriy Bilyk, Michael T Lacey
It is a well-known conjecture in the theory of irregularities of distribution that the L1 norm of the discrepancy function of an N-point set satisfies the same asymptotic lower bou…