On the discrepancy of distances of points from a finite sequence
On the mean square weighted ℒ₂ discrepancy of randomized digital (t,m,s)-nets over ℤ₂
On the one-sided boundedness of discrepancy function of the sequence {nα}
On the problem
On the sets of uniqueness of a distribution function of {ξ(p/q)ⁿ}
On the Star-Discrepancy of Generalized Hammersley Sequences in Two Dimensions.
On the Uniform (mod 1) of the Farey Fractions and lP Spaces.
On the uniform ε-distribution of residues within the periods of rational fractions with applications to normal numbers
On Uniform Distribution of Double Sequences.
On uniform distribution of sequences
Optimal 𝓛₂ discrepancy bounds for higher order digital sequences over the finite field 𝔽₂
Optimal bounds for exponential sums in terms of discrepancy
Optimale Koeffizienten bezüglich zusammengesetzter Zahlen.
Original title unknown
Pair correlation of lattice points with prime constraint
Partial densities on the group of integers
Conditions are obtained under which a partial density on the group of integers with the discrete topology can be extended to a density.
Parties d'ensembles B-Normaux.
Periodic, Multiplicative Number-Theoretical Functions.
Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences
We are interested in permutations preserving certain distribution properties of sequences. In particular we consider -uniformly distributed sequences on a compact metric space , 0-1 sequences with densities, and Cesàro summable bounded sequences. It is shown that the maximal subgroups, respectively subsemigroups, of leaving any of the above spaces invariant coincide. A subgroup of these permutation groups, which can be determined explicitly, is the Lévy group . We show that is big in the...
Point Sets and Sequences with Small Discrepancy.