Quantitative rearrangement theorems
Optimale Koeffizienten bezüglich zusammengesetzter Zahlen.
A Best Lower Bound for Good Lattice Points.
On the Distribution of Sequences Connected with Good Lattice Points.
On the Distribution of Sequences connected with Digit-Representation.
Metric results on the approximation of zero by linear combinations of independent and of dependent rationals.
Corrigendum to the paper "On the distribution of s-dimensional Kronecker sequences" Acta Arith. 51 (1988), 335-347
Nets obtained from rational functions over finite fields
On the distribution of s-dimensional Kronecker-sequences
A bound for the discrepancy of digital nets and its application to the analysis of certain pseudo-random number generators
Kronecker-type sequences and nonarchimedean diophantine approximations
Some number-theoretical properties of generalized sum-of-digit functions
On existence and discrepancy of certain digital Niederreiter-Halton sequences
On functions with bounded remainder
Let be a von Neumann-Kakutani - adic adding machine transformation and let . Put We study three questions: 1. When will be bounded? 2. What can be said about limit points of 3. When will the skew product be ergodic on
On the discrepancy of sequences associated with the sum-of-digits function
If denotes the sequence of best approximation denominators to a real , and denotes the sum of digits of in the digit representation of to base , then for all irrational, the sequence is uniformly distributed modulo one. Discrepancy estimates for the discrepancy of this sequence are given, which turn out to be best possible if has bounded continued fraction coefficients.
Page 1