Bounded remainder sets
Boundedly expressible sets
For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved.
Bounding the maximum value of the real-valued sequence.
Bounds for digital nets and sequences
Bounds for exponential sums and their applications to pseudorandom numbers
Bounds for the average -extreme and the -extreme discrepancy.
Bounds for the discrete correlation of infinite sequences on k symbols and generalized Rudin-Shapiro sequences
BV coboundaries over irrational rotations
For every irrational rotation we construct a coboundary which is continuous except at a single point where it has a jump, is nondecreasing, and has zero derivative almost everywhere.
-uniform distribution of entire functions
Calculation of improper integrals using uniformly distributed sequences
Cantor series constructions of sets of normal numbers
Capacity of Sets and Uniform Distribution of Sequences.
Caractérisation des ensembles normaux
Caractérisation des ensembles normaux
Caractérisation des ensembles normaux dans Z. Erratum
Caractérisation des ensembles normaux substitutifs.
Cesàro means related to the square of the divisor function
Characterizations of groups generated by Kronecker sets
In recent years, starting with the paper [B-D-S], we have investigated the possibility of characterizing countable subgroups of the torus by subsets of . Here we consider new types of subgroups: let be a Kronecker set (a compact set on which every continuous function can be uniformly approximated by characters of ), and the group generated by . We prove (Theorem 1) that can be characterized by a subset of (instead of a subset of ). If is finite, Theorem 1 implies our earlier result...
Comparing the distribution of (nα)-sequences
Complex dimensions of self-similar fractal strings and Diophantine approximation.