A construction of pseudorandom binary sequences using both additive and multiplicative characters
A mixed Monte Carlo and quasi-Monte Carlo sequence for multidimensional integral estimation.
An Application of Shoenfield's Absoluteness Theorem to the Theory of Uniform Distribution.
Caractérisation des ensembles normaux
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...
Définition de paramètres d'équirépartition
Distribution de points sur une sphère
Distribution of points on arcs.
Équirépartition dans les séries formelles
Gaps in dense Sidon sets.
Homogeneously Distributed Sequences and Poincaré Sequences of Integers of Sublacunuary Growth.
Kloosterman sums in residue classes
We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithmetic progressions, which is of square-root strength in any fixed primitive congruence class up to bounds towards the Ramanujan conjecture.
Large families of pseudorandom binary sequences and lattices by using the multiplicative inverse
Large families of pseudorandom binary sequences and lattices are constructed by using the multiplicative inverse and estimates of exponential sums in a finite field. Pseudorandom measures of binary sequences and lattices are studied.
Measures of pseudorandomness of finite binary lattices, I. The measures , normality
Nombres transcendants et répartition modulo 1
Odometers and systems of numeration
On completely dense sequences
On -discrepancy and mixed Monte Carlo and quasi-Monte Carlo sequences.
On (..., k)-Normal Words in Connecting Dynamical Systems.
On linear recursion and pseudorandomness