1.6k citations
- Centre National de la Recherche ScientifiqueFR542 papers
- Aix-Marseille UniversitéFR531 papers
- Institut Polytechnique de BordeauxFR309 papers
- Centrale MéditerranéeFR279 papers
- Château GombertFR213 papers
- Institut de Mécanique et d'Ingénierie de BordeauxFR110 papers
- Université de Provence Aix-Marseille IFR33 papers
- Centre de Physique ThéoriqueFR32 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR26 papers
- Institut de Mathématiques de ToulouseFR25 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR25 papers
- École Normale Supérieure - PSLFR19 papers
4 papers · 2 filters
On Kronecker's density theorem, primitive points and orbits of matrices
Michel Laurent
We discuss recent quantitative results in connexion with Kronecker's theorem on the density of subgroups in R^n and with Dani and Raghavan's theorem on the density of orbits in the…
On the average distribution of divisors of friable numbers
Sary Drappeau
A number is said to be -friable if it has no prime factor greater than . In this paper, we prove a central limit theorem on average for the distribution of divisors of -fr…
From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules
Henri Faure, Peter Kritzer, Friedrich Pillichshammer
In 1935 J.G. van der Corput introduced a sequence which has excellent uniform distribution properties modulo 1. This sequence is based on a very simple digital construction scheme…
Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method
Sary Drappeau
We prove a bound for quintilinear sums of Kloosterman sums, with congruence conditions on the "smooth" summation variables. This generalizes classical work of Deshouillers and Iwan…