4 citations · 4 across the 5 of their papers we have counts for
7 papers
Répartition conjointe de trois nombres premiers et applications
Régis de la Bretèche
We prove asymptotic results for the singular series associated to the distribution of three primes. Assuming a quantitative version of Hardy and Littlewood's conjecture on prime 3-…
Remarques sur une somme liée à la fonction de Möbius
Régis de la Bretèche, François Dress, Gérald Tenenbaum
For integer and real number , define where denotes the Möbius function. Put ${\cal L}(y):=\exp\left\{(\log…
Somme des chiffres et changement de base
Régis de la Bretèche, Thomas Stoll, Gérald Tenenbaum
Let denote the sum of digits of an integer in the base expansion. Answering, in a extended form, a question of Deshouillers, Habsieger, Laishram, and Landreau, we…
Inégalité de Turán-Kubilius friable et indépendance asymptotique
Régis de la Bretèche, Youness Lamzouri, Gérald Tenenbaum
Elaborating on previous works and taking advantage of estimates on the local behaviour of the counting function of friable integers, we determine the optimal range in which the fri…
Entiers friables dans des progressions arithmétiques de grand module
Régis de la Bretèche, Daniel Fiorilli
We study the average error term in the usual approximation to the number of -friable integers congruent to modulo , where is a fixed integer. We show that in th…
Contre-exemples au principe de Hasse pour certains tores coflasques
R. de la Bretèche, T. D. Browning
We use an explicit description of the Brauer-Manin obstruction, recently obtained by Colliot-Thélène, to study the density of varieties in a certain family which do not satisfy the…