2 citations · 6 across the 16 of their papers we have counts for
5 papers · 1 filter
On strong and almost sure local limit theorems for a probabilistic model of the Dickman distribution
Régis de la Bretèche, Gérald Tenenbaum
Let denote a sequence of independent Bernoulli random variables defined by and put $T_n:=\su…
Remarks on the Selberg--Delange method
Régis de la Bretèche, Gérald Tenenbaum
Let be a complex number and let be a multiplicative arithmetic function whose Dirichlet series takes the form , where is associated to a multip…
The saddle-point method for general partition functions
Gregory Debruyne, Gérald Tenenbaum
We apply the saddle-point method to derive asymptotic estimates or asymptotic series for the number of partitions of a natural integer into parts chosen from a subset of the positi…
Multiplicative functions in large arithmetic progressions and applications
Étienne Fouvry, Gérald Tenenbaum
We establish new Bombieri-Vinogradov type estimates for a wide class of multiplicative arithmetic functions and derive several applications, including: a new proof of a recent esti…
Effective Erd\H os--Wintner theorems
Gérald Tenenbaum, Johann Verwee
The classical theorem of Erd\H os \& Wintner furnishes a criterion for the existence of a limiting distribution for a real, additive arithmetical function. This work is devoted to…