Multiplicative functions in large arithmetic progressions and applications by G ́erald Tenenbaum - Video

We shall describe the contents of a recent joint work with
Etienne Fouvry, devoted to obtaining new Bombieri-Vinogradov type ́

estimates for a wide class of multiplicative arithmetic functions and de-
riving several applications, including: a new proof of a recent estimate

by Drappeau and Topacogullari for arithmetical correlations; a theo-
rem of Erd ̋os-Wintner type with support equal to the level set of an

additive function at shifted argument; and a law of iterated logarithm
for the distribution of prime factors of integers weighted by τ (n − 1)
where τ denotes the divisor function.