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

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.