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

Canonical watch page: https://twitch-nude.com/watch/multiplicative-functions-in-large-arithmetic-progressions-and-applications-by-g-erald-tenenbaum-v21806

Language: en

Published: 2021-04-07T10:53:46+00:00

Source creator: matsciencechannel

Duration: 3981 seconds

## Description

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.

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