Gérald Tenenbaum

Affiliation: Université de Lorraine

Email: gerald.tenenbaum@univ-lorraine.fr; gerald.ten@free.fr

Title Of Talk: Effective mean-value estimates for complex multiplicative functions

Abstract: New, effective mean-value estimates for a fairly wide class of complex multiplicative arithmetic functions will be described. These provide (essentially optimal) quantitative versions of Wirsing's classical estimates and extend those of Halász. Several applications will be briefly presented, including: estimates for the difference of mean-values of so-called pretentious fonctions; local laws for the distribution of prime factors in an arbitrary set, and weighted distribution of additive functions.

Last update made Tue Feb 16 10:37:05 PST 2016.
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