Valeurs moyennes effectives de fonctions multiplicatives complexes

Gérald Tenenbaum 1
1 Analyse
IECL - Institut Élie Cartan de Lorraine
Abstract : We establish effective mean-value estimates for a wide class of multiplicative arithmetic functions, thereby providing (essentially optimal) quantitative versions of Wirsing's classical estimates and extending those of Halász. Several applications are derived, including: estimates for the difference of mean-values of so-called pretentious functions, local laws for the distribution of prime factors in an arbitrary set, and weighted distribution of additive functions.
Document type :
Preprints, Working Papers, ...
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01300328
Contributor : Gérald Tenenbaum <>
Submitted on : Wednesday, September 7, 2016 - 10:19:36 AM
Last modification on : Thursday, January 11, 2018 - 6:26:30 AM
Document(s) archivé(s) le : Thursday, December 8, 2016 - 1:09:44 PM

File

Wirsing-Halasz.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01300328, version 9

Citation

Gérald Tenenbaum. Valeurs moyennes effectives de fonctions multiplicatives complexes. 2016. ⟨hal-01300328v9⟩

Share

Metrics

Record views

76

Files downloads

31