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.
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https://hal.archives-ouvertes.fr/hal-01300328
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Submitted on : Tuesday, July 11, 2017 - 10:53:48 AM
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  • HAL Id : hal-01300328, version 12

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Gérald Tenenbaum. Moyennes effectives de fonctions multiplicatives complexes. 2017. ⟨hal-01300328v12⟩

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