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Moyennes de certaines fonctions multiplicatives sur les entiers friables, 2
Author(s) -
Hanrot Guillaume,
Tenenbaum Gérald,
Wu Jie
Publication year - 2008
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdm029
Subject(s) - mathematics , de bruijn sequence , combinatorics
We derive new, very precise estimates for averages of arithmetic functions over friable integers from analytic information on their associated Dirichlet series. These yield significant improvements upon available results in classical cases, in particular concerning the effective expansion of ‘abstract’ main terms of de Bruijn type. These results also permit new applications, linked to the solubility of polynomial equations.