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arXiv · 2409.14372

Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3

Gérald Tenenbaum·Jie Wu
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Abstract

We consider logarithmic averages, over friable integers, of non-negative multiplicative functions. Under logarithmic, one-sided or two-sided hypotheses, we obtain sharp estimates that improve upon known results in the literature regarding both the quality of the error term and the range of validity. The one-sided hypotheses correspond to classical sieve assumptions. They are applied to provide an effective form of the Johnsen--Selberg prime power sieve.

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Gérald Tenenbaum, Jie Wu. 2024-09-22. Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3. https://arxiv.org/abs/2409.14372

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