Article Dans Une Revue Functiones et Approximatio Commentarii Mathematici Année : 2024

Friable averages of complex arithmetic functions

Résumé

We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some complex power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. Some application are provided to the friable distribution of the additive function counting the total number of prime factors.

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hal-05554765 , version 1 (16-03-2026)

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R de la Bretèche, G Tenenbaum. Friable averages of complex arithmetic functions. Functiones et Approximatio Commentarii Mathematici, 2024, 71 (1), pp.87-119. ⟨10.7169/facm/2113⟩. ⟨hal-05554765⟩
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