Note sur les valeurs moyennes criblées de certaines fonctions arithmétiques

Abstract : We provide, in a wide range of the parameters, an estimate for the mean-value over sifted integers of certain arithmetic functions with Dirichlet series analytically close to $1/\zeta_{\mathbb{K}}(s)$, where $\mathbb{K}$ is a number field and $\zeta_{\mathbb{K}}$ its Dedekind zeta function.
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Armand Lachand, Gerald Tenenbaum. Note sur les valeurs moyennes criblées de certaines fonctions arithmétiques. Quarterly Journal of Mathematics, Oxford University Press (OUP), 2015, 66 (1), pp.245-250. ⟨http://qjmath.oxfordjournals.org/⟩. ⟨10.1093/qmath/hau026⟩. ⟨hal-01081309⟩

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