Inégalité de Turán-Kubilius friable et indépendance asymptotique
نویسندگان
چکیده
Elaborating on previous works and taking advantage of estimates on the local behaviour of the counting function of friable integers, we determine the optimal range in which the friable Turán-Kubilius constant tends to 1.
منابع مشابه
Constantes de Turán-Kubilius friables: une étude numérique
method, saddle-point method. This study is a follow-up to two recent works: [la Bretèche et Tenenbaum 05] and [Martin et Tenenbaum 08]. The former provides a friable (i.e., with respect to integers free of large prime factors) extension of the classical Turán–Kubilius inequality, while the latter furnishes a theoretical method for sharp evaluation of the involved constants. Here, we complement ...
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