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- W2081397430 abstract "Soit Ψ(x, y) le nombre d'entiers ≦x dont tous les facteurs premiers sont ≦y. En notant u = (logx)logy et ϱ la fonction de Dickman, Hildebrand a montré en 1986 que Ψ(x, y) = xϱ(u)(1 + Oε(log(u + 1)(logy))) dans le domaine x ≧ x0, exp{(log log x)53 + ε} ≤ y ≤ x. Nous précisons ce résultat en montrant que dans le même domaine Ψ(x, y) = Λ(x, y)(1 + Oε(exp{−(logy)35 − ε})) avec" @default.
- W2081397430 created "2016-06-24" @default.
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- W2081397430 date "1989-05-01" @default.
- W2081397430 modified "2023-09-27" @default.
- W2081397430 title "Sur le nombre des entiers sans grand facteur premier" @default.
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- W2081397430 doi "https://doi.org/10.1016/0022-314x(89)90099-1" @default.
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