Compositio Math. 144 (2008) 339–376. Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3 Gerald Tenenbaum & Jie Wu 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 e?ective form of the Johnsen–Selberg prime power sieve. AMS Subject classification. 11N25, 11N35, 11N36, 11N56, 11C08. Keywords. Friable integers, Selberg's sieve, logarithmic averages of multiplicative functions. Sommaire 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 Historique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
- equation di?erentielle aux di?erences
- application des resultats d'hypotheses unilaterales au crible
- hypothese d'estimation bilaterale en moyenne des memes quantites
- entier naturel
- solutions d'equations di?erentielles aux di?erences