Article contents
Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3
Published online by Cambridge University Press: 01 March 2008
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 effective form of the Johnsen–Selberg prime power sieve.
- Type
- Research Article
- Information
- Copyright
- Copyright © Foundation Compositio Mathematica 2008
- 6
- Cited by