Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910616551161856 |
|---|---|
| author | Tenenbaum, Gérald Wu, Jie |
| author_facet | Tenenbaum, Gérald Wu, Jie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3 Tenenbaum, Gérald Wu, Jie Number Theory 11N25, 11N35, 11N36, 11N56, 11C08 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. |
| title | Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3 |
| topic | Number Theory 11N25, 11N35, 11N36, 11N56, 11C08 |
| url | https://arxiv.org/abs/2409.14372 |