Friable averages of complex arithmetic functions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916330574184448 |
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| author | de la Bretèche, Régis Tenenbaum, Gérald |
| author_facet | de la Bretèche, Régis Tenenbaum, Gérald |
| contents | We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some complex power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. Some application are provided to the friable distribution of the additive function counting the total number of prime factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06486 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Friable averages of complex arithmetic functions de la Bretèche, Régis Tenenbaum, Gérald Number Theory 11N25, 11N37 We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some complex power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. Some application are provided to the friable distribution of the additive function counting the total number of prime factors. |
| title | Friable averages of complex arithmetic functions |
| topic | Number Theory 11N25, 11N37 |
| url | https://arxiv.org/abs/2305.06486 |