Friable averages of oscillating multiplicative functions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866917728083771392 |
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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 negative power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. An application is given to summing truncated versions of such functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_04777 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Friable averages of oscillating multiplicative functions de la Bretèche, Régis Tenenbaum, Gérald Number Theory Classical Analysis and ODEs 11N25, 11N37 We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some negative power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. An application is given to summing truncated versions of such functions. |
| title | Friable averages of oscillating multiplicative functions |
| topic | Number Theory Classical Analysis and ODEs 11N25, 11N37 |
| url | https://arxiv.org/abs/2207.04777 |