An explicit result for short sums of positive arithmetic functions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909448204713984 |
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| author | Bordellès, Olivier |
| author_facet | Bordellès, Olivier |
| contents | We prove a totally explicit bound for short sums of certain non-negative arithmetic functions satisfying a general growth condition, and apply this result to derive two explicit estimates for the Erdős-Hooley $Δ$-function in short intervals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12333 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An explicit result for short sums of positive arithmetic functions Bordellès, Olivier Number Theory 11A25, 11N37, 11N56 We prove a totally explicit bound for short sums of certain non-negative arithmetic functions satisfying a general growth condition, and apply this result to derive two explicit estimates for the Erdős-Hooley $Δ$-function in short intervals. |
| title | An explicit result for short sums of positive arithmetic functions |
| topic | Number Theory 11A25, 11N37, 11N56 |
| url | https://arxiv.org/abs/2402.12333 |