On the moments of averages of Ramanujan sums
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916091551285248 |
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| author | Goel, Shivani Murty, M. Ram |
| author_facet | Goel, Shivani Murty, M. Ram |
| contents | Chan and Kumchev studied averages of the first and second moments of Ramanujan sums. In this article, we extend this investigation by estimating the higher moments of averages of Ramanujan sums using the Brèteche Tauberian theorem. We also give a result for the moments of averages of Cohen-Ramanujan sums. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07321 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the moments of averages of Ramanujan sums Goel, Shivani Murty, M. Ram Number Theory 11A05, 11L03, 11N37 Chan and Kumchev studied averages of the first and second moments of Ramanujan sums. In this article, we extend this investigation by estimating the higher moments of averages of Ramanujan sums using the Brèteche Tauberian theorem. We also give a result for the moments of averages of Cohen-Ramanujan sums. |
| title | On the moments of averages of Ramanujan sums |
| topic | Number Theory 11A05, 11L03, 11N37 |
| url | https://arxiv.org/abs/2401.07321 |