Moments of Averages of Ramanujan Sums over Number Fields
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909067596791808 |
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| author | Chaubey, Sneha Goel, Shivani |
| author_facet | Chaubey, Sneha Goel, Shivani |
| contents | Assuming the generalized Lindelöf hypothesis, we provide asymptotic formulas for the mean values of the first and second moments of Ramanujan sums over any number field. Additionally, unconditionally, we estimate the second moment of Ramanujan sums over cyclotomic number fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moments of Averages of Ramanujan Sums over Number Fields Chaubey, Sneha Goel, Shivani Number Theory 11M06, 11R18, 11N37 Assuming the generalized Lindelöf hypothesis, we provide asymptotic formulas for the mean values of the first and second moments of Ramanujan sums over any number field. Additionally, unconditionally, we estimate the second moment of Ramanujan sums over cyclotomic number fields. |
| title | Moments of Averages of Ramanujan Sums over Number Fields |
| topic | Number Theory 11M06, 11R18, 11N37 |
| url | https://arxiv.org/abs/2401.05052 |