Variance of point-counts for families of cubic curves over $\mathbb{F}_p$ and Jacobsthal sums
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916701843488768 |
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| author | Nica, Bogdan |
| author_facet | Nica, Bogdan |
| contents | We give explicit computations for the variance of the number of points along one-parameter families of cubic curves. We highlight evaluations of variances that involve Jacobsthal sums. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15505 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variance of point-counts for families of cubic curves over $\mathbb{F}_p$ and Jacobsthal sums Nica, Bogdan Number Theory 11G20, 11L10 We give explicit computations for the variance of the number of points along one-parameter families of cubic curves. We highlight evaluations of variances that involve Jacobsthal sums. |
| title | Variance of point-counts for families of cubic curves over $\mathbb{F}_p$ and Jacobsthal sums |
| topic | Number Theory 11G20, 11L10 |
| url | https://arxiv.org/abs/2504.15505 |