Character sums of Division polynomials twisted by multiplicative functions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917373978607616 |
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| author | Bhakta, Subham |
| author_facet | Bhakta, Subham |
| contents | Let $E$ be an elliptic curve over the finite field $\mathbb{F}_p$, and $P \in E(\mathbb{F}_p)$ be an $\mathbb{F}_p$-rational point. We obtain nontrivial estimates for multiplicative character sums associated with the division polynomials $ψ_n(P)$ twisted by several multiplicative functions, where $ψ_n(P)$ denotes the $n$-th division polynomial evaluated at $P$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03988 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Character sums of Division polynomials twisted by multiplicative functions Bhakta, Subham Number Theory 11G07, 11L40, 11N25, 11N60 Let $E$ be an elliptic curve over the finite field $\mathbb{F}_p$, and $P \in E(\mathbb{F}_p)$ be an $\mathbb{F}_p$-rational point. We obtain nontrivial estimates for multiplicative character sums associated with the division polynomials $ψ_n(P)$ twisted by several multiplicative functions, where $ψ_n(P)$ denotes the $n$-th division polynomial evaluated at $P$. |
| title | Character sums of Division polynomials twisted by multiplicative functions |
| topic | Number Theory 11G07, 11L40, 11N25, 11N60 |
| url | https://arxiv.org/abs/2508.03988 |