Small Algebraic Central Values of Twists of Elliptic $L$-Functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866909274521731072 |
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| author | Kisilevsky, Hershy Nam, Jungbae |
| author_facet | Kisilevsky, Hershy Nam, Jungbae |
| contents | We consider heuristic predictions for small non-zero algebraic central values of twists of the $L$-function of an elliptic curve $E/\mathbb{Q}$ by Dirichlet characters. We provide computational evidence for these predictions and consequences of them for instances of an analogue of the Brauer-Siegel theorem associated to $E/\mathbb{Q}$ extended to chosen families of cyclic extensions of fixed degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_03547 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Small Algebraic Central Values of Twists of Elliptic $L$-Functions Kisilevsky, Hershy Nam, Jungbae Number Theory We consider heuristic predictions for small non-zero algebraic central values of twists of the $L$-function of an elliptic curve $E/\mathbb{Q}$ by Dirichlet characters. We provide computational evidence for these predictions and consequences of them for instances of an analogue of the Brauer-Siegel theorem associated to $E/\mathbb{Q}$ extended to chosen families of cyclic extensions of fixed degree. |
| title | Small Algebraic Central Values of Twists of Elliptic $L$-Functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2001.03547 |