Extreme central $L$-values of almost prime quadratic twists of elliptic curves
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909706999562240 |
|---|---|
| author | Hua, Shenghao Huang, Bingrong |
| author_facet | Hua, Shenghao Huang, Bingrong |
| contents | In this paper, we prove the extreme values of $L$-functions at the central point for almost prime quadratic twists of an elliptic curve. As an application, we get the extreme values for the Tate--Shafarevich groups in the quadratic twist family of an elliptic curve under the Birth--Swinnerton-Dyer conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_13360 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extreme central $L$-values of almost prime quadratic twists of elliptic curves Hua, Shenghao Huang, Bingrong Number Theory In this paper, we prove the extreme values of $L$-functions at the central point for almost prime quadratic twists of an elliptic curve. As an application, we get the extreme values for the Tate--Shafarevich groups in the quadratic twist family of an elliptic curve under the Birth--Swinnerton-Dyer conjecture. |
| title | Extreme central $L$-values of almost prime quadratic twists of elliptic curves |
| topic | Number Theory |
| url | https://arxiv.org/abs/2212.13360 |