$L$-derivatives of the fixed elliptic curve over rank-one imaginary quadratic fields
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912798997479424 |
|---|---|
| author | Hua, Shenghao |
| author_facet | Hua, Shenghao |
| contents | There is a one-sided central limit theorem for the logarithms of $L$-derivatives of a fixed rational non-CM elliptic curve $E$ over imaginary quadratic fields of rank one, analogous to a result of Radziwiłł and Soundararajan. There are also many $L$-derivatives that are not small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $L$-derivatives of the fixed elliptic curve over rank-one imaginary quadratic fields Hua, Shenghao Number Theory There is a one-sided central limit theorem for the logarithms of $L$-derivatives of a fixed rational non-CM elliptic curve $E$ over imaginary quadratic fields of rank one, analogous to a result of Radziwiłł and Soundararajan. There are also many $L$-derivatives that are not small. |
| title | $L$-derivatives of the fixed elliptic curve over rank-one imaginary quadratic fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.20297 |