On the Lang-Trotter conjecture for a class of non-generic abelian surfaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912505990742016 |
|---|---|
| author | Amri, Mohammed Amin |
| author_facet | Amri, Mohammed Amin |
| contents | In the present article, we formulate a conjectural uniform error term in the Chebotarev-Sato-Tate distribution for abelian surfaces $\mathbb{Q}$-isogenous to a product of not $\overline{\mathbb{Q}}$-isogenous non-CM-elliptic curves, established by the author in \cite[Theorem 1.1]{Amri22}. As a consequence, we provide a direct proof to the generalized Lang-Trotter conjecture recently formulated and studied in \cite{Chen}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_10523 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Lang-Trotter conjecture for a class of non-generic abelian surfaces Amri, Mohammed Amin Number Theory In the present article, we formulate a conjectural uniform error term in the Chebotarev-Sato-Tate distribution for abelian surfaces $\mathbb{Q}$-isogenous to a product of not $\overline{\mathbb{Q}}$-isogenous non-CM-elliptic curves, established by the author in \cite[Theorem 1.1]{Amri22}. As a consequence, we provide a direct proof to the generalized Lang-Trotter conjecture recently formulated and studied in \cite{Chen}. |
| title | On the Lang-Trotter conjecture for a class of non-generic abelian surfaces |
| topic | Number Theory |
| url | https://arxiv.org/abs/2211.10523 |