Statistics for Iwasawa Invariants of elliptic curves, $\rm{II}$
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911918661304320 |
|---|---|
| author | Kundu, Debanjana Ray, Anwesh |
| author_facet | Kundu, Debanjana Ray, Anwesh |
| contents | We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves. These results lie at the intersection of arithmetic statistics and Iwasawa theory. We obtain unconditional lower bounds for the density of rational elliptic curves with prescribed Iwasawa invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_12095 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Statistics for Iwasawa Invariants of elliptic curves, $\rm{II}$ Kundu, Debanjana Ray, Anwesh Number Theory 11R18, 11F11, 11F33, 11R23 (Primary) 11F85 (Secondary) We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves. These results lie at the intersection of arithmetic statistics and Iwasawa theory. We obtain unconditional lower bounds for the density of rational elliptic curves with prescribed Iwasawa invariants. |
| title | Statistics for Iwasawa Invariants of elliptic curves, $\rm{II}$ |
| topic | Number Theory 11R18, 11F11, 11F33, 11R23 (Primary) 11F85 (Secondary) |
| url | https://arxiv.org/abs/2106.12095 |