On quaternionic ordinary families of modular forms and $p$-adic $L$-functions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910186467229696 |
|---|---|
| author | Longo, Matteo Magrone, Paola Walchek, Eris Rocha |
| author_facet | Longo, Matteo Magrone, Paola Walchek, Eris Rocha |
| contents | We use Serre--Tate expansions of modular forms to construct power series attached to quaternionic ordinary families of modular forms. We associate to these power series a big $p$-adic $L$-function interpolating the $p$-adic $L$-functions constructed by Burungale and Magrone at classical specializations. A crucial ingredient is the generalization of some results of Ohta to the quaternionic setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On quaternionic ordinary families of modular forms and $p$-adic $L$-functions Longo, Matteo Magrone, Paola Walchek, Eris Rocha Number Theory We use Serre--Tate expansions of modular forms to construct power series attached to quaternionic ordinary families of modular forms. We associate to these power series a big $p$-adic $L$-function interpolating the $p$-adic $L$-functions constructed by Burungale and Magrone at classical specializations. A crucial ingredient is the generalization of some results of Ohta to the quaternionic setting. |
| title | On quaternionic ordinary families of modular forms and $p$-adic $L$-functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.04301 |