A newform theory for Katz modular forms
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915936739524608 |
|---|---|
| author | Mamo, Daniel |
| author_facet | Mamo, Daniel |
| contents | In this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a cuspidal Katz eigenform which admits an irreducible Galois representation is in the level and weight old space of a uniquely associated Katz newform. We also set up multiplicity one results for Katz eigenforms which have reducible Galois representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_08866 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A newform theory for Katz modular forms Mamo, Daniel Number Theory In this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a cuspidal Katz eigenform which admits an irreducible Galois representation is in the level and weight old space of a uniquely associated Katz newform. We also set up multiplicity one results for Katz eigenforms which have reducible Galois representation. |
| title | A newform theory for Katz modular forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/1911.08866 |