Symmetric power functoriality for holomorphic modular forms
Let 𝑓 be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting Sym𝑛𝑓 for every 𝑛≥1. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over 𝐐.
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2021
|
| _version_ | 1826307339574050816 |
|---|---|
| author | Newton, J Thorne, JA |
| author_facet | Newton, J Thorne, JA |
| author_sort | Newton, J |
| collection | OXFORD |
| description | Let 𝑓 be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting Sym𝑛𝑓 for every 𝑛≥1.
We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over 𝐐. |
| first_indexed | 2024-03-07T07:01:47Z |
| format | Journal article |
| id | oxford-uuid:d63d55af-f854-451a-bd74-cc50efa96174 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:01:47Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:d63d55af-f854-451a-bd74-cc50efa961742022-03-28T14:09:05ZSymmetric power functoriality for holomorphic modular formsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d63d55af-f854-451a-bd74-cc50efa96174EnglishSymplectic ElementsSpringer2021Newton, JThorne, JALet 𝑓 be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting Sym𝑛𝑓 for every 𝑛≥1. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over 𝐐. |
| spellingShingle | Newton, J Thorne, JA Symmetric power functoriality for holomorphic modular forms |
| title | Symmetric power functoriality for holomorphic modular forms |
| title_full | Symmetric power functoriality for holomorphic modular forms |
| title_fullStr | Symmetric power functoriality for holomorphic modular forms |
| title_full_unstemmed | Symmetric power functoriality for holomorphic modular forms |
| title_short | Symmetric power functoriality for holomorphic modular forms |
| title_sort | symmetric power functoriality for holomorphic modular forms |
| work_keys_str_mv | AT newtonj symmetricpowerfunctorialityforholomorphicmodularforms AT thorneja symmetricpowerfunctorialityforholomorphicmodularforms |