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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2212.03591 |
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| _version_ | 1866913237757329408 |
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| author | Thorne, Jack A. |
| author_facet | Thorne, Jack A. |
| contents | We construct level-raising congruences between $p$-ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. In particular, we prove the existence of the $n^\text{th}$ symmetric power lift of a Hilbert modular eigenform of regular weight for each odd integer $n = 1, 3, \dots, 25$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_03591 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A $p$-adic approach to the existence of level-raising congruences Thorne, Jack A. Number Theory We construct level-raising congruences between $p$-ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. In particular, we prove the existence of the $n^\text{th}$ symmetric power lift of a Hilbert modular eigenform of regular weight for each odd integer $n = 1, 3, \dots, 25$. |
| title | A $p$-adic approach to the existence of level-raising congruences |
| topic | Number Theory |
| url | https://arxiv.org/abs/2212.03591 |