Functional equation of the $p$-adic $L$-function of Bianchi modular forms
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866918019297443840 |
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| author | Palacios, Luis Santiago |
| author_facet | Palacios, Luis Santiago |
| contents | Let $K$ be an imaginary quadratic field with class number 1, in this paper we obtain the functional equation of the $p$-adic $L$-function of small slope $p$-stabilised Bianchi modular forms. Then, using $p$-adic families of Bianchi modular forms, we extend our result to $Σ$-smooth base-change Bianchi modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_02770 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Functional equation of the $p$-adic $L$-function of Bianchi modular forms Palacios, Luis Santiago Number Theory Let $K$ be an imaginary quadratic field with class number 1, in this paper we obtain the functional equation of the $p$-adic $L$-function of small slope $p$-stabilised Bianchi modular forms. Then, using $p$-adic families of Bianchi modular forms, we extend our result to $Σ$-smooth base-change Bianchi modular forms. |
| title | Functional equation of the $p$-adic $L$-function of Bianchi modular forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2105.02770 |