Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910395984248832 |
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| author | Lei, Antonio |
| author_facet | Lei, Antonio |
| contents | Let $p$ be an odd prime number. Let $f$ be a normalized Hecke eigen-cuspform that is non-ordinary at $p$. Let $K$ be an imaginary quadratic field in which $p$ splits. We study the Artin formalism for the two-variable signed $p$-adic $L$-functions attached to $f$ over $K$. In particular, we give evidence of a prediction made by Castella--Ciperiani--Skinner--Sprung. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes Lei, Antonio Number Theory Let $p$ be an odd prime number. Let $f$ be a normalized Hecke eigen-cuspform that is non-ordinary at $p$. Let $K$ be an imaginary quadratic field in which $p$ splits. We study the Artin formalism for the two-variable signed $p$-adic $L$-functions attached to $f$ over $K$. In particular, we give evidence of a prediction made by Castella--Ciperiani--Skinner--Sprung. |
| title | Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.01835 |