A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929690521894912 |
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| author | Huang, Ting-Han Kazi, Ananyo |
| author_facet | Huang, Ting-Han Kazi, Ananyo |
| contents | Our main objective in the present paper is to generalise the work of Blanco-Chacón and Fornea on the $p$-adic Gross-Zagier formula for twisted triple product $p$-aidc $L$-function. We extend their main result to the case of finite slope families of Hilbert modular forms and also allow the prime $p$ to be inert in the real quadratic field $L$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families Huang, Ting-Han Kazi, Ananyo Number Theory Algebraic Geometry 11F41, 11G40, 14G35 Our main objective in the present paper is to generalise the work of Blanco-Chacón and Fornea on the $p$-adic Gross-Zagier formula for twisted triple product $p$-aidc $L$-function. We extend their main result to the case of finite slope families of Hilbert modular forms and also allow the prime $p$ to be inert in the real quadratic field $L$. |
| title | A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families |
| topic | Number Theory Algebraic Geometry 11F41, 11G40, 14G35 |
| url | https://arxiv.org/abs/2501.17474 |