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arXiv · 2501.17474

A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families

Ting-Han Huang·Ananyo Kazi
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Abstract

Our main objective in the present paper is to generalise the work of Blanco-Chac\'{o}n 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 $L$.

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Ting-Han Huang, Ananyo Kazi. 2025-01-29. A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families. https://arxiv.org/abs/2501.17474

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