March 27, 2024Open Access

Triple product p-adic L-functions for finite slope families and a p-adic Gross-Zagier formula

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Abstract

In this paper, we generalize two results of H. Darmon and V. Rotger on triple product p-adic L-functions associated with Hida families to finite slope families. We first prove a p-adic Gross-Zagier formula, then demonstrate an application to a special case of the equivariant Birch and Swinnerton-Dyer conjecture for supersingular elliptic curves.

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Ting-Han Huang (Wed,) studied this question.

synapsesocial.com/papers/68e7230db6db64358769d41e https://doi.org/https://doi.org/10.48550/arxiv.2403.18620

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