A p-adic L-function for non-critical adjoint L-values

Pak-Hin Lee

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arXiv · 2103.05589

A p-adic L-function for non-critical adjoint L-values

Pak-Hin Lee

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Abstract

Let $K$ be an imaginary quadratic field, with associated quadratic character $α$. We construct an analytic $p$-adic $L$-function interpolating the twisted adjoint $L$-values $L(1, \mathrm{ad}(f) \otimes α)$ as $f$ varies in a Hida family; these special values are non-critical in the sense of Deligne. Our approach is based on Greenberg--Stevens' idea of $Λ$-adic modular symbols, which considers cohomology with values in a space of $p$-adic measures.

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BibTeX RIS

Pak-Hin Lee. 2021-03-09. A p-adic L-function for non-critical adjoint L-values. https://arxiv.org/abs/2103.05589

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