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arXiv · 2109.13218

$p$-adic Measures for Reciprocals of $L$-functions of Totally Real Fields

Razan Taha
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Abstract

We construct $p$-adic measures which interpolate the special values of reciprocals of $p$-adic $L$-functions of totally real number fields $K$ at negative integers. These measures are defined by analyzing the non-constant term of partial Eisenstein series of the Hilbert modular group of $K$.

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Razan Taha. 2021-09-27. $p$-adic Measures for Reciprocals of $L$-functions of Totally Real Fields. https://arxiv.org/abs/2109.13218

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