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

2021/09/27 by Razan Taha, Taha, Razan
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2109.13218

openalex publication_date 2021/09/27 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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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