Fundamentals of p-adic multiple L-functions and evaluation of their special values

2015/08/28 by Hidekazu Furusho, Yasushi Komori, Furusho, Hidekazu +5
Mathematics · #11G55 #11S80 #Advanced Algebra and Geometry #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT) #Primary 11S40 #Secondary 11M32 #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1508.07185

openalex publication_date 2015/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct p-adic multiple L-functions in several variables, which are generalizations of the classical Kubota-Leopoldt p-adic L-functions, by using a specific p-adic measure. Our construction is from the p-adic analytic side of view, and we establish various fundamental properties of these functions.

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