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

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.

This paper is the p-adic part of our original article arXiv:math/1309.3982 which was divided into the complex part and the p-adic part

References in corpus (2)

• p-adic multiple zeta values I -- p-adic multiple polylogarithms and the p-adic KZ equation
• Cyclotomic p-adic Multi-Zeta Values in Depth Two

Cited by in corpus (1)

• On multiple polylogarithms in characteristic $p$: $v$-adic vanishing versus $\infty$-adic Eulerianness