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

Hidekazu Furusho; Yasushi Komori; Kohji Matsumoto; Hirofumi Tsumura

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

Number Theory 2015-09-25 v2

Authors: Hidekazu Furusho , Yasushi Komori , Kohji Matsumoto , Hirofumi Tsumura

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.

Keywords

p-adic multiple L-functions Kubota-Leopoldt p-adic L-functions p-adic measure special values

Cite

@article{arxiv.1508.07185,
  title  = {Fundamentals of p-adic multiple L-functions and evaluation of their special values},
  author = {Hidekazu Furusho and Yasushi Komori and Kohji Matsumoto and Hirofumi Tsumura},
  journal= {arXiv preprint arXiv:1508.07185},
  year   = {2015}
}

Comments

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

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

Abstract

Keywords

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