{
  "id": "1508.07185",
  "version": "v1",
  "published": "2015-08-28T12:46:18.000Z",
  "updated": "2015-08-28T12:46:18.000Z",
  "title": "Fundamentals of p-adic multiple L-functions and evaluation of their special values",
  "authors": [
    "Hidekazu Furusho",
    "Yasushi Komori",
    "Kohji Matsumoto",
    "Hirofumi Tsumura"
  ],
  "comment": "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",
  "categories": [
    "math.NT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-28T12:46:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S40",
      "11G55",
      "11M32",
      "11S80"
    ],
    "keywords": [
      "p-adic multiple l-functions",
      "special values",
      "evaluation",
      "adic analytic side",
      "adic measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807185F"
    }
  }
}