{
  "id": "1402.1504",
  "version": "v1",
  "published": "2014-02-06T21:30:23.000Z",
  "updated": "2014-02-06T21:30:23.000Z",
  "title": "On a new type of the l-adic regulator for algebraic number fields",
  "authors": [
    "Leonid Kuzmin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For an algebraic number field K such that prime l splits completely in K we define a regulator R(K) that characterize the subgroup of universal norms from the cyclotomic extension of K in the completed group of S-units of K, where S consists of all prime divisors of l. We prove that inequality R(K) not equals 0 follows from the l-adic Schanuel conjecture and holds true for some Abelian extensions of imaginary quadratic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-06T21:30:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic number field",
      "l-adic regulator",
      "imaginary quadratic fields",
      "l-adic schanuel conjecture",
      "abelian extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.1504K"
    }
  }
}