{
  "id": "1311.3565",
  "version": "v1",
  "published": "2013-11-14T16:24:28.000Z",
  "updated": "2013-11-14T16:24:28.000Z",
  "title": "On the $μ$-invariant of Katz $p$-adic $L$ functions attached to imaginary quadratic fields and applications",
  "authors": [
    "Hassan Oukhaba",
    "Stéphane Viguié"
  ],
  "comment": "24 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We extend to $p=2$ and $p=3$ the result of Gillard and Schneps which says that the $\\mu$-invariant of Katz $p$-adic $L$ functions attached to imaginary quadratic fields is zero for $p>3$. The arithmetic interpretation of this fact is given in the introduction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-14T16:24:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G16",
      "11F85",
      "11S80",
      "11R23"
    ],
    "keywords": [
      "imaginary quadratic fields",
      "applications",
      "arithmetic interpretation",
      "introduction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3565O"
    }
  }
}