{
  "id": "0904.3819",
  "version": "v1",
  "published": "2009-04-24T08:02:48.000Z",
  "updated": "2009-04-24T08:02:48.000Z",
  "title": "Numerical evidence toward a 2-adic equivariant \"main conjecture\"",
  "authors": [
    "Xavier-François Roblot",
    "Alfred Weiss"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Recently Ritter and Weiss introduced an equivariant \"main conjecture\" than generalizes and refines the Main Conjecture of Iwasawa theory. In this paper, we show that, for the prime 2 and a dihedral extension of order 8 over Q, this conjecture is equivalent to a congruence condition on the coefficients of a power series with 2-adic integral coefficients constructed using the 2-adic L-series associated to the extension. We then verify that this congruence condition holds for the first coefficients in a large number of examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-24T08:02:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R42",
      "11R23"
    ],
    "keywords": [
      "main conjecture",
      "numerical evidence",
      "equivariant",
      "congruence condition holds",
      "iwasawa theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3819R"
    }
  }
}