{
  "id": "1302.2359",
  "version": "v4",
  "published": "2013-02-10T20:28:49.000Z",
  "updated": "2013-08-16T00:20:20.000Z",
  "title": "Binary Quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients",
  "authors": [
    "Alexander Berkovich",
    "Frank Patane"
  ],
  "comment": "27 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We state and prove an identity which represents the most general eta-products of weight 1 by binary quadratic forms. We discuss the utility of binary quadratic forms in finding a multiplicative completion for certain eta-quotients. We then derive explicit formulas for the Fourier coefficients of certain eta-quotients of weight 1 and level 47, 71, 135,648 1024, and 1872.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-08-16T00:20:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B65",
      "11E16",
      "11E20",
      "11E25",
      "11F11",
      "11F20",
      "11F27",
      "11E16",
      "14K25"
    ],
    "keywords": [
      "binary quadratic forms",
      "fourier coefficients",
      "eta-quotients",
      "general eta-products",
      "derive explicit formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.2359B"
    }
  }
}