{
  "id": "1310.8572",
  "version": "v1",
  "published": "2013-10-31T16:24:25.000Z",
  "updated": "2013-10-31T16:24:25.000Z",
  "title": "On sums involving products and quotients of L-functions over function fields",
  "authors": [
    "Jeffrey Lin Thunder"
  ],
  "comment": "59 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We estimate the sum of products or quotients of $L$-functions, where the sum is taken over all quadratic extensions of given genus over a fixed global function field. Our estimate for the sum of the quotient of two $L$-functions is analogous to a result of Schmidt where he estimates the sum of the quotient of two $L$-series, where the sum is over quadratic extensions of $\\bq$ with absolute value of the discriminant less than a given bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-31T16:24:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "11S40"
    ],
    "keywords": [
      "quadratic extensions",
      "l-functions",
      "fixed global function field",
      "absolute value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 59,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.8572T"
    }
  }
}