{
  "id": "0706.2735",
  "version": "v1",
  "published": "2007-06-19T08:54:55.000Z",
  "updated": "2007-06-19T08:54:55.000Z",
  "title": "Sums of $L$-functions over the rational function field",
  "authors": [
    "Gautam Chinta",
    "Joel B. Mohler"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Friedberg, Hoffstein and Lieman have constructed two related multiple Dirichlet series from quadratic and higher-order $L$-functions and Gauss sums. We compute these multiple Dirichlet series explicitly in the case of the rational function field. This is done by utilizing the functional equation of the $L$-functions and the functional equation relating the two multiple Dirichlet series. We also point out a very simple correspondence between these series and their $p$-parts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-19T08:54:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M38"
    ],
    "keywords": [
      "rational function field",
      "functional equation",
      "related multiple dirichlet series",
      "gauss sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.2735C"
    }
  }
}