{
  "id": "1609.05363",
  "version": "v1",
  "published": "2016-09-17T16:54:20.000Z",
  "updated": "2016-09-17T16:54:20.000Z",
  "title": "Hybrid Euler-Hadamard product for quadratic Dirichlet $L$-functions in function fields",
  "authors": [
    "H. M. Bui",
    "Alexandra Florea"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet $L$--functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of $L$--functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-17T16:54:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic dirichlet",
      "function fields",
      "hybrid euler-hadamard product model",
      "conjectural asymptotic formulas",
      "riemann-zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}