{
  "id": "1908.04833",
  "version": "v1",
  "published": "2019-08-13T19:11:40.000Z",
  "updated": "2019-08-13T19:11:40.000Z",
  "title": "Twelfth moment of Dirichlet L-functions to prime power moduli",
  "authors": [
    "Djordje Milicevic",
    "Daniel White"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove the q-aspect analogue of Heath-Brown's result on the twelfth power moment of the Riemann zeta function for Dirichlet L-functions to odd prime power moduli. Our results rely on the p-adic method of stationary phase for sums of products and complement Nunes' bound for smooth square-free moduli.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-13T19:11:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11L07",
      "11L40",
      "26E30"
    ],
    "keywords": [
      "dirichlet l-functions",
      "twelfth moment",
      "odd prime power moduli",
      "twelfth power moment",
      "riemann zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}