{
  "id": "1910.05010",
  "version": "v1",
  "published": "2019-10-11T07:42:21.000Z",
  "updated": "2019-10-11T07:42:21.000Z",
  "title": "Derivatives of L-functions",
  "authors": [
    "Jae-Hyun Yang"
  ],
  "comment": "53 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper, we investigate the derivatives of L-functions, in particular, the Riemann zeta function, the Hasse-Weil L-function, the Rankin L-function and the Artin L-function, and survey the relations between the derivatives of L-functions and the geometry and arithmetic of the associated Shimura varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-11T07:42:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F41",
      "11G15",
      "11G18",
      "14G35",
      "14G40"
    ],
    "keywords": [
      "derivatives",
      "riemann zeta function",
      "rankin l-function",
      "associated shimura varieties",
      "artin l-function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}