{
  "id": "2309.01059",
  "version": "v1",
  "published": "2023-09-03T02:51:35.000Z",
  "updated": "2023-09-03T02:51:35.000Z",
  "title": "$L$-function of CM elliptic curves and generalized hypergeometric functions",
  "authors": [
    "Yusuke Nemoto"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we express special values of the $L$-functions of certain CM elliptic curves which are related to Fermat curves in terms of the special values of generalized hypergeometric functions by comparing Bloch's element with Ross's element in the motivic cohomology group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-03T02:51:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19F27",
      "33C20"
    ],
    "keywords": [
      "cm elliptic curves",
      "generalized hypergeometric functions",
      "express special values",
      "motivic cohomology group",
      "fermat curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}