{
  "id": "1604.01152",
  "version": "v1",
  "published": "2016-04-05T06:53:15.000Z",
  "updated": "2016-04-05T06:53:15.000Z",
  "title": "The trace of modular forms and its application to number theory",
  "authors": [
    "Norifumi Ojiro"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We provide a generalization of an algebraic linear combination for the trace of certain elliptic modular forms, and through specializing the expression at a suitable pair consisting of an elliptic curve over algebraic number fields and its a certain cyclic subgroup with finite order, show a formula between distinct algebraic number fields, the one related to modular forms and the other related to elliptic curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-05T06:53:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11",
      "11F30"
    ],
    "keywords": [
      "number theory",
      "application",
      "elliptic curve",
      "distinct algebraic number fields",
      "elliptic modular forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160401152O"
    }
  }
}