{
  "id": "1211.1124",
  "version": "v4",
  "published": "2012-11-06T07:04:25.000Z",
  "updated": "2013-05-17T14:39:52.000Z",
  "title": "On the computation of coefficients of modular forms: the reduction modulo p approach",
  "authors": [
    "Jinxiang Zeng",
    "Linsheng Yin"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we present a probabilistic algorithm to compute the coefficients of modular forms of level one. Focus on the Ramanujan's tau function, we give out the explicit complexity of the algorithm. From a practical viewpoint, the algorithm is particularly well suited for implementations.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-05-17T14:39:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F37",
      "11F30",
      "11G20",
      "11Y16",
      "14Q05",
      "14H05"
    ],
    "keywords": [
      "modular forms",
      "reduction modulo",
      "coefficients",
      "computation",
      "ramanujans tau function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.1124Z"
    }
  }
}