{
  "id": "0710.1237",
  "version": "v1",
  "published": "2007-10-05T14:25:02.000Z",
  "updated": "2007-10-05T14:25:02.000Z",
  "title": "On the computation of Galois representations associated to level one modular forms",
  "authors": [
    "Johan Bosman"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we explicitly compute mod-l Galois representations associated to modular forms. To be precise, we look at cases with l<=23 and the modular forms considered will be cusp forms of level 1 and weight up to 22. We present the result in terms of polynomials associated to the projectivised representations. As an application, we will improve a known result on Lehmer's non-vanishing conjecture for Ramanujan's tau function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-05T14:25:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Y40",
      "11F80"
    ],
    "keywords": [
      "modular forms",
      "computation",
      "ramanujans tau function",
      "cusp forms",
      "lehmers non-vanishing conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1237B"
    }
  }
}