{
  "id": "1012.3062",
  "version": "v1",
  "published": "2010-12-14T15:39:45.000Z",
  "updated": "2010-12-14T15:39:45.000Z",
  "title": "Fourier coefficients of noncongruence cuspforms",
  "authors": [
    "Wen-Ching Winnie Li",
    "Ling Long"
  ],
  "doi": "10.1112/blms/bdr122",
  "categories": [
    "math.NT"
  ],
  "abstract": "Given a finite index subgroup of $SL_2(\\mathbb Z)$ with modular curve defined over $\\mathbb Q$, under the assumption that the space of weight $k$ ($ \\ge 2$) cusp forms is $1$-dimensional, we show that a form in this space with Fourier coefficients in $\\mathbb Q$ has bounded denominators if and only if it is a congruence modular form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-14T15:39:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11"
    ],
    "keywords": [
      "fourier coefficients",
      "noncongruence cuspforms",
      "congruence modular form",
      "finite index subgroup",
      "modular curve"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3062L"
    }
  }
}