{
  "id": "1602.01803",
  "version": "v1",
  "published": "2016-02-04T19:41:54.000Z",
  "updated": "2016-02-04T19:41:54.000Z",
  "title": "Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients",
  "authors": [
    "Rainer Schulze-Pillot",
    "Abdullah Yenirce"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a bound for the Fourier coefficients of a cusp form of integral weight which is not a newform by computing an explicit orthogonal basis for the space of cusp forms of given integral weight and level.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-04T19:41:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11"
    ],
    "keywords": [
      "cusp form",
      "fourier coefficients",
      "petersson products",
      "integral weight",
      "explicit orthogonal basis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160201803S"
    }
  }
}