{
  "id": "1710.06211",
  "version": "v1",
  "published": "2017-10-17T11:18:00.000Z",
  "updated": "2017-10-17T11:18:00.000Z",
  "title": "Oscillatory behavior and equidistribution of signs of Fourier coefficients of cusp forms",
  "authors": [
    "Mohammed Amin Amri"
  ],
  "comment": "17 pages, comments welcome!",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we discuss questions related to the oscillatory behavior and the equidistribution of signs for certain subfamilies of Fourier coefficients of integral weight newforms with a non-trivial character as well as Fourier coefficients of eigenforms of half-integral weight reachable by the Shimura correspondence, which encourage us to extended the Bruinier-Kohnen conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-17T11:18:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier coefficients",
      "oscillatory behavior",
      "cusp forms",
      "equidistribution",
      "integral weight newforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}