{
  "id": "1509.02431",
  "version": "v1",
  "published": "2015-09-08T16:18:34.000Z",
  "updated": "2015-09-08T16:18:34.000Z",
  "title": "On Products of Fourier Coefficients of Cusp Forms",
  "authors": [
    "Eric Hofmann",
    "Winfried Kohnen"
  ],
  "comment": "9 pages; submitted to Forum Mathematicum",
  "categories": [
    "math.NT"
  ],
  "abstract": "The purpose of this paper is to study products of Fourier coefficients of an elliptic cusp form, $a(n)a(n + r)$ $(n \\geq 1)$ for a fixed positive integer $r$, concerning both non-vanishing and non-negativity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-08T16:18:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F12",
      "11F30"
    ],
    "keywords": [
      "fourier coefficients",
      "elliptic cusp form",
      "study products",
      "non-negativity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150902431H"
    }
  }
}