{
  "id": "1301.5507",
  "version": "v1",
  "published": "2013-01-23T14:10:52.000Z",
  "updated": "2013-01-23T14:10:52.000Z",
  "title": "Strong orthogonality between the Möbius function, additive characters, and Fourier coefficients of cusp forms",
  "authors": [
    "Étienne Fouvry",
    "Satadal Ganguly"
  ],
  "doi": "10.1112/S0010437X13007732",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\nu_{f}(n)$ be the $n$-th nomalized Fourier coefficient of a Hecke--Maass cusp form $f$ for ${\\rm SL}(2,\\Z)$ and let $\\alpha$ be a real number. We prove strong oscillations of the argument of $\\nu_{f}(n)\\mu (n) \\exp (2\\pi i n \\alpha)$ as $n$ takes consecutive integral values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-23T14:10:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "möbius function",
      "strong orthogonality",
      "additive characters",
      "th nomalized fourier coefficient",
      "hecke-maass cusp form"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.5507F"
    }
  }
}