{
  "id": "1805.08759",
  "version": "v1",
  "published": "2018-05-22T17:45:05.000Z",
  "updated": "2018-05-22T17:45:05.000Z",
  "title": "Asymptotics for the Fourier coefficients of eta-quotients",
  "authors": [
    "Shane Chern"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the asymptotics for the Fourier coefficients of a broad class of eta-quotients, $$\\prod_{r=1}^R \\left(\\prod_{k\\ge 1}\\left(1-q^{m_r k}\\right)\\right)^{\\delta_r},$$ where $m_1,\\ldots,m_R$ are $R$ distinct positive integers and $\\delta_1,\\ldots,\\delta_R$ are $R$ non-zero integers with $\\sum_{r=1}^R \\delta_{r}\\ge 0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-22T17:45:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P55",
      "11P82"
    ],
    "keywords": [
      "fourier coefficients",
      "asymptotics",
      "eta-quotients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}