{
  "id": "1401.4226",
  "version": "v1",
  "published": "2014-01-17T02:43:58.000Z",
  "updated": "2014-01-17T02:43:58.000Z",
  "title": "Some applications of eta-quotients",
  "authors": [
    "Ick Sun Eum",
    "Ja Kyung Koo",
    "Dong Hwa Shin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that every modular form on $\\Gamma_0(2^n)$ ($n\\geq2$) can be expressed as a sum of eta-quotients. Furthermore, we construct a primitive generator of the ring class field of the order of conductor $4N$ ($N\\geq1$) in an imaginary quadratic field in view of the special value of certain eta-quotient.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-17T02:43:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F20",
      "11F11",
      "11R37"
    ],
    "keywords": [
      "eta-quotient",
      "applications",
      "imaginary quadratic field",
      "modular form",
      "special value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.4226E"
    }
  }
}