{
  "id": "1207.1609",
  "version": "v2",
  "published": "2012-07-06T12:40:10.000Z",
  "updated": "2012-08-05T05:51:55.000Z",
  "title": "Some applications of modular units",
  "authors": [
    "Ick Sun Eum",
    "Ja Kyung Koo",
    "Dong Hwa Shin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that a weakly holomorphic modular function can be written as a sum of modular units of higher level. We further find a necessary and sufficient condition for a Siegel modular function of degree $g$ to have neither zero nor pole on the domain when restricted to certain subset of the Siegel upper half-space $\\mathbb{H}_g$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-05T05:51:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G16",
      "11F03",
      "11F46"
    ],
    "keywords": [
      "modular units",
      "applications",
      "weakly holomorphic modular function",
      "siegel modular function",
      "siegel upper half-space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.1609E"
    }
  }
}