{
  "id": "1612.04548",
  "version": "v1",
  "published": "2016-12-14T09:24:26.000Z",
  "updated": "2016-12-14T09:24:26.000Z",
  "title": "Sums of Fractions and Finiteness of Monodromy",
  "authors": [
    "Eknath Ghate",
    "T. N. Venkataramana"
  ],
  "comment": "23 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We solve an elementary number theory problem on sums of fractional parts, using methods from group theory. We apply our result to deduce the finiteness of certain monodromy representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-14T09:24:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C65"
    ],
    "keywords": [
      "finiteness",
      "elementary number theory problem",
      "monodromy representations",
      "group theory",
      "fractional parts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}