{
  "id": "1102.4644",
  "version": "v1",
  "published": "2011-02-23T00:21:41.000Z",
  "updated": "2011-02-23T00:21:41.000Z",
  "title": "On the convergence of some alternating series",
  "authors": [
    "Angel V. Kumchev"
  ],
  "journal": "Ramanujan J. 30 (2013), 101-116",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the convergence sets of a class of alternating series. Among other things, our results establish the convergence of the series $\\sum_n (-1)^n|\\sin n|/n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-23T00:21:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "alternating series",
      "convergence sets"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.4644K"
    }
  }
}