{
  "id": "0912.0173",
  "version": "v2",
  "published": "2009-12-01T14:59:31.000Z",
  "updated": "2010-09-02T12:00:12.000Z",
  "title": "Congruences via modular forms",
  "authors": [
    "Robert Osburn",
    "Brundaban Sahu"
  ],
  "comment": "8 pages, revised version, to appear in Proceedings of the AMS",
  "journal": "Proceedings of the AMS, 139, no. 7, (2011) 2375-2381",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We prove two congruences for the coefficients of power series expansions in t of modular forms where t is a modular function. As a result, we settle two recent conjectures of Chan, Cooper and Sica. Additionally, we provide a table of congruences for numbers which appear in similar power series expansions and in the study of integral solutions of Apery-like differential equations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-02T12:00:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "11F11"
    ],
    "keywords": [
      "modular forms",
      "congruences",
      "similar power series expansions",
      "modular function",
      "integral solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.0173O"
    }
  }
}