{
  "id": "1105.0684",
  "version": "v2",
  "published": "2011-05-03T20:22:41.000Z",
  "updated": "2011-07-29T16:45:11.000Z",
  "title": "Two-divisibility of the coefficients of certain weakly holomorphic modular forms",
  "authors": [
    "Darrin Doud",
    "Paul Jenkins",
    "John Lopez"
  ],
  "comment": "Corrected typos. To appear in the Ramanujan Journal",
  "journal": "The Ramanujan Journal 28 (2012), no. 1, 89-111",
  "doi": "10.1007/s11139-011-9331-0",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study a canonical basis for spaces of weakly holomorphic modular forms of weights 12, 16, 18, 20, 22, and 26 on the full modular group. We prove a relation between the Fourier coefficients of modular forms in this canonical basis and a generalized Ramanujan tau-function, and use this to prove that these Fourier coefficients are often highly divisible by 2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-29T16:45:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F33",
      "11F11"
    ],
    "keywords": [
      "weakly holomorphic modular forms",
      "fourier coefficients",
      "two-divisibility",
      "canonical basis",
      "full modular group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.0684D"
    }
  }
}