{
  "id": "1709.10189",
  "version": "v1",
  "published": "2017-09-28T22:17:42.000Z",
  "updated": "2017-09-28T22:17:42.000Z",
  "title": "Congruences for coefficients of level 2 modular functions with poles at 0",
  "authors": [
    "Paul Jenkins",
    "Ryan Keck",
    "Eric Moss"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give congruences modulo powers of 2 for the Fourier coefficients of certain level 2 modular functions with poles only at 0, answering a question posed by Andersen and the first author. The congruences involve a modulus that depends on the binary expansion of the modular form's order of vanishing at $\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-28T22:17:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11F37"
    ],
    "keywords": [
      "modular functions",
      "congruences modulo powers",
      "modular forms order",
      "fourier coefficients",
      "first author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}