{
  "id": "1803.10051",
  "version": "v4",
  "published": "2018-03-27T12:56:10.000Z",
  "updated": "2018-04-16T13:40:29.000Z",
  "title": "Congruences for Apéry-like numbers",
  "authors": [
    "Zhi-Hong Sun"
  ],
  "comment": "add more conjectures",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In this paper we obtain many congruences involving Ap\\'ery-like numbers and pose many challenging conjectures on congruences modulo $p^3$, where $p>3$ is a prime.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2018-04-16T13:40:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "05A10",
      "05A19",
      "11A15",
      "11B50",
      "11B68",
      "11E25"
    ],
    "keywords": [
      "apéry-like numbers",
      "congruences modulo",
      "apery-like numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}