{
  "id": "1302.1715",
  "version": "v4",
  "published": "2013-02-07T11:36:31.000Z",
  "updated": "2015-01-08T15:17:26.000Z",
  "title": "Transformation formulas for supercongruences involving binomial coefficients",
  "authors": [
    "Zhi-Hong Sun"
  ],
  "comment": "add many new conjectures on supercongruences",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In this paper we prove some transformation formulae for congruences modulo a prime and solve some conjectures of Z.W. Sun. We also pose 53 conjectures on congruences modulo prime powers.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-06T14:02:50.000Z",
      "title": "Transformation formulas for supercongruences",
      "abstract": "Let $p$ be a prime greater than 3. In the paper we prove some transformation formulae for supercongruences modulo $p$ and solve some conjectures of Z.W. Sun.",
      "comment": "15 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-01-08T15:17:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "33C20",
      "33C45",
      "05A10",
      "05A19"
    ],
    "keywords": [
      "transformation formulas",
      "prime greater",
      "transformation formulae"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.1715S"
    }
  }
}