{
  "id": "1103.5384",
  "version": "v5",
  "published": "2011-03-28T14:57:07.000Z",
  "updated": "2013-02-06T13:28:25.000Z",
  "title": "Some conjectures on congruences",
  "authors": [
    "Zhi-Hong Sun"
  ],
  "comment": "Conjecture 4.46 is new",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Let $p$ be an odd prime. In the paper we collect the author's various conjectures on congruences modulo $p$ or $p^2$, which are concerned with sums of binomial coefficients, Lucas sequences, power residues and special binary quadratic forms.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-02-06T13:28:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "05A10",
      "11B39",
      "11E25"
    ],
    "keywords": [
      "conjectures",
      "special binary quadratic forms",
      "odd prime",
      "congruences modulo",
      "power residues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.5384S"
    }
  }
}