{
  "id": "2312.13613",
  "version": "v1",
  "published": "2023-12-21T07:02:21.000Z",
  "updated": "2023-12-21T07:02:21.000Z",
  "title": "Reduction on the congruences of partial sums of P-recursive sequences",
  "authors": [
    "Qing-Hu Hou",
    "Na Li"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Hou and Liu developed a telescoping method to prove the congruence of partial sums of P-recursive sequences. We release the requirement on the telescoper and utilize the congruence of the sequence. With this approach, we are able to confirm a conjecture of Sun and find a new congruence on the central trinomial coefficient.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-21T07:02:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33F10",
      "11A07",
      "05A19",
      "11B65"
    ],
    "keywords": [
      "partial sums",
      "p-recursive sequences",
      "congruence",
      "central trinomial coefficient",
      "requirement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}