{
  "id": "2401.07956",
  "version": "v1",
  "published": "2024-01-15T20:44:21.000Z",
  "updated": "2024-01-15T20:44:21.000Z",
  "title": "Vanishing coefficients in two $q$-series related to Legendre-signed partitions",
  "authors": [
    "Taylor Daniels"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We demonstrate some 10-periodic properties of the coefficients of two $q$-series related to partition numbers signed by the Legendre symbol $(\\frac{a}{5})$ and to the Rogers-Ramanujan continued fraction $R(q)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-15T20:44:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B65",
      "11P83"
    ],
    "keywords": [
      "legendre-signed partitions",
      "vanishing coefficients",
      "partition numbers",
      "legendre symbol"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}