{
  "id": "1609.08578",
  "version": "v1",
  "published": "2016-09-27T18:55:44.000Z",
  "updated": "2016-09-27T18:55:44.000Z",
  "title": "Arithmetic properties for cubic partition pairs modulo powers of 3",
  "authors": [
    "Shane Chern"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Let $b(n)$ denote the number of cubic partition pairs of $n$. In this paper, we aim to provide a strategy to obtain arithmetic properties of $b(n)$. This gives affirmative answers to two of Lin's conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-27T18:55:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P83"
    ],
    "keywords": [
      "cubic partition pairs modulo powers",
      "arithmetic properties",
      "lins conjectures",
      "affirmative answers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}