{
  "id": "1511.00246",
  "version": "v1",
  "published": "2015-11-01T13:24:20.000Z",
  "updated": "2015-11-01T13:24:20.000Z",
  "title": "New congruences for 2-color partitions",
  "authors": [
    "Shane Chern"
  ],
  "comment": "7 pages. Submitted",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Let $p_k(n)$ denote the number of $2$-color partitions of $n$ where one of the colors appears only in parts that are multiples of $k$. We will prove a conjecture of Ahmed, Baruah, and Dastidar on congruences modulo $5$ for $p_k(n)$. Moreover, we will present some new congruences modulo $7$ for $p_4(n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-01T13:24:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P83",
      "05A17"
    ],
    "keywords": [
      "congruences modulo",
      "color partitions",
      "colors appears"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151100246C"
    }
  }
}