{
  "id": "2401.09374",
  "version": "v1",
  "published": "2024-01-17T17:44:00.000Z",
  "updated": "2024-01-17T17:44:00.000Z",
  "title": "New relations of pod partition and its connection with other partition functions",
  "authors": [
    "Hemjyoti Nath"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "The number of partitions of $n$ wherein odd parts are distinct and even parts are unrestricted, often denoted by $pod(n)$. In this paper, we provide linear recurrence relations for $pod(n)$, and the connections of $pod(n)$ with other partition functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-17T17:44:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P81",
      "11P83"
    ],
    "keywords": [
      "partition functions",
      "pod partition",
      "connection",
      "linear recurrence relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}