{
  "id": "2408.13879",
  "version": "v1",
  "published": "2024-08-25T16:01:27.000Z",
  "updated": "2024-08-25T16:01:27.000Z",
  "title": "Arithmetic of 2-regular partitions with distinct odd parts",
  "authors": [
    "Hemjyoti Nath"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $pod_2(n)$ denote the number of $2$-regular partitions of $n$ with distinct odd parts (even parts are unrestricted). In this article, we obtain congruences for $pod_2(n)$ mod $2$ and mod $8$ using some generating function manipulations and the theory of Hecke eigenform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-25T16:01:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P83",
      "11F11",
      "11F20"
    ],
    "keywords": [
      "distinct odd parts",
      "arithmetic",
      "regular partitions",
      "generating function manipulations",
      "hecke eigenform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}