{
  "id": "2006.07704",
  "version": "v1",
  "published": "2020-06-13T19:28:21.000Z",
  "updated": "2020-06-13T19:28:21.000Z",
  "title": "Truncated theta series and partitions into distinct parts",
  "authors": [
    "Mircea Merca"
  ],
  "comment": "Some of the results obtained in this article were presented at Transient Transcendence In Transylvania, Brasov, Romania, May 13-17, 2019. https://specfun.inria.fr/bostan/trans19/slides/Merca.pdf",
  "categories": [
    "math.CO"
  ],
  "abstract": "Linear inequalities involving Euler's partition function $p(n)$ have been the subject of recent studies. In this article, we consider the partition function $Q(n)$ counting the partitions of $n$ into distinct parts. Using truncated theta series, we provide four infinite families of linear inequalities for $Q(n)$ and partition theoretic interpretations for these results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-13T19:28:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P81",
      "11P83"
    ],
    "keywords": [
      "truncated theta series",
      "distinct parts",
      "linear inequalities",
      "eulers partition function",
      "partition theoretic interpretations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}