{
  "id": "2103.05413",
  "version": "v1",
  "published": "2021-03-09T13:24:32.000Z",
  "updated": "2021-03-09T13:24:32.000Z",
  "title": "Sign changes of the partial sums of a random multiplicative function",
  "authors": [
    "Marco Aymone",
    "Winston Heap",
    "Jing Zhao"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT",
    "math.PR"
  ],
  "abstract": "We provide a simple proof that the partial sums $\\sum_{n\\leq x}f(n)$ of a Rademacher random multiplicative function $f$ change sign for an infinite number of $x>0$, almost surely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-09T13:24:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial sums",
      "sign changes",
      "rademacher random multiplicative function",
      "simple proof",
      "change sign"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}