{
  "id": "2411.06783",
  "version": "v1",
  "published": "2024-11-11T08:23:11.000Z",
  "updated": "2024-11-11T08:23:11.000Z",
  "title": "Prime Gaps In The Gaussian Integers",
  "authors": [
    "Kyle Bradford",
    "James Taylor",
    "George Volz"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we create a definition for prime gaps in the Gaussian integers using a boxcar metric. From this we used numerical methods to derive an asymptotic upper bound for the gaps in this scenario, namely O(log^2|p_{n}|).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-11T08:23:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian integers",
      "prime gaps",
      "asymptotic upper bound",
      "boxcar metric",
      "definition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}