{
  "id": "2109.09639",
  "version": "v1",
  "published": "2021-09-20T15:46:47.000Z",
  "updated": "2021-09-20T15:46:47.000Z",
  "title": "Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$",
  "authors": [
    "Yasuaki Gyoda"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In this paper, we give a specific way of describing positive integer solutions of a Diophantine equation $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$ and introduce a generalized cluster pattern behind it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-20T15:46:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D25",
      "13F60"
    ],
    "keywords": [
      "positive integer solutions",
      "specific way",
      "diophantine equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}