{
  "id": "2307.05244",
  "version": "v1",
  "published": "2023-07-11T13:21:16.000Z",
  "updated": "2023-07-11T13:21:16.000Z",
  "title": "A new Andrews--Crandall-type identity and the number of integer solutions to $x^2+2y^2+2z^2=n$",
  "authors": [
    "Mariia Dospolova",
    "Ekaterina Kochetkova",
    "Eric T. Mortenson"
  ],
  "comment": "22 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using a higher-dimensional analog of an identity known to Kronecker, we discover a new Andrews--Crandall-type identity and use it to count the number of integer solutions to $x^2+2y^2+2z^2=n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-11T13:21:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integer solutions",
      "andrews-crandall-type identity",
      "higher-dimensional analog"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}