{
  "id": "1608.03957",
  "version": "v1",
  "published": "2016-08-13T09:04:01.000Z",
  "updated": "2016-08-13T09:04:01.000Z",
  "title": "Mock characters and the Kronecker symbol",
  "authors": [
    "Jean-Paul Allouche",
    "Leo Goldmakher"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce and study a family of functions we call the \"mock characters\". These functions satisfy a number of interesting properties, and of all completely multiplicative arithmetic functions seem to come as close as possible to being Dirichlet characters. Along the way we prove a few new results concerning the behavior of the Kronecker symbol.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-13T09:04:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A15",
      "11B85",
      "11N99",
      "68R15"
    ],
    "keywords": [
      "kronecker symbol",
      "mock characters",
      "functions satisfy",
      "multiplicative arithmetic functions",
      "dirichlet characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}