{
  "id": "1712.05503",
  "version": "v1",
  "published": "2017-12-15T01:49:08.000Z",
  "updated": "2017-12-15T01:49:08.000Z",
  "title": "On averages of sums over regular integers modulo $n$",
  "authors": [
    "Waseem Alass"
  ],
  "comment": "33 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we provide various formulas for partial sums of weighted averages over regular integers modulo $n$ of the $\\gcd$-sum function with any arithmetical function involving the Bernoulli polynomials and the Gamma function. Many interesting applications of the results are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-15T01:49:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11N37"
    ],
    "keywords": [
      "regular integers modulo",
      "partial sums",
      "sum function",
      "bernoulli polynomials",
      "gamma function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}