{
  "id": "1811.06022",
  "version": "v1",
  "published": "2018-11-14T19:21:50.000Z",
  "updated": "2018-11-14T19:21:50.000Z",
  "title": "On the multivariable generalization of Anderson-Apostol sums",
  "authors": [
    "Isao Kiuchi",
    "Friedrich Pillichshammer",
    "Sumaia Saad Eddin"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we give various identities for the weighted average of the product of generalized Anderson-Apostol sums with weights concerning completely multiplicative function, completely additive function, logarithms, the Gamma function, the Bernoulli polynomials, and binomial coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-14T19:21:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11N37",
      "11Y60"
    ],
    "keywords": [
      "multivariable generalization",
      "generalized anderson-apostol sums",
      "gamma function",
      "bernoulli polynomials",
      "binomial coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}