{
  "id": "0801.2796",
  "version": "v1",
  "published": "2008-01-18T00:13:14.000Z",
  "updated": "2008-01-18T00:13:14.000Z",
  "title": "Sums with multiplicative functions over a Beatty sequence",
  "authors": [
    "Ahmet M. Guloglu",
    "C. Wesley Nevans"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We study sums with multiplicative functions that take values over a non-homogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas such as the number of integers in a Beatty sequence representable as a sum of two squares up to a given magnitude.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-18T00:13:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E25",
      "11B83"
    ],
    "keywords": [
      "multiplicative functions",
      "non-homogenous beatty sequence",
      "special cases",
      "asymptotic formulas",
      "study sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.2796G"
    }
  }
}