{
  "id": "math/0610274",
  "version": "v2",
  "published": "2006-10-09T08:07:25.000Z",
  "updated": "2009-10-10T08:12:53.000Z",
  "title": "On certain arithmetic functions involving exponential divisors",
  "authors": [
    "László Tóth"
  ],
  "comment": "some misprints corrected",
  "journal": "Annales Univ. Sci. Budapest., Sect. Comp., 24 (2004), 285-294",
  "categories": [
    "math.NT"
  ],
  "abstract": "The integer $d$ is called an exponential divisor of $n=\\prod_{i=1}^r p_i^{a_i}>1$ if $d=\\prod_{i=1}^r p_i^{c_i}$, where $c_i \\mid a_i$ for every $1\\le i \\le r$. The integers $n=\\prod_{i=1}^r p_i^{a_i}, m=\\prod_{i=1}^r p_i^{b_i}>1$ having the same prime factors are called exponentially coprime if $(a_i,b_i)=1$ for every $1\\le i\\le r$. In the paper we investigate asymptotic properties of certain arithmetic functions involving exponential divisors and exponentially coprime integers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-10T08:12:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11N37"
    ],
    "keywords": [
      "exponential divisor",
      "arithmetic functions",
      "prime factors",
      "exponentially coprime integers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10274T"
    }
  }
}