1 Ocak 2008 Dergi makalesi Açık Erişim

Alkan, E.; Ledoan, A. H.; Zaharescu, A.

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  "@id": 39203, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Koc Univ, Dept Math, TR-34450 Istanbul, Turkey", 
      "name": "Alkan, E."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Univ Rochester, Dept Math, Rochester, NY 14627 USA", 
      "name": "Ledoan, A. H."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Univ Illinois, Dept Math, Urbana, IL 61801 USA", 
      "name": "Zaharescu, A."
    }
  ], 
  "datePublished": "2008-01-01", 
  "description": "We study the irrational factor function I(n) introduced by Atanassov and defined by I(n) = Pi(k)(k=1)p(v)(1/alpha v), where n = Pi(k)(v=1) p(v)(alpha v) is the prime factorization of n. We show that the sequence {G(n)/n}(n >= 1), where G(n) = Pi(n)(v=1) I(v)(1/n), is covergent; this answers a question of Panaitopol. We also establish asymptotic formulas for averages of the function I(n).", 
  "headline": "ASYMPTOTIC BEHAVIOR OF THE IRRATIONAL FACTOR", 
  "identifier": 39203, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "ASYMPTOTIC BEHAVIOR OF THE IRRATIONAL FACTOR", 
  "url": "https://aperta.ulakbim.gov.tr/record/39203"
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