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ASYMPTOTIC BEHAVIOR OF THE IRRATIONAL FACTOR

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


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{
  "DOI": "10.1007/s10474-008-7212-9", 
  "abstract": "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).", 
  "author": [
    {
      "family": "Alkan", 
      "given": " E."
    }, 
    {
      "family": "Ledoan", 
      "given": " A. H."
    }, 
    {
      "family": "Zaharescu", 
      "given": " A."
    }
  ], 
  "container_title": "ACTA MATHEMATICA HUNGARICA", 
  "id": "39203", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2008, 
        1, 
        1
      ]
    ]
  }, 
  "page": "293-305", 
  "title": "ASYMPTOTIC BEHAVIOR OF THE IRRATIONAL FACTOR", 
  "type": "article-journal", 
  "volume": "121"
}
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