1 Ocak 2008 Dergi makalesi Açık Erişim

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

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        "affiliation": "Koc Univ, Dept Math, TR-34450 Istanbul, Turkey", 
        "name": "Alkan, E."
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      {
        "affiliation": "Univ Rochester, Dept Math, Rochester, NY 14627 USA", 
        "name": "Ledoan, A. H."
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        "affiliation": "Univ Illinois, Dept Math, Urbana, IL 61801 USA", 
        "name": "Zaharescu, A."
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    "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).", 
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    "journal": {
      "issue": "3", 
      "pages": "293-305", 
      "title": "ACTA MATHEMATICA HUNGARICA", 
      "volume": "121"
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    "publication_date": "2008-01-01", 
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    "title": "ASYMPTOTIC BEHAVIOR OF THE IRRATIONAL FACTOR"
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