1 Ocak 2008 Dergi makalesi Açık Erişim

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

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/39203</identifier>
  <creators>
    <creator>
      <creatorName>Alkan, E.</creatorName>
      <givenName>E.</givenName>
      <familyName>Alkan</familyName>
      <affiliation>Koc Univ, Dept Math, TR-34450 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ledoan, A. H.</creatorName>
      <givenName>A. H.</givenName>
      <familyName>Ledoan</familyName>
      <affiliation>Univ Rochester, Dept Math, Rochester, NY 14627 USA</affiliation>
    </creator>
    <creator>
      <creatorName>Zaharescu, A.</creatorName>
      <givenName>A.</givenName>
      <familyName>Zaharescu</familyName>
      <affiliation>Univ Illinois, Dept Math, Urbana, IL 61801 USA</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Asymptotic Behavior Of The Irrational Factor</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2008</publicationYear>
  <dates>
    <date dateType="Issued">2008-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/39203</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s10474-008-7212-9</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="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 &amp;gt;= 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).</description>
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