Dergi makalesi Açık Erişim
Alkan, E.; Ledoan, A. H.; Zaharescu, A.
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<dc:creator>Alkan, E.</dc:creator>
<dc:creator>Ledoan, A. H.</dc:creator>
<dc:creator>Zaharescu, A.</dc:creator>
<dc:date>2008-01-01</dc:date>
<dc: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).</dc:description>
<dc:identifier>https://aperta.ulakbim.gov.trrecord/39203</dc:identifier>
<dc:identifier>oai:zenodo.org:39203</dc:identifier>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
<dc:source>ACTA MATHEMATICA HUNGARICA 121(3) 293-305</dc:source>
<dc:title>ASYMPTOTIC BEHAVIOR OF THE IRRATIONAL FACTOR</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
<dc:type>publication-article</dc:type>
</oai_dc:dc>
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