Dergi makalesi Açık Erişim
Alkan, E.; Ledoan, A. H.; Zaharescu, A.
{
"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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