On factorizations into coprime parts
Let [Formula: see text] and [Formula: see text] be the number of unordered and ordered factorizations of [Formula: see text] into integers larger than one. Let [Formula: see text] and [Formula: see text] have the additional restriction that the factors are coprime. We establish asymptotic bounds for the sums of [Formula: see text] and [Formula: see text] up to [Formula: see text] for all real [Formula: see text] and the asymptotic bounds for [Formula: see text] and [Formula: see text] for all negative [Formula: see text].
2005 ◽
Vol 25
(4)
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pp. 1209-1220
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2000 ◽
Vol 37
(43)
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pp. 6221-6237
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2008 ◽
Vol 21
(4)
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pp. 865-899
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2013 ◽
Vol 16
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pp. 78-108
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1990 ◽
Vol 36
(6)
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pp. 1470-1472
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