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On the number of ordered factorizations of natural numbers

✍ Scribed by Benny Chor; Paul Lemke; Ziv Mador


Book ID
108316401
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
103 KB
Volume
214
Category
Article
ISSN
0012-365X

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✍ Hsien-Kuei Hwang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 289 KB

We study in detail the asymptotic behavior of the number of ordered factorizations with a given number of factors. Asymptotic formulae are derived for almost all possible values of interest. In particular, the distribution of the number of factors is asymptotically normal. Also we improve the error