Distribution of the number of factors in random ordered factorizations of integers

Authors
Hwang, HK
Citation
Hk. Hwang, Distribution of the number of factors in random ordered factorizations of integers, J NUMBER TH, 81(1), 2000, pp. 61-92
Citations number
25
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X → ACNP
Volume
81
Issue
1
Year of publication
2000
Pages
61 - 92
Database
ISI
SICI code
0022-314X(200003)81:1<61:DOTNOF>2.0.ZU;2-M
Abstract
We study in detail the asymptotic behavior of the number of ordered factori zations 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 term in Kalmar's problem of "factorisatio numerorum" and investigate the av erage number of district factors in a random ordered factorization. (C) 200 0 Academic Press.