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A central limit theorem for random ordered factorizations of integers
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2011 (English)In: Electronic Journal of Probability, ISSN 1083-6489, Vol. 16, 347-361 p.Article in journal (Refereed) Published
Abstract [en]

Write an integer as finite products of ordered factors belonging to a given subset P of integers larger than one. A very general central limit theorem is derived for the number of ordered factors in random factorizations for any subset P containing at least two elements. The method of proof is very simple and relies in part on Delange's Tauberian theorems and an interesting Tauberian technique for handling Dirichlet series associated with odd centered moments.

Place, publisher, year, edition, pages
2011. Vol. 16, 347-361 p.
Keyword [en]
Tauberian theorems, asymptotic normality, ordered factorizations, method of moments, Dirichlet series
National Category
URN: urn:nbn:se:uu:diva-148642ISI: 000287417600001OAI: oai:DiVA.org:uu-148642DiVA: diva2:402732

Correction in: Electronic Journal of Probability, vol. 18, pages 1-3

DOI: 10.1214/EJP.v18-2297

Available from: 2011-03-09 Created: 2011-03-09 Last updated: 2013-03-14Bibliographically approved

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