A central limit theorem for random ordered factorizations of integers
2011 (English)In: Electronic Journal of Probability, ISSN 1083-6489, Vol. 16, 347-361 p.Article in journal (Refereed) Published
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.
Tauberian theorems, asymptotic normality, ordered factorizations, method of moments, Dirichlet series
IdentifiersURN: 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.v18-22972011-03-092011-03-092013-03-14Bibliographically approved