@inbook{f7e32fec32da4e04b4d8332be41b599e,

title = "Non-standard limit theorems in number theory",

abstract = "We prove a non-standard limit theorem for a sequence of random variables connected with the classical M{\"o}bius function. The so-called Dickman-De Bruijn distribution appears in the limit. We discuss some of its properties, and we provide a number of estimates for the error term in the limit theorem.",

keywords = "Dickman-De Bruijn distribution, Infinite divisibility, Limit theorems, M{\"o}bius function",

author = "Francesco Cellarosi and Sinai, {Yakov G.}",

year = "2013",

month = sep,

day = "3",

doi = "10.1007/978-3-642-33549-5_10",

language = "English (US)",

isbn = "9783642335488",

series = "Springer Proceedings in Mathematics and Statistics",

pages = "197--213",

booktitle = "Prokhorov and Contemporary Probability Theory",

}