Vlad Bally, Lucia Caramellino
Published 2014-07-03, updated 2016-04-05Version 2
The aim of this paper is to study the asymptotic expansion in total variation in the Central Limit Theorem when the law of the basic random variable is locally lower-bounded by the Lebesgue measure (or equivalently, has an absolutely continuous component): we develop the error in powers of $n^{-1/2}$ and give an explicit formula for the approximating measure.
A central limit theorem for the zeroes of the zeta function
Central limit theorem for multiplicative class functions on the symmetric group
The Modulo 1 Central Limit Theorem and Benford's Law for Products
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