Delange’s Tauberian theorem and asymptotic normality of random ordered factorizations of integers
نویسنده
چکیده
By a suitable shifting-the-mean parametrization at the Dirichlet series level and Delange’s Tauberian theorems, we show that the number of factors in random ordered factorizations of integers is asymptotically normally distributed.
منابع مشابه
A central limit theorem for random ordered factorizations of integers
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 ...
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