Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integers

Details Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integers Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integers

2009-02-19

arxiv.org/abs/0902.3419v1

Mathematics

Number Theory

14 pages

Scientific paper

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.

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