Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integers
classification
🧮 math.NT
keywords
delangefactorizationsintegersorderedrandomtauberianasymptoticasymptotically
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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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