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

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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.
14 pages

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Number Theory, 10K20

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http://salesiana.dossiersoluciones.com/handle/123456789/220690

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.3419
 http://arxiv.org/abs/0902.3419

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arXiv