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A central limit theorem for integer partitions

✍ Scribed by Manfred Madritsch; Stephan Wagner

Book ID: 106198720
Publisher: Springer Vienna
Year: 2009
Tongue: English
Weight: 391 KB
Volume: 161
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-009-0126-y

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✦ Synopsis

Recently, Hwang proved a central limit theorem for restricted ☺-partitions, where ☺ can be any nondecreasing sequence of integers tending to infinity that satisfies certain technical conditions. In particular, one of these conditions is that the associated Dirichlet series has only a single pole on the abscissa of convergence. In the present paper, we show that this condition can be relaxed, and provide some natural examples that arise from the study of integers with restrictions on their digital (base-b) expansion.

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