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Hardy-Ramanujan's asymptotic formula for partitions and the central limit theorem

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Publication:677493
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DOI10.1006/aima.1997.1599zbMath0873.60010OpenAlexW2052569520MaRDI QIDQ677493

Luis Báez-Duarte

Publication date: 9 April 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1599


zbMATH Keywords

generating functioncentral limit theorem


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)


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Khinchin families and Hayman class ⋮ An expansion for the number of partitions of an integer ⋮ Khinchin families, set constructions, partitions and exponentials ⋮ The asymptotic expansion for \(n!\) and the Lagrange inversion formula ⋮ Asymptotic formula of the number of Newton polygons ⋮ A probabilistic asymptotic study of the coefficients of a power series ⋮ Partitions of large unbalanced bipartites



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