A Meinardus theorem with multiple singularities

DOI10.1007/s00220-012-1526-8zbMath1255.60012arXiv1102.5608OpenAlexW2040753208MaRDI QIDQ453341

Dudley Stark, Boris L. Granovsky

Publication date: 19 September 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5608

zbMATH Keywords

Dirichlet generating functionMeinardus' theoremweighted partition

Mathematics Subject Classification ID

Combinatorial probability (60C05) Statistical mechanics of gases (82D05)

Related Items (7)

Note on square-root partitions into distinct parts ⋮ A central limit theorem for integer partitions into small powers ⋮ Developments in the Khintchine-Meinardus probabilistic method for asymptotic enumeration ⋮ Asymptotic enumeration by Khintchine-Meinardus probabilistic method: necessary and sufficient conditions for sub-exponential growth ⋮ An explicit bound for the number of partitions into roots ⋮ M2-branes and plane partitions ⋮ The asymptotic number of weighted partitions with a given number of parts

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• Tauberian Theory
• Asymptotic counting of BPS operators in superconformal field theories
• A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions
• A central limit theorem for integer partitions

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