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• W2040753208 abstract "Meinardus proved a general theorem about the asymptotics of the number of weighted partitions, when the Dirichlet generating function for weights has a single pole on the positive real axis. Continuing cite{GSE}, we derive asymptotics for the numbers of three basic types of decomposable combinatorial structures (or, equivalently, ideal gas models in statistical mechanics) of size $n$, when their Dirichlet generating functions have multiple simple poles on the positive real axis. Examples to which our theorem applies include ones related to vector partitions and quantum field theory. Our asymptotic formula for the number of weighted partitions disproves the belief accepted in the physics literature that the main term in the asymptotics is determined by the rightmost pole." @default.
• W2040753208 created "2016-06-24" @default.
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• W2040753208 date "2012-08-01" @default.
• W2040753208 modified "2023-10-05" @default.
• W2040753208 title "A Meinardus Theorem with Multiple Singularities" @default.
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• W2040753208 doi "https://doi.org/10.1007/s00220-012-1526-8" @default.
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