On partitions without small parts (Q5939707)
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scientific article; zbMATH DE number 1626609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On partitions without small parts |
scientific article; zbMATH DE number 1626609 |
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On partitions without small parts (English)
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30 July 2001
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The authors apply the saddle point method to the generating function of the partition function \(r(n,m)\), which counts the number of partitions of \(n\) into parts, each of which is at least \(m\). They obtain an asymptotic estimate which holds for large \(n\) and \(1\leq m\leq c_1n/ (\log n)^{c_2}\).
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saddle point method
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generating function
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partition function
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asymptotic estimate
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