Multiranks for partitions into multi-colors (Q426868)
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scientific article; zbMATH DE number 6045701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiranks for partitions into multi-colors |
scientific article; zbMATH DE number 6045701 |
Statements
Multiranks for partitions into multi-colors (English)
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12 June 2012
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Summary: We generalize Hammond-Lewis birank to multiranks for partitions into colors and give combinatorial interpretations for multipartitions such as \(b(n)\) defined by \textit{H. Zhao} and \textit{Z. Zhong} [Electron. J. Comb. 18, No. 1, Research Paper P58, 9 p. (2011; Zbl 1220.05006)] and \(Q_{p_1;p_2}(n)\) defined by Toh congruences modulo \(3, 5, 7\).
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partition congruences
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multirank
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Jacobi's triple product identity
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quintuple product identity
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