Rank and crank analogs for some colored partitions (Q888631)
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scientific article; zbMATH DE number 6502803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rank and crank analogs for some colored partitions |
scientific article; zbMATH DE number 6502803 |
Statements
Rank and crank analogs for some colored partitions (English)
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2 November 2015
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Summary: We establish some rank and crank analogs for partitions into distinct colors and give combinatorial interpretations for colored partitions such as partitions defined by \textit{P. C. Toh} [Discrete Math. 312, No. 6, 1244--1250 (2012; Zbl 1238.05024)], \textit{W. Zhang} and \textit{C. Wang} [Int. J. Number Theory 10, No. 3, 641--652 (2014; Zbl 1292.05046)] congruences modulo 5, 7.
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partition congruences
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rank analogs
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Jacobi's triple product identity
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Winquist's product identity
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