Congruences in ordered pairs of partitions (Q1777718)
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scientific article; zbMATH DE number 2171612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruences in ordered pairs of partitions |
scientific article; zbMATH DE number 2171612 |
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Congruences in ordered pairs of partitions (English)
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25 May 2005
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Summary: Dyson defined the rank of a partition (as the first part minus the number of parts) whilst investigating certain congruences in the sequence \(p_{-1} (n)\). The rank has been widely studied as have been other statistics, such as the crank. In this paper a `birank' is defined which relates to ordered pairs of partitions, and is used in an elementary proof of a congruence in \(p_{-2}(n)\).
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statistics
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0.93315995
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0.9149823
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0.91467845
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