Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao (Q405247)
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scientific article; zbMATH DE number 6340208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao |
scientific article; zbMATH DE number 6340208 |
Statements
Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao (English)
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4 September 2014
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Summary: We revisit a classic partition theorem due to MacMahon that relates partitions with all parts repeated at least once and partitions with parts congruent to \(2,3,4,6 \pmod 6\), together with a generalization by Andrews and two others by Subbarao. Then we develop a unified bijective proof for all four theorems involved, and obtain a natural further generalization as a result.
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partition
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residue classes
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bijection
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generating function
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