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Bijective Proofs of Partition Identities of MacMahon, Andrews, and Subbarao
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014).

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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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     author = {Fu, Shishuo and Sellers, James},
     title = {Bijective {Proofs} of {Partition} {Identities} of {MacMahon,} {Andrews,} and {Subbarao}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
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     year = {2014},
     doi = {10.46298/dmtcs.2400},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2400/}
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Fu, Shishuo; Sellers, James. Bijective Proofs of Partition Identities of MacMahon, Andrews, and Subbarao. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014). doi : 10.46298/dmtcs.2400. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2400/

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