Bijective proofs of partition identities of MacMahon, Andrews, and Subbarao

Shishuo Fu, James Allen Sellers

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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(mod6), 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.

Original languageEnglish (US)
JournalElectronic Journal of Combinatorics
Issue number2
StatePublished - May 28 2014

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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