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

Shishuo Fu, James Allen Sellers

Research output: Contribution to journalArticle

Abstract

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
Volume21
Issue number2
StatePublished - May 28 2014

Fingerprint

Partition Identities
Bijective
Partition
Congruent
Theorem
Generalization

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Theoretical Computer Science
  • Computational Theory and Mathematics

Cite this

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Bijective proofs of partition identities of MacMahon, Andrews, and Subbarao. / Fu, Shishuo; Sellers, James Allen.

In: Electronic Journal of Combinatorics, Vol. 21, No. 2, 28.05.2014.

Research output: Contribution to journalArticle

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