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

Research output: Contribution to journalArticle

1 Scopus citations

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
Externally publishedYes

Keywords

  • Bijection
  • Generating function
  • Partition
  • Residue classes

Fingerprint Dive into the research topics of 'Bijective proofs of partition identities of MacMahon, Andrews, and Subbarao'. Together they form a unique fingerprint.

Cite this