DOAJ Open Access 2014

Bijective Proofs of Partition Identities of MacMahon, Andrews, and Subbarao

Shishuo Fu James Sellers

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (2)

Shishuo Fu

James Sellers

Format Sitasi

APA MLA BibTeX

Fu, S., Sellers, J. (2014). Bijective Proofs of Partition Identities of MacMahon, Andrews, and Subbarao. https://doi.org/10.46298/dmtcs.2400

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2400

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2400
Akses: Open Access ✓