Geodesic
Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao
Shishuo Fu1 ; James Allen Sellers2
1Chongqing University
2The Pennsylvania State University-University Park
The electronic journal of combinatorics, Tome 21 (2014) no. 2
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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.
DOI : 10.37236/3907
Classification : 05A17, 05A15, 11P81
Mots-clés : partition, residue classes, bijection, generating function

Shishuo Fu  1   ; James Allen Sellers  2

1 Chongqing University
2 The Pennsylvania State University-University Park 
@article{10_37236_3907,
     author = {Shishuo Fu and James Allen Sellers},
     title = {Bijective proofs of partition identities of {Macmahon,} {Andrews,} and {Subbarao}},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {2},
     doi = {10.37236/3907},
     zbl = {1300.05034},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3907/}
}
TY  - JOUR
AU  - Shishuo Fu
AU  - James Allen Sellers
TI  - Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao
JO  - The electronic journal of combinatorics
PY  - 2014
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/3907/
DO  - 10.37236/3907
ID  - 10_37236_3907
ER  - 
%0 Journal Article
%A Shishuo Fu
%A James Allen Sellers
%T Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao
%J The electronic journal of combinatorics
%D 2014
%V 21
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/3907/
%R 10.37236/3907
%F 10_37236_3907
Shishuo Fu; James Allen Sellers. Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3907

Cité par Sources :