Geodesic
Refined counting of core partitions into \(d\)-distinct parts
Hannah Burson1 ; Simone Sisneros-Thiry1 ; Armin Straub2
1University of Illinois at Urbana-Champaign
2University of South Alabama
The electronic journal of combinatorics, Tome 28 (2021) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Using a combinatorial bijection with certain abaci diagrams, Nath and Sellers have enumerated $(s,ms\pm 1)$-core partitions into distinct parts. We generalize their result in several directions by including the number of parts of these partitions, by considering $d$-distinct partitions, and by allowing more general $(s,ms\pm r)$-core partitions. As an application of our approach, we obtain the average and maximum number of parts of these core partitions.
DOI : 10.37236/9665
Classification : 05A17, 05A15, 11P81
Mots-clés : abaci diagrams, \(d\)-distinct partitions

Hannah Burson  1   ; Simone Sisneros-Thiry  1   ; Armin Straub  2

1 University of Illinois at Urbana-Champaign
2 University of South Alabama 
@article{10_37236_9665,
     author = {Hannah Burson and Simone Sisneros-Thiry and Armin Straub},
     title = {Refined counting of core partitions into \(d\)-distinct parts},
     journal = {The electronic journal of combinatorics},
     year = {2021},
     volume = {28},
     number = {1},
     doi = {10.37236/9665},
     zbl = {1458.05022},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/9665/}
}
TY  - JOUR
AU  - Hannah Burson
AU  - Simone Sisneros-Thiry
AU  - Armin Straub
TI  - Refined counting of core partitions into \(d\)-distinct parts
JO  - The electronic journal of combinatorics
PY  - 2021
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/9665/
DO  - 10.37236/9665
ID  - 10_37236_9665
ER  - 
%0 Journal Article
%A Hannah Burson
%A Simone Sisneros-Thiry
%A Armin Straub
%T Refined counting of core partitions into \(d\)-distinct parts
%J The electronic journal of combinatorics
%D 2021
%V 28
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/9665/
%R 10.37236/9665
%F 10_37236_9665
Hannah Burson; Simone Sisneros-Thiry; Armin Straub. Refined counting of core partitions into \(d\)-distinct parts. The electronic journal of combinatorics, Tome 28 (2021) no. 1. doi: 10.37236/9665

Cité par Sources :