Document Type
Article
Publication Date
3-31-2015
Abstract
A beautiful recent conjecture of D. Armstrong predicts the average size of a partition that is simultaneously an s-core and a t-core, where s and t are coprime. Our goal is to prove this conjecture when t = s + 1. These simultaneous (s, s + 1)-core partitions, which are enumerated by Catalan numbers, have average size ((s+1)/3)/2.
Publication Title
SIAM Journal on Discrete Mathematics
Recommended Citation
Stanley, R.,
&
Zanello, F.
(2015).
The Catalan case of Armstrong's conjecture on simultaneous core partitions Read More: https://epubs.siam.org/doi/10.1137/130950318.
SIAM Journal on Discrete Mathematics,
29(1), 658-666.
http://doi.org/10.1137/130950318
Retrieved from: https://digitalcommons.mtu.edu/math-fp/56
Version
Publisher's PDF
Publisher's Statement
© 2015, Society for Industrial and Applied Mathematics. Publisher’s version of record: https://doi.org/10.1137/130950318