A generalization of a 1998 unimodality conjecture of Reiner and Stanton
Document Type
Article
Publication Date
9-27-2019
Department
Department of Mathematical Sciences
Abstract
An interesting, and still wide open, conjecture of Reiner and Stanton predicts that certain “strange” symmetric differences of q-binomial coefficients are always nonnegative and unimodal. We extend their conjecture to a broader, and perhaps more natural, framework, by conjecturing that, for each k≥5, the polynomials...
Publication Title
Journal of Combinatorics
Recommended Citation
Stanley, R. P.,
&
Zanello, F.
(2019).
A generalization of a 1998 unimodality conjecture of Reiner and Stanton.
Journal of Combinatorics,
11(1), 111-126.
http://doi.org/10.4310/JOC.2020.v11.n1.a5
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1219