"A generalization of a 1998 unimodality conjecture of Reiner and Stanto" by Richard P. Stanley and Fabrizio Zanello
 

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

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