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math.CO2017
Refined Cyclic Sieving on Words for the Major Index Statistic
Connor Ahlbach, Joshua Swanson
Reiner-Stanton-White defined the cyclic sieving phenomenon (CSP) associated to a finite cyclic group action and a polynomial. A key example arises from the length generating functi…
math.CO2017
On the Existence of Tableaux with Given Modular Major Index
Joshua P. Swanson
We provide simple necessary and sufficient conditions for the existence of a standard Young tableau of a given shape and major index mod , for all . Our result generalize…