31 citations · 158 across the 54 of their papers we have counts for
6 papers · 2 filters
New examples of period collapse
Dan Cristofaro-Gardiner, Teresa Xueshan Li, Richard Stanley
"Period collapse" refers to any situation where the period of the Ehrhart function of a polytope is less than the denominator of that polytope. We study several interesting situati…
The Smith Normal Form of a Specialized Jacobi-Trudi Matrix
Richard P. Stanley
Let be the Jacobi-Trudi matrix corresponding to the partition , so is the Schur function in the variables . Set $x_1=\cd…
The Smith Normal Form Distribution of a Random Integer Matrix
Yinghui Wang, Richard P. Stanley
We show that the density of the Smith normal form (SNF) of a random integer matrix exists and equals a product of densities of SNF over wit…
Some asymptotic results on q-binomial coefficients
Richard P. Stanley, Fabrizio Zanello
We look at the asymptotic behavior of the coefficients of the -binomial coefficients (or Gaussian polynomials) , when is fixed. We give a number of results…
The Smith Normal Form of a Matrix Associated with Young's Lattice
Tommy Wuxing Cai, Richard P. Stanley
We prove a conjecture of Miller and Reiner on the Smith normal form of the operator associated with a differential poset for the special case of Young's lattice. Equivalently,…
Supersolvability and Freeness for -graphical Arrangements
Lili Mu, Richard P. Stanley
Let be a simple graph on the vertex set with edge set . Let be a field. The graphical arrangement in is the arrangement $x_i-x_…