34 citations · 312 across the 53 of their papers we have counts for
5 papers · 1 filter
Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole
Hjalmar Rosengren
We obtain an explicit formula for a certain weighted enumeration of lozenge tilings of a hexagon with an arbitrary triangular hole. The complexity of our expression depends on the…
New proofs of determinant evaluations related to plane partitions
Hjalmar Rosengren
We give a new proof of a determinant evaluation due to Andrews, which has been used to enumerate cyclically symmetric and descending plane partitions. We also prove some related re…
The three-colour model with domain wall boundary conditions
Hjalmar Rosengren
We study the partition function for the three-colour model with domain wall boundary conditions. We express it in terms of certain special polynomials, which can be constructed rec…
An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
Hjalmar Rosengren
We obtain a new expression for the partition function of the 8VSOS model with domain wall boundary conditions, which we consider to be the natural extension of the Izergin-Korepin…
Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
Hjalmar Rosengren
We study Schur Q-polynomials evaluated on a geometric progression, or equivalently q-enumeration of marked shifted tableaux, seeking explicit formulas that remain regular at q=1. W…