New proofs of determinant evaluations related to plane partitions
Journal article, 2012
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 results, including a q-analogue of Andrews's determinant.
Plane partitions
enumeration
macdonald conjecture
Determinant evaluations
Orthogonal polynomials
6-vertex model
Author
Hjalmar Rosengren
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Electronic Journal of Combinatorics
1097-1440 (ISSN) 1077-8926 (eISSN)
Vol. 19 4 Paper 15-Subject Categories (SSIF 2011)
Mathematics
Roots
Basic sciences
DOI
10.37236/2357