New Proofs of Determinant Evaluations Related to Plane Partitions

Hjalmar Rosengren

Abstract


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.

Keywords


Plane partitions; Determinant evaluations; Orthogonal polynomials

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