Dominance Theory and Plane Partitions——V.Enumeration of Ordinary Plane Partitlons

Let E（n;q） denote the GF for ordinary plane partitions of shape λ with part restrictions and n （i.e., the parts in ith row are not less than nand the largest part in partitions does not exceed n）. By establishing the correspondence between reverse plane partitions and ordinary plane partitions,we have derived the following determinant expression.