On the refined 3-enumeration of alternating sign matrices
Abstract
Description
An explicit expression for the numbers $A(n,r;3)$ describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, $A(n,r;3)$'s are represented as 1-fold sums which can also be written in terms of terminating ${}_4F_3$ series of argument 1/4.
Some comments and references added. To appear in the David Robbins memorial issue of Advances in Applied Mathematics
Some comments and references added. To appear in the David Robbins memorial issue of Advances in Applied Mathematics