Article ID Journal Published Year Pages File Type
4656042 Journal of Combinatorial Theory, Series A 2009 18 Pages PDF
Abstract

By generalizing Gessel–Xin's Laurent series method for proving the Zeilberger–Bressoud q-Dyson Theorem, we establish a family of q-Dyson style constant term identities. These identities give explicit formulas for certain coefficients of the q-Dyson product, including three conjectures of Sills' as special cases and generalizing Stembridge's first layer formulas for characters of SL(n,C).

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics