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