A Family of $q$-Dyson Style Constant Term Identities
Commutative Algebra
2007-06-08 v1 Combinatorics
Abstract
By generalizing Gessel-Xin's Laurent series method for proving the Zeilberger-Bressoud -Dyson Theorem, we establish a family of -Dyson style constant term identities. These identities give explicit formulas for certain coefficients of the -Dyson product, including three conjectures of Sills' as special cases and generalizing Stembridge's first layer formulas for characters of .
Keywords
Cite
@article{arxiv.0706.1009,
title = {A Family of $q$-Dyson Style Constant Term Identities},
author = {Lun Lv and Guoce Xin and Yue Zhou},
journal= {arXiv preprint arXiv:0706.1009},
year = {2007}
}
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21 pages