A symmetric function generalization of the Zeilberger--Bressoud $q$-Dyson theorem
Combinatorics
2020-09-14 v1
Abstract
In 2000, Kadell gave an orthogonality conjecture for a symmetric function generalization of the Zeilberger--Bressoud -Dyson theorem or the -Dyson constant term identity. This conjecture was proved by K\'{a}rolyi, Lascoux and Warnaar in 2015. In this paper, by slightly changing the variables of Kadell's conjecture, we obtain another symmetric function generalization of the -Dyson constant term identity. This new generalized constant term admits a simple product-form expression.
Keywords
Cite
@article{arxiv.2009.05365,
title = {A symmetric function generalization of the Zeilberger--Bressoud $q$-Dyson theorem},
author = {Yue Zhou},
journal= {arXiv preprint arXiv:2009.05365},
year = {2020}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:2002.11229