On the $q$-Dyson orthogonality problem
Combinatorics
2019-12-02 v1
Abstract
By combining the Gessel--Xin method with plethystic substitutions, we obtain a recursion for a symmetric function generalization of the -Dyson constant term identity also known as the Zeilberger--Bressoud -Dyson theorem. This yields a constant term identity which generalizes the non-zero part of Kadell's orthogonality ex-conjecture and a result of K\'{a}rolyi, Lascoux and Warnaar.
Cite
@article{arxiv.1911.12479,
title = {On the $q$-Dyson orthogonality problem},
author = {Yue Zhou},
journal= {arXiv preprint arXiv:1911.12479},
year = {2019}
}
Comments
27 pages