On the q-Dyson orthogonality problem

被引：2
|
作者：
Zhou, Yue [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410075, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS | 2021年 / 130卷
基金：
中国国家自然科学基金;
关键词：
q-Dyson constant term identity; Kadell's orthogonality conjecture; Symmetric function; Plethystic substitution; SHORT PROOF; CONJECTURE;
D O I：
10.1016/j.aam.2021.102224
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By combining the Gessel-Xin method with plethystic substitutions, we obtain a recursion for a symmetric function generalization of the q-Dyson constant term identity also known as the Zeilberger-Bressoud q-Dyson theorem. This yields a constant term identity which generalizes the non-zero part of Kadell's orthogonality ex-conjecture and a result of Karolyi, Lascoux and Warnaar. (c) 2021 Elsevier Inc. All rights reserved.
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页数：33
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