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A symmetric function generalization of the Zeilberger–Bressoud 𝑞-Dyson theorem
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-03-18 , DOI: 10.1090/proc/15399
Yue Zhou

Abstract:In 2000, Kadell gave an orthogonality conjecture for a symmetric function generalization of the Zeilberger-Bressoud $ q$-Dyson theorem or the $ q$-Dyson constant term identity. This conjecture was proved by Károlyi, 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 $ q$-Dyson constant term identity. This new generalized constant term admits a simple product-form expression.


中文翻译:

Zeilberger-Bressoud𝑞-Dyson定理的对称函数推广

摘要:在2000年,Kadell对Zeilberger-Bressoud $ q $-Dyson定理或$ q $-Dyson常数项恒等式的对称函数泛化给出了一个正交性猜想。该猜想由Károlyi,Lascoux和Warnaar于2015年证明。在本文中,通过略微更改Kadell猜想的变量,我们获得了$ q $-Dyson常数项恒等式的另一种对称函数推广。这个新的广义常数项允许一个简单的乘积形式表达式。
更新日期:2021-04-22
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