A symmetric function generalization of the Zeilberger–Bressoud $q$-Dyson theorem

DOI10.1090/proc/15399zbMath1462.05041arXiv2009.05365OpenAlexW3105057500MaRDI QIDQ4985367

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Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05365

zbMATH Keywords

symmetric functionconstant term identityKadell's orthogonality conjectureZeilberger-Bressoud \(q\)-Dyson theorem

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Other basic hypergeometric functions and integrals in several variables (33D70)

Cites Work

• Macdonald symmetric functions of rectangular shapes
• A proof of Andrews' \(q\)-Dyson conjecture
• A Dyson constant term orthogonality relation
• Constant term identities and Poincaré polynomials
• A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem
• Statistical Theory of the Energy Levels of Complex Systems. I
• A short proof of the Zeilberger-Bressoud $q$-Dyson theorem
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