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A symmetric function generalization of the Zeilberger–Bressoud $q$-Dyson theorem
- Source :
- Proceedings of the American Mathematical Society. 149:2319-2331
- Publication Year :
- 2021
- Publisher :
- American Mathematical Society (AMS), 2021.
-
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 Karolyi, 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.
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 149
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi...........ceaaeb352da76808f85183a73e6f5c5a