A Family of $q$-Dyson Style Constant Term Identities

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129982By generalizing Gessel-Xin's Laurent series method for proving the Zeilberger-Bressoud $q$-Dyson Theorem, we establish a family of $q$-Dyson style constant term identities. These identities give explicit formulas for certain coefficients of the $q$-Dyson product, including three conjectures of Sills' as special cases and generalizing Stembridge's first layer formulas for characters of $SL(n,\mathbb{C})$.21 pagesCommutative AlgebraCombinatoricsPrimary 05A30, secondary 33D70A Family of $q$-Dyson Style Constant Term Identitiestext