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

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dc.creatorLv, Lun
dc.creatorXin, Guoce
dc.creatorZhou, Yue
dc.date2007-06-07
dc.date.accessioned2026-07-07T08:04:29Z
dc.date.available2026-07-07T08:04:29Z
dc.descriptionBy 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 $SL(n,\mathbb{C})$.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0706.1009
dc.identifierhttp://arxiv.org/abs/0706.1009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129982
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subjectPrimary 05A30, secondary 33D70
dc.titleA Family of $q$-Dyson Style Constant Term Identities
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