A family of q-Dyson style constant term identities
نویسندگان
چکیده
By 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,C). Mathematics Subject Classification. Primary 05A30, secondary 33D70.
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 116 شماره
صفحات -
تاریخ انتشار 2009