Title of article
A family of q-Dyson style constant term identities
Author/Authors
Lv، نويسنده , , Lun and Xin، نويسنده , , Guoce and Zhou، نويسنده , , Yue، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
18
From page
12
To page
29
Abstract
By generalizing Gessel–Xinʹs 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 Sillsʹ as special cases and generalizing Stembridgeʹs first layer formulas for characters of SL ( n , C ) .
Keywords
Constant term , q-Series , Laurent series , Dyson conjecture , Partial fractions
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2009
Journal title
Journal of Combinatorial Theory Series A
Record number
1531357
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