A family of q-Dyson style constant term identities

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:116

Article

Lv, Lun¹  Xin, Guoce¹  Zhou, Yue¹ 

[1] Nankai Univ, LPMC TJKLC, Ctr Combinator, Tianjin 300071, Peoples R China

关键词: q-Series;    Dyson conjecture;    Laurent series;    Partial fractions;    Constant term;   

DOI  :  10.1016/j.jcta.2008.04.002

来源: Elsevier

【 摘 要 】

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). (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free