On Kadell's two conjectures for the \(q\)-Dyson product
The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2
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By extending Lv-Xin-Zhou's first layer formulas of the $q$-Dyson product, we prove Kadell's conjecture for the Dyson product and show the error of his $q$-analogous conjecture. With the extended formulas we establish a $q$-analog of Kadell's conjecture for the Dyson product.
DOI : 10.37236/1998
Classification : 05A30, 33D70
Mots-clés : Lv-Xin-Zhou's first layer formulas
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     author = {Yue Zhou},
     title = {On {Kadell's} two conjectures for the {\(q\)-Dyson} product},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {2},
     doi = {10.37236/1998},
     zbl = {1226.05048},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1998/}
}
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Yue Zhou. On Kadell's two conjectures for the \(q\)-Dyson product. The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2. doi: 10.37236/1998

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