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{\bf Yue Zhou}
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{\bf On Kadell's Two Conjectures for the $q$-Dyson Product}
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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.



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