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math.CO2006★ 1 cited
Non symmetric Cauchy kernels for the classical Groups
Amy M. Fu, Alain Lascoux
We give non-symmetric versions of the Cauchy kernel and Littlewood's kernels, corresponding to the types , , and , of the classical groups. We show that these…
math.CO2006
Faulhaber's Theorem on Power Sums
William Y. C. Chen, Amy M. Fu, Iris F. Zhang
We observe that the classical Faulhaber's theorem on sums of odd powers also holds for an arbitrary arithmetic progression, namely, the odd power sums of any arithmetic progression…