Speaker: Professor Minking Eie (National Chung Cheng University)
Title: Applications of shuffle products of multiple zeta values in combinatorics
Time: 2013-01-10 (Thu.)  15:00 - 16:00
Abstract: Multiple zeta values are natural generalizations of the classical Euler double sums. Through integral representations of multiple zeta values, the shuffle product of two multiple zeta values is defined. The shuffle product of two multiple zeta values of weight m and n , respectively, will produce C(m+n, m) multiple zeta values of weight m+n. Just by counting the number of multiple zeta values produced from shuffle products of some special multiple zeta values, we obtained a lot of combinatorial identities including generalizations of Pascal identity and Vandermonde convolutions. Especially, some combinorial identities of convolution type were extended to more general vector versions.
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