|Speaker :||Prof. Minking Eie (National Chung Cheng University)|
|Title :||Evaluations of some multiple zeta-star values.|
|Time :||2018-02-02 (Fri) 15:00 -|
|Place :||Seminar Room 617, Institute of Mathematics (NTU Campus)|
1735, Euler evaluated the special values at
positive even integers of Riemann zeta function. He developed the
infinite product formula of the sine function and discovered the
evaluations of multiple zeta values with arguments 2,2,....2. This also
leads to the evaluations of multiple zeta values with arguments
m,m,....,m and m > 2.
Here we evaluate multiple zeta-star values with arguments r+2,2,2,....,2 through their integral representations. During the evaluations, we need some particular combinatorial identities which maybe new, but possible old. Anyway, we prove all these combinatorial identities, use them to prove identities among generating functions of multiple zeta values and obtain the evaluations in the final.