R638, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 638室)
Sum Formulas of Multiple Zeta Values with Arguments are Multiple of a Positive Integer
Chan-Liang Chung (Academia Sinica)
Abstract
Let
be a multiple zeta value of depth
and weight
. Several explicit values of multiple zeta values are interesting and known for special index sets. A principle goal in the theoretical study of multiple zeta values is to determine all possible algebraic relations among them. For
, let
be the sum of all multiple zeta values of depth
and weight
with arguments are multiple of
. In this talk, an identity which is closely related to the sum relation involving multiple zeta values with even arguments will be presented. Also, I will build up some variations of multiple zeta values and investigate their relations. In particular, I will give a simple proof of the well-known sum formula of multiple zeta values and derive some generalizations.
This is joint work with K.-W. Chen and M. Eie.