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Taipei Postdoc Seminar
 
11:00 - 12:30, November 9, 2016 (Wednesday)
Room 638, 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.



 

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