On the duality and the derivation relations for multiple zeta values
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We consider the problem of deducing the duality relation from the extended double shuffle relation for multiple zeta values. Especially we prove that the duality relation for double zeta values and that for the sum of multiple zeta values whose first components are 2’s are deduced from the derivation relation, which is known as a subclass of the extended double shuffle relation.
KeywordsMultiple zeta values Duality relation Derivation relation Extended double shuffle relation
Mathematics Subject Classification11M32
The authors express great thanks to Prof. Yasuo Ohno and Prof. Masanobu Kaneko for helpful comments and advice in the MZV conference at Kinki university on Feb., 2017.
- 9.Zagier, D.: Multiple zeta values, Unpublished manuscript, Bonn (1995)Google Scholar