On the duality and the derivation relations for multiple zeta values

Naho Kawasaki; Tatsushi Tanaka

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arXiv · 1703.03956

On the duality and the derivation relations for multiple zeta values

Naho Kawasaki·Tatsushi Tanaka

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Abstract

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.

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Naho Kawasaki, Tatsushi Tanaka. 2017-03-11. On the duality and the derivation relations for multiple zeta values. https://arxiv.org/abs/1703.03956

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