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On relations for the $q$-multiple zeta values

Jun-ichi Okuda·Yoshihiro Takeyama
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Abstract

We prove some relations for the $q$-multiple zeta values ($q$MZV). They are $q$-analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier relation for the multiple zeta values (MZV). We discuss the problem to determine the dimension of the space spanned by $q$MZV's over $\Q$, and present an application to MZV.

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Jun-ichi Okuda, Yoshihiro Takeyama. 2005-01-14. On relations for the $q$-multiple zeta values. https://arxiv.org/abs/math/0402152

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