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arXiv · 1306.6164

The Algebra of a q-Analogue of Multiple Harmonic Series

Yoshihiro Takeyama
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Abstract

We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a q-analogue of Hoffman's identity for multiple zeta values. We also discuss the dimension of the space spanned by the linear relations realized in our algebra.

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Yoshihiro Takeyama. 2013-06-26. The Algebra of a q-Analogue of Multiple Harmonic Series. https://doi.org/10.3842/sigma.2013.061

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