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arXiv · 1806.04837

Derivations on the algebra of multiple harmonic q-series and their applications

Yoshihiro Takeyama
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Abstract

We introduce derivations on the algebra of multiple harmonic q-series and show that they generate linear relations among the q-series which contain the derivation relations for a q-analogue of multiple zeta values due to Bradley. As a byproduct we obtain Ohno-type relations for finite multiple harmonic q-series at a root of unity.

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Yoshihiro Takeyama. 2019-06-03. Derivations on the algebra of multiple harmonic q-series and their applications. https://doi.org/10.1007/s11139-019-00139-y

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