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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The research of the author is supported by JSPS KAKENHI Grant Number 18K03233.
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Takeyama, Y. Derivations on the algebra of multiple harmonic q-series and their applications. Ramanujan J 52, 41–65 (2020). https://doi.org/10.1007/s11139-019-00139-y
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DOI: https://doi.org/10.1007/s11139-019-00139-y