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.

中文翻译：

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三次谐波q系列的代数导数及其应用

我们在多元谐波q系列的代数上介绍了导数，并表明它们在q系列之间生成线性关系，其中包含因Bradley而导致的多个zeta值的q模拟的导数关系。作为副产品，我们从单位根获得了有限多重谐波q系列的Ohno型关系。