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

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.

21 pages, no figure. This is a pre-print of an article published in The Ramanujan Journal. The final authenticated version is available online at: https://doi.org/10.1007/s11139-019-00139-y

References in corpus (2)

• Cyclotomic analogues of finite multiple zeta values
• Ohno-type identities for multiple harmonic sums

Cited by in corpus (2)

• Finite and symmetric Mordell-Tornheim multiple zeta values
• Finite and symmetric colored multiple zeta values and multiple harmonic q-series at roots of unity