A q-analogue of symmetric multiple zeta value

Abstract

We construct a q-analogue of truncated version of symmetric multiple zeta values which satisfies the double shuffle relation. Using it, we define a q-analogue of symmetric multiple zeta values and see that it satisfies many of the same relations as symmetric multiple zeta values, which are the inverse relation and a part of the double shuffle relation and the Ohno-type relation.

31 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/s11139-023-00755-9

References in corpus (2)

• The Algebra of a q-Analogue of Multiple Harmonic Series
• Unfolding the double shuffle structure of q-multiple zeta values