A q-analogue of symmetric multiple zeta value
Number Theory
2023-06-28 v2 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2301.12650,
title = {A q-analogue of symmetric multiple zeta value},
author = {Yoshihiro Takeyama},
journal= {arXiv preprint arXiv:2301.12650},
year = {2023}
}
Comments
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