Special values of finite multiple harmonic q-series at roots of unity
Number Theory
2018-07-03 v1
Abstract
We study special values of finite multiple harmonic q-series at roots of unity. These objects were recently introduced by the authors and it was shown that they have connections to finite and symmetric multiple zeta values and the Kaneko-Zagier conjecture. In this note we give new explicit evaluations for finite multiple harmonic q-series at roots of unity and prove Ohno-Zagier-type relations for them.
Keywords
Cite
@article{arxiv.1807.00411,
title = {Special values of finite multiple harmonic q-series at roots of unity},
author = {Henrik Bachmann and Yoshihiro Takeyama and Koji Tasaka},
journal= {arXiv preprint arXiv:1807.00411},
year = {2018}
}
Comments
18 pages