Special values of finite multiple harmonic q-series at roots of unity

Henrik Bachmann; Yoshihiro Takeyama; Koji Tasaka

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arXiv · 1807.00411

Special values of finite multiple harmonic q-series at roots of unity

Henrik Bachmann·Yoshihiro Takeyama·Koji Tasaka

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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.

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Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka. 2018-07-01. Special values of finite multiple harmonic q-series at roots of unity. https://arxiv.org/abs/1807.00411

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