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math.NT2018
Special values of finite multiple harmonic q-series at roots of unity
Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka
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…
math.NT2018★ 4 cited
Derivations on the algebra of multiple harmonic q-series and their applications
Yoshihiro Takeyama
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…