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math.NT2021
A note on the sum of finite multiple harmonic -series on indices
Zhonghua Li, Zhenlu Wang
We study the sum of the finite multiple harmonic -series on indices at roots of unity with . And we give the equivalent conditions of two conjectures r…
math.NT2021
Weighted sum formula of multiple -values and its applications
Zhonghua Li, Zhenlu Wang
In this paper, we study the multiple -values and the multiple zeta values of level . We set up the algebraic framework for the double shuffle relations of the multiple zeta v…