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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
The reciprocals of tails of the alternating Riemann zeta function
Zhonghua Li, Lu Yan
In this paper, we give the integer parts of reciprocals of tails of the alternating Riemann zeta function at by using several new inequalities and elementary method.
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…