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math.NT2025
Some Variants of Apéry-Type Series and Level Four Colored Multiple Zeta Values
Ce Xu, Jianqiang Zhao
In this paper, we study Apéry-type series involving the central binomial coefficients \begin{align*} \sum_{n_1>\cdots>n_d>0} \frac1{4^{n_1}}\binom{2n_1}{n_1} \frac{1}{n_1^{s_1}\cd…
math.NT2025
New Proofs of the Explicit Formulas of Arakawa--Kaneko Zeta Values and Kaneko--Tsumura - and - Values
Masanobu Kaneko, Weiping Wang, Ce Xu +1
In this paper, we establish some new identities of integrals involving multiple polylogarithm functions and their level two analogues in terms of Hurwitz-type multiple zeta (star)…