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math.NT2022
Alternating Apéry-Type Series and Colored Multiple Zeta Values of Level Eight
Ce Xu, Jianqiang Zhao
Apéry-type (inverse) binomial series have appeared prominently in the calculations of Feynman integrals in recent years. In our previous work, we showed that a few large classes of…
math.NT2022★ 3 cited
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}\cdo…