4 papers
Unramified Motivic Multiple Mixed Values
Ce Xu, Jianqiang Zhao
The multiple mixed values (MMVs) are level two variants of multiple zeta values produced by restricting the summation indices to fixed parity patterns. One particularly interesting…
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…
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)…
On Some Unramified Families of Motivic Euler Sums
Ce Xu, Jianqiang Zhao
It is well known that sometimes Euler sums (i.e., alternating multiple zeta values) can be expressed as $\Q$-linear combinations of multiple zeta values (MZVs). In her thesis Glano…