3 citations · 3 across the 10 of their papers we have counts for
10 papers
Rational Approximations for Reciprocals of Multiple Zeta Values and Trivariate Cauchy Numbers
Ce Xu, Jianqiang Zhao
In this paper, we will study a trivariate extension of the Cauchy numbers of both the first kind (also called Gregory coefficients) and the second kind (also called Nörlund numbers…
Unramified Motivic Alternating Multiple Mixed Values
Ce Xu, Jianqiang Zhao
Many variants of the multiple zeta values have been studied in recent years. There are a few among them that remain to be real numbers, such as the multiple mixed values defined by…
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…
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)…
General Berndt-Type Integrals and Series Associated with Jacobi Elliptic Functions
Ce Xu, Jianqiang Zhao
In this paper, we prove two structural theorems on the general Berndt-type integrals with the denominator having arbitrary positive degrees by contour integrations involving hyperb…
Berndt-Type Integrals of Order Three and Series Associated with Jacobi Elliptic Functions
Hongyuan Rui, Ce Xu, Jianqiang Zhao
In this paper, we first establish explicit evaluations of six classes of hyperbolic sums by special values of the Gamma function by using the tools of the Fourier series expansions…
Ramified and Unramified Motivic Multiple -, - and -Values
Ce Xu, Jianqiang Zhao
In this paper, we consider several variants of motivic multiple zeta values of level two by restricting the summation indices to fixed parity patterns. These variants include Hoffm…
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…
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…
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…