56 citations · 196 across the 55 of their papers we have counts for
57 papers
On some conjectural series containing harmonic numbers of 3-order
Chuanan Wei, Ce Xu
Harmonic numbers are important in a lot of branches of number theory. By means of the derivative operator, the integral operator, and several summation and transformation formulas…
Apéry-Like Sums and Colored Multiple Zeta Values
Ce Xu, Jianqiang Zhao
In this article, we survey recent progress in the study of Apéry-like sums, which are multivariable generalizations of the two sums Apéry used in his famous proof of the irrational…
Berndt-Type Integrals and Series Associated with Ramanujan and Jacobi Elliptic Functions
Ce Xu, Jianqiang Zhao
In this paper, we evaluate in closed forms two families of infinite integrals containing hyperbolic and trigonometric functions in their integrands. We call them Berndt-type integr…
On two conjectures of Sun concerning Apéry-like series
Steven Charlton, Herbert Gangl, Li Lai +2
In this paper, we shall prove two conjectures of Z.-W. Sun concerning Apéry-like series. One of the series is alternating whereas the other one is not. Our main strategy is to conv…
Parametric Apéry-type Series and Hurwitz-type Multiple Zeta Values
Masanobu Kaneko, Weiping Wang, Ce Xu +1
In this paper, we extend the main results of a 2024 \emph{Advances in Applied Mathematics} paper \cite{XuZhao2021c} about Apéry-type series involving central binomial coefficients…
Alternating Multiple Mixed Values: Regularization, Special Values, Parity and Dimension Conjectures
Ce Xu, Lu Yan, Jianqiang Zhao
In this paper, we define and study a variant of multiple zeta values (MZVs) of level four, called alternating multiple mixed values or alternating multiple -values (AMMVs), form…