3 papers
math.NT2025
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…
math.NT2024
Apéry-Like Sums and Colored Multiple Zeta Values
Ce Xu, Jianqiang Zhao
In this article we shall survey some recent progress on the study of Apéry-like sums which are multiple variable generalizations of the two sums Apéry used in his famous proof of…
math.NT2024
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…