56 citations · 196 across the 55 of their papers we have counts for
10 papers · 1 filter
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…
On a problem involving the squares of odd harmonic numbers
John M. Campbell, Paul Levrie, Ce Xu +1
We introduce a full solution to a problem considered by Wang and Chu concerning series involving the squares of finite sums of the form .…
Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple -Star Values
Ce Xu, Jianqiang Zhao
In this paper we establish several recurrence relations about Euler-Apéry type multiple zeta star values and a parametric variant of it by using the method of iterated integrals. T…
A Note on Sun's Conjectures on Apéry-like Sums Involving Lucas Sequences and Harmonic Numbers
Ce Xu, Jianqiang Zhao
In this paper, we will prove Zhi-Wei Sun's four conjectural identities on Apéry-like sums involving Lucas sequences and harmonic numbers by using a few results of Davydychev--Kalmy…