4 citations · 12 across the 5 of their papers we have counts for
6 papers
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…
On variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjecture
Weiping Wang, Ce Xu
By using various expansions of the parametric digamma function and the method of residue computations, we study three variants of the linear Euler sums, related Hoffman's double $t…
Dirichlet type extensions of Euler sums
Ce Xu, Weiping Wang
In this paper, we study the alternating Euler -sums and -sums, which are infinite series involving (alternating) odd harmonic numbers, and have similar forms and close relati…
Alternating Euler -sums and Euler -sums
Weiping Wang, Ce Xu
In this paper, we study the alternating Euler -sums and related sums by using the method of contour integration. We establish the explicit formulas for all linear and quadratic…
Two Variants of Euler Sums
Ce Xu, Weiping Wang
For positive integers with , we define the Euler -sum as the sum of those terms of the usual infinite series for the classic…
Explicit formulas of Euler sums via multiple zeta values
Ce Xu, Weiping Wang
Flajolet and Salvy pointed out that every Euler sum is a -linear combination of multiple zeta values. However, in the literature, there is no formula completely reveali…