5 citations · 13 across the 12 of their papers we have counts for
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Parametric Euler -sums of odd harmonic numbers
Ce Xu, Lu Yan
In this paper, we define a parametric variant of generalized Euler sums and call them the (alternating) parametric Euler -sums. By using the contour integration method and resid…
Parametric Euler Sums of Harmonic Numbers
Junjie Quan, Xiyu Wang, Xiaoxue Wei +1
We define a parametric variant of generalized Euler sums and construct contour integration to give some explicit evaluations of these parametric Euler sums. In particular, we estab…
Sun's Three Conjectures on Apéry-like Sums Involving Harmonic Numbers
Ce Xu, Jianqiang Zhao
In this paper, we will give another proof of Zhi-Wei Sun's three conjectures on Apéry-like sums involving harmonic numbers by proving some identities among special values of multip…
Apéry-Type Series with Summation Indices of Mixed Parities and Colored Multiple Zeta Values, I
Ce Xu, Jianqiang Zhao
In this paper, we shall study Aéry-type series in which the central binomial coefficient appears as part of the summand. Let . Let be positiv…
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…
Evaluation of Some Sums Involving Powers of Harmonic Numbers
Ce Xu, Xixi Zhang, Jianqiang Zhao
In this note, we extend the definition of multiple harmonic sums and apply their stuffle relations to obtain explicit evaluations of the sums $R_n(p,t)=\sum\nolimits_{m=0}^n m^p H_…