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math.NT2021
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_…
math.NT2017★ 8 cited
Some Evaluations of Parametric Euler Type Sums of Harmonic Numbers
Junjie Quan, Ce Xu, Xixi Zhang
We establish some identities of Euler related sums. By using these identities, we discuss the closed form representations of sums of harmonic numbers and reciprocal parametric bino…