Ce Xu
Xiamen University
20 Papers
5 Citations
Ce Xu is an academic researcher from Xiamen University. The author has contributed to research in topics: Euler's formula & Harmonic number. The author has an hindex of 4, co-authored 4 publications. Previous affiliations of Ce Xu include Kyushu University & Anhui Normal University.
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Papers
Euler sums and integrals of polylogarithm functions
Ce Xu,Yuhuan Yan,Zhijuan Shi +2 more
TL;DR: In this article, an approach to evaluate Euler sums and integrals of polylogarithm functions is proposed based on simple Cauchy product formula computations, and a kind of seven, eight and nine order sums of Euler sum are obtained.
79
Multiple zeta values and Euler sums
TL;DR: In this paper, the authors established some expressions of series involving harmonic numbers and Stirling numbers of the first kind in terms of multiple zeta values, and presented some new relationships between multiple zero values and multiple zero star values.
54
Tornheim type series and nonlinear Euler sums
Ce Xu,Zhonghua Li +1 more
TL;DR: In this paper, an approach based on Tornheim type series computations is proposed to evaluate nonlinear Euler sums in terms of zeta values and linear sums, which can be used to obtain closed form representations of quadratic and cubic sums.
39
Parametric Euler $T$-sums of odd harmonic numbers
TL;DR: In this paper , a parametric variant of generalized Euler sums, called the (alternating) parametric Euler T -sums, is introduced and the contour integration method and residue theorem are used to establish several explicit formulae for the linear parametric T-sums.
4
On a problem involving the squares of odd harmonic numbers
John M. Campbell,Paul Levrie,Ce Xu,Jianqiang Zhao +3 more
- 07 Jun 2022
TL;DR: In this article , Wang and Chu introduced a full solution to the problem of series involving the squares of finite sums of the form $1 + \frac{1}{3+ \cdots + 1 2n-1} .