4 citations · 10 across the 7 of their papers we have counts for
7 papers
Some Evaluation of Quadratic Euler Sums
Ce Xu
In this paper, we obtain some formulas for double nonlinear Euler sums involving harmonic numbers and alternating harmonic numbers. By using these formulas, we give new closed form…
Some evaluation of parametric Euler sums
Ce Xu
In this paper, by using the method of Contour Integral Representations and the Theorem of Residues and integral representations of series, we discuss the analytic representa- tions…
Explicit evaluation of harmonic sums
Ce Xu
In this paper, we obtain some formulae for harmonic sums, alternating harmonic sums and Stirling number sums by using the method of integral representations of series. As applicati…
Integrals of logarithmic functions and alternating multiple zeta values
Ce Xu
By using the method of iterated integral representations of series, we establish some explicit relationships between multiple zeta values and Integrals of logarithmic functions. As…
Identities for the shifted harmonic numbers and binomial coefficients
Ce Xu
We develop new closed form representations of sums of (n + α)th shifted harmonic numbers and reciprocal binomial coefficients in terms of αth shifted harmonic numbers. Some interes…
Evaluations of some quadratic Euler sums
Xin Si, Ce Xu
This paper develops an approach to the evaluation of quadratic Euler sums that involve harmonic numbers. The approach is based on simple integral computations of polyloga- rithms.…