56 citations · 196 across the 55 of their papers we have counts for
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math.NT2016
Explicit evaluation of quadratic Euler sums
Ce Xu, Yingyue Yang, Jianwen Zhang
In this paper, we work out some explicit formulae for double nonlinear Euler sums involving harmonic numbers and alternating harmonic numbers. As applications of these formulae, we…
math.NT2016★ 56 cited
Multiple zeta values and Euler sums
Ce Xu
In this paper, we establish some expressions of series involving harmonic numbers and Stirling numbers of the first kind in terms of multiple zeta values, and present some new rela…
math.NT2016★ 4 cited
On harmonic numbers and nonlinear Euler sums
Ce Xu, Yulin Cai
In this paper we are interested in Euler-type sums with products of harmonic numbers, Stirling numbers and Bell numbers. We discuss the analytic representations of Euler sums throu…