56 citations · 196 across the 55 of their papers we have counts for
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math.CO2023
On some conjectural series containing harmonic numbers of 3-order
Chuanan Wei, Ce Xu
Harmonic numbers are important in a lot of branches of number theory. By means of the derivative operator, the integral operator, and several summation and transformation formulas…
math.NT2023
Apéry-Like Sums and Colored Multiple Zeta Values
Ce Xu, Jianqiang Zhao
In this article, we survey recent progress in the study of Apéry-like sums, which are multivariable generalizations of the two sums Apéry used in his famous proof of the irrational…
math.NT2023★ 1 cited
Berndt-Type Integrals and Series Associated with Ramanujan and Jacobi Elliptic Functions
Ce Xu, Jianqiang Zhao
In this paper, we evaluate in closed forms two families of infinite integrals containing hyperbolic and trigonometric functions in their integrands. We call them Berndt-type integr…