56 citations · 196 across the 55 of their papers we have counts for
4 papers · 1 filter
Alternating multiple zeta values, and explicit formulas of some Euler-Apery-type series
Weiping Wang, Ce Xu
In this paper, we study some Euler-Apéry-type series which involve central binomial coefficients and (generalized) harmonic numbers. In particular, we establish elegant explicit fo…
Evaluations of multiple polylogarithm functions, multiple zeta values and related zeta values
Ce Xu
In this paper we consider iterated integrals of multiple polylogarithm functions and prove some explicit relations of multiple polylogarithm functions. Then we apply the relations…
Two Variants of Euler Sums
Ce Xu, Weiping Wang
For positive integers with , we define the Euler -sum as the sum of those terms of the usual infinite series for the classic…
Some results on Arakawa-Kaneko, Kaneko-Tsumura functions and related functions
Maneka Pallewattaa, Ce Xu
Recently, the level two analogue of multiple polylogarithm function and Arakawa-Kaneko zeta function were introduced by M. Kaneko…