56 citations · 196 across the 55 of their papers we have counts for
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Explicit Relations between Multiple Zeta Values and Related Variants
Ce Xu
In this paper we present some new identities for multiple polylogarithms (abbr. MPLs) and multiple harmonic star sums (abbr. MHSSs) by using the methods of iterated integral comput…
A generalized regularization theorem and Kawashima's relation for multiple zeta values
Masanobu Kaneko, Ce Xu, Shuji Yamamoto
Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. Gaku Kawashima introduced and studied a certain Newton series, which we ca…
Proof of Kaneko--Tsumura Conjecture on Triple T-Values
Sasha Berger, Aarav Chandra, Jasper Jain +3
Many -linear relations exist between multiple zeta values, the most interesting of which are various weighted sum formulas. In this paper, we generalized these to Euler…
Alternating Multiple -Values: Weighted Sums, Duality, and Dimension Conjecture
Ce Xu, Jianqiang Zhao
In this paper, we define some weighted sums of the alternating multiple -values (AMTVs), and study several duality formulas for them by using the tools developed in our previous…
Dirichlet type extensions of Euler sums
Ce Xu, Weiping Wang
In this paper, we study the alternating Euler -sums and -sums, which are infinite series involving (alternating) odd harmonic numbers, and have similar forms and close relati…
Variants of Multiple Zeta Values with Even and Odd Summation Indices
Ce Xu, Jianqiang Zhao
In this paper, we define and study a variant of multiple zeta values of level 2 (which is called multiple mixed values or multiple -values, MMVs for short), which forms a subspa…