619 citations
- University of Science and Technology of ChinaCN87 papers
- Chinese Academy of SciencesCN81 papers
- Nanjing UniversityCN77 papers
- National Astronomical ObservatoriesCN48 papers
- Centre National de la Recherche ScientifiqueFR30 papers
- Purple Mountain ObservatoryCN30 papers
- University of Chinese Academy of SciencesCN28 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR27 papers
- Guangzhou UniversityCN26 papers
- Shanghai Astronomical ObservatoryCN26 papers
- Peking UniversityCN25 papers
- Astrophysique, Instrumentation et ModélisationFR24 papers
7 papers · 2 filters
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…
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…
On the critical values of Burr's problem
Xiao-Hui Yan, Bing-Ling Wu
Let be a sequence of positive integers and be the set of all integers which are the finite sum of distinct terms of . For given positive integers $u\in\{4,7,8\}\cup\{…
Extensions of Euler Type Sums and Ramanujan Type Sums
Ce Xu
We define a new kind of classical digamma function, and establish its some fundamental identities. Then we apply the formulas obtained, and extend tools developed by Flajolet and S…