7 papers
Contour Integration and Cyclotomic Apéry-Like Series Involving Generalized Binomial Coefficients
Ce Xu
In this paper, we present a method based on contour integration to investigate a class of cyclotomic parametric Apéry-like series. The general term of such series involves a param…
Symmetry Results for Cyclotomic Multiple Hurwitz Zeta Values via Contour Integrals
Ce Xu
This paper provides a systematic study of symmetry properties for cyclotomic multiple Hurwitz zeta values with multiple variables and parameters by applying the methods of contour…
Residue Theorem, Regularization and Parity Theorem
Jia Li, Ce Xu
In this paper, we employ contour integration and residue calculus to derive explicit parity formulas for (cyclotomic) multiple zeta values (MZVs). A key innovation lies in applying…
On the Proof of the GenÄev-Rucki Conjecture for Multiple Apéry-Like Series
Ce Xu
In this paper, we employ the theories and techniques of hypergeometric functions to provide two distinct proofs of the conjectured identities involving multiple Apéry-like series…
The Parity of Two Types of Cyclotomic Euler Sums via Contour Integrals
Ce Xu
In this paper, we employ methods of contour integration and residue calculus to investigate the parity of two classes of cyclotomic Euler-type sums. One class involves products of…
Contour Integrations and Parity Results of Cyclotomic Euler -Sums and Multiple -Values
Zhenlu Wang, Ce Xu
We will employ the method of contour integration to investigate the parity results of non-embedded cyclotomic multiple -values, which we refer to as cyclotomic Euler -sums. W…