5 papers · 1 filter
Regularized Multitangent Functions and Reduction Theorem
Jia Li
We develop a direct analytic theory of stuffle-regularized multitangent functions and prove their reduction to finite linear combinations of monotangent functions, without using mo…
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…
A partial result towards the Chowla--Milnor conjecture
Li Lai, Jia Li
The Chowla--Milnor conjecture predicts the linear independence of certain Hurwitz zeta values. In this paper, we prove that for any fixed integer , the dimension of…
Regularized double shuffle relations of -multiple Hurwitz zeta values
Jia Li, Jianqiang Zhao
In this paper we consider a family of multiple Hurwitz zeta values with bi-indices parameterized by with $\Ree(μ)>0$. These values are equipped with both the -stuffle produc…
A continuous version of multiple zeta values with double variables
Jia Li
In this paper we define a continuous version of multiple zeta functions with double variables. They can be analytically continued to meromorphic functions on with on…