Jia Li

activity

20232026

collaborators

10 papers

math.DG2026

Stable Capillary Minimal Hypersurfaces in $R_{+}^{4}$

Jia Li, Chenghang Lu, Chao Xia

We prove that a complete, two-sided, stable capillary minimal hypersurface in $R_{+}^{4}$ is flat provided its contact angle $θ$ satisfies $∣ cot θ ∣ < κ_{*}$ , where $κ_*=4Γ(3/4)^2/Γ(1/4)^2…

math.MG2026

Finiteness of Equidistant Affine Subspaces

Jia Li

Let $0\leqslant k<n$, and let $\mathcal N(k,n)$ denote the supremum of the cardinalities of finite families of affine $k$-planes in $\R^n$ whose pairwise Euclidean separati…

math.NT2026

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…

math.NT2026

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…

math.HO2025

A new elementary proof of the formula $n = 1 \sum \infty \frac{1}{n ^{2}} = \frac{π ^{2}}{6}$

Jia Li

In this article, we provide a new elementary proof of the Basel problem.

math.DG2025

Stable anisotropic minimal hypersurfaces in $R^{5}$ and $R^{6}$

Jia Li, Chao Xia

In this paper, we prove that a complete, two-sided, stable anisotropic minimal immersed hypersurface in $R^{5}$ or $R^{6}$ is flat, provided the anisotropic area…

math.NT2025

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 $k ⩾ 2$ , the dimension of…

math.NA2024

A construction of canonical nonconforming finite element spaces for elliptic equations of any order in any dimension

Jia Li, Shuonan Wu

A unified construction of canonical $H^{m}$ -nonconforming finite elements is developed for $n$ -dimensional simplices for any $m, n \geq 1$ . Consistency with the Morley-Wang-Xu elemen…

math.NT2024

Regularized double shuffle relations of $μ$ -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 $μ$ with $\Ree(μ)>0$. These values are equipped with both the $μ$ -stuffle produc…

math.NT2023

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 $C^{r}$ with on…

Stable Capillary Minimal Hypersurfaces in R+4​

Finiteness of Equidistant Affine Subspaces

Regularized Multitangent Functions and Reduction Theorem

Residue Theorem, Regularization and Parity Theorem

A new elementary proof of the formula n=1∑∞​n21​=6π2​

Stable anisotropic minimal hypersurfaces in R5 and R6

A partial result towards the Chowla--Milnor conjecture

A construction of canonical nonconforming finite element spaces for elliptic equations of any order in any dimension

Regularized double shuffle relations of μ-multiple Hurwitz zeta values

A continuous version of multiple zeta values with double variables

Stable Capillary Minimal Hypersurfaces in $R_{+}^{4}$

A new elementary proof of the formula $n = 1 \sum \infty \frac{1}{n ^{2}} = \frac{π ^{2}}{6}$

Stable anisotropic minimal hypersurfaces in $R^{5}$ and $R^{6}$

Regularized double shuffle relations of $μ$ -multiple Hurwitz zeta values