Jia Li

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20232026

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4 papers · 1 filter

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…

Stable Capillary Minimal Hypersurfaces in R+4​

Finiteness of Equidistant Affine Subspaces

Regularized Multitangent Functions and Reduction Theorem

Residue Theorem, Regularization and Parity Theorem

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