Jia Li

activity

20242026

collaborators

3 papers

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.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…

Residue Theorem, Regularization and Parity Theorem

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

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

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