Zhijie Chen

collaborators

3 papers

math.AP2025

Green functions, Hitchin's formula and curvature equations on tori II: Rectangular torus

Zhijie Chen, Erjuan Fu, Chang-Shou Lin

Let $G (z)$ be the Green function on the flat torus $E_{I ¨} = C / (Z + Z I ¨ )$ with the singularity at $0$ . Lin and Wang (Ann. Math. 2010) proved that $G (z)$ has ei…

math.AP2025

Green functions, Hitchin's formula and curvature equations on tori

Zhijie Chen, Erjuan Fu, Chang-Shou Lin

Let $G (z) = G (z; I ¨ )$ be the Green function on the flat torus $E_{I ¨} = C / (Z + Z I ¨ )$ with the singularity at $0$ . Lin and Wang (Ann. Math. 2010) proved that $G(z)…

math.NT2025

On the distribution of critical points of the Eisenstein series $E_{6}$ and monodromy interpretation

Zhijie Chen

In previous works joint with Lin, we proved that the Eisenstein series $E_{4}$ (resp. $E_{2}$ ) has at most one critical point in every fundamental domain $I^^{3} (F_{0})$ of $I^_{0} (2)$ , wher…

Green functions, Hitchin's formula and curvature equations on tori II: Rectangular torus

Green functions, Hitchin's formula and curvature equations on tori

On the distribution of critical points of the Eisenstein series E6​ and monodromy interpretation

On the distribution of critical points of the Eisenstein series $E_{6}$ and monodromy interpretation