5 citations · 17 across the 19 of their papers we have counts for
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Sharp nonexistence results for curvature equations with four singular sources on rectangular tori
Zhijie Chen, Chang-Shou Lin
In this paper, we prove that there are no solutions for the curvature equation \[ Δu+e^{u}=8πnδ_{0}\text{ on }E_τ, \quad n\in\mathbb{N}, \] where is a flat rectangular torus…
The geometry of generalized Lamé equation, I
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
In this paper, we prove that the spectral curve of the generalized Lamé equation with the Treibich-Verdier potential \begin{equation*} y^{\prime \prime }(z)=\bigg[…
Critical points of the classical Eisenstein series of weight two
Zhijie Chen, Chang-Shou Lin
In this paper, we completely determine the critical points of the normalized Eisenstein series of weight . Although is not a modular form, our result shows tha…
Simple zero property of some holomorphic functions on the moduli space of tori
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
We prove that some holomorphic functions on the moduli space of tori have only simple zeros. Instead of computing the derivative with respect to the moduli parameter , we introd…