24 citations · 103 across the 35 of their papers we have counts for
35 papers
Hurwitz class number relations and mock modular forms
Kathrin Bringmann, Jia-Wei Guo, Ben Kane +2
A classical class number relation of Hurwitz expresses the Fourier coefficients of the product of a unary theta function and the class number generating function. Here, we establis…
Co-Axial Metrics on the Sphere and Algebraic Numbers
Zhijie Chen, Chang-Shou Lin, Yifan Yang
In this paper, we consider the following curvature equation $$Δu+{\rm e}^u=4π\biggl((θ_0-1)δ_0+(θ_1-1)δ_1 +\sum_{j=1}^{n+m}\bigl(θ_j'-1\bigr)δ_{t_j}\biggr)\qquad \text{in}\ \mathbb…
Metrics with positive constant curvature and modular differential equations
Jia-Wei Guo, Chang-Shou Lin, Yifan Yang
In this paper, we consider the problem when a differential equation y"(z)=Q(z)y(z) is Fuchsian on H* and apparent on H, where Q(z) is a meromorphic modular form of weight 4 on SL(2…
The rational cuspidal subgroup of with squarefree
Jia-Wei Guo, Yifan Yang, Hwajong Yoo +1
For a positive integer , let be the rational cuspidal subgroup of and be the rational cuspidal divisor class group of $X_0(…
Modular Ordinary Differential Equations on of Third Order and Applications
Zhijie Chen, Chang-Shou Lin, Yifan Yang
In this paper, we study third-order modular ordinary differential equations (MODE for short) of the following form , $z\in\mathbb{H}=\{z\in\mathbb{C} \,|\,…
Quasimodular forms and modular differential equations which are not apparent at cusps: I
Chang-Shou Lin, Yifan Yang
In this paper, we explore a two-way connection between quasimodular forms of depth and a class of second-order modular differential equations with regular singularities on the…