8 citations · 11 across the 7 of their papers we have counts for
7 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…
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(…
On class number relations, intersections, and GL(2)-tale over the function field side
Jia-Wei Guo, Fu-Tsun Wei
The aim of this paper is to study class number relations over function fields and the intersections of Hirzebruch-Zagier type divisors on the Drinfeld-Stuhler modular surfaces. The…
Class numbers of CM algebraic tori, CM abelian varieties and components of unitary Shimura varieties
Jia-Wei Guo, Nai-Heng Sheu, Chia-Fu Yu
We give a formula for the class number of an arbitrary CM algebraic torus over . This is proved based on results of Ono and Shyr. As applications, we give formulas for…
Class number relations arising from intersections of Shimura curves and Humbert surfaces
Jia-Wei Guo, Yifan Yang
By considering the intersections of Shimura curves and Humbert surfaces on the Siegel modular threefold, we obtain new class number relations. The result is a higher-dimensional an…
Equations of hyperelliptic Shimura curves
Jia-Wei Guo, Yifan Yang
By constructing suitable Borcherds forms on Shimura curves and using Schofer's formula for norms of values of Borcherds forms at CM-points, we determine all the equations of hypere…