90 citations · 194 across the 23 of their papers we have counts for
4 papers · 1 filter
Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras
Henry H. Kim, Kyu-Hwan Lee, Yichao Zhang
In this paper, we compute basis elements of certain spaces of weight 0 weakly holomorphic modular forms and consider the integrality of Fourier coefficients of the modular forms. W…
Eigenvalue of Fricke involution on newforms of level 4 and of trivial character
Yichao Zhang
In this note, we consider the newforms of integral weight, level 4 and of trivial character, and prove that all of them are actually level 1 forms of some non-Dirichlet character.…
Zagier duality and integrality for Fourier coefficients for weakly holomorphic modular forms
Yichao Zhang
In this note, we generalize the isomorphisms to the case when the discriminant form is not necessarily induced from real quadratic fields. In particular, this general setting inclu…
An Isomorphism between Scalar-Valued Modular Forms and Modular Forms for Weil Representations
Yichao Zhang
In this note, we consider discriminant forms that are given by the norm form of real quadratic fields and their induced Weil representations. We prove that there exists an isomorph…