Quasimodular forms and Jacobi-like forms
Jacobi-like forms, Modular forms, Quasimodular forms
We study various properties of quasimodular forms by using their connections with Jacobi-like forms. Such connections are made by identifying quasimodular forms for a discrete subgroup Γ of SL(2,ℝ) with certain polynomials over the ring of holomorphic functions of the Poincaré upper half plane that are Γ-invariant. We consider a surjective map from Jacobi-like forms to quasimodular forms and prove that it has a right inverse, which may be regarded as a lifting from quasimodular forms to Jacobi-like forms.
Department of Mathematics
Original Publication Date
DOI of published version
Choie, Young Ju and Lee, Min Ho, "Quasimodular forms and Jacobi-like forms" (2015). Faculty Publications. 1216.