On Quasi-Modular Forms, Almost Holomorphic Modular Forms, and the Vector-Valued Modular Forms of Shimura

Abstract

We extend the relation between quasi-modular forms and modular forms to a wider class of functions. We then relate both forms to vector-valued modular forms with symmetric power representations, and prove a general structure theorem for these vector-valued forms.

17 pages, minor corrections

Cited by in corpus (4)

• Regularized Pairings of Meromorphic Modular Forms and Theta Lifts
• Automorphic Lie algebras and modular forms
• Shimura's Vector-Valued Modular Forms, Weight Changing Operators, and Laplacians
• Periodicities for Taylor coefficients of half-integral weight modular forms