Quasimodular forms and vector-valued modular forms
Springer Monographs in Mathematics
In  Kuga and Shimura determined all holomorphic vector differential forms ω satisfying ω ◦ γ = ρ(γ)ω (10.1) for all γ ∈ Γ, where ρ is a symmetric tensor representation of a discrete subgroup Γ of SL(2,R). They constructed such a form corresponding to each modular form of weight ≤ n + 2 and showed that any holomorphic vector form satisfying (10.1) can be written as a sum of the vector forms associated to modular forms of weight ≤ n + 2.
Department of Mathematics
Original Publication Date
DOI of published version
UNI ScholarWorks, Rod Library, University of Northern Iowa
Choie, Young Ju and Lee, Min Ho, "Quasimodular forms and vector-valued modular forms" (2019). Faculty Publications. 568.