Faculty Publications

Title

Quasimodular forms and vector-valued modular forms

Document Type

Article

Journal/Book/Conference Title

Springer Monographs in Mathematics

First Page

185

Last Page

206

Abstract

In [60] 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.

Original Publication Date

1-1-2019

DOI of published version

10.1007/978-3-030-29123-5_10

Repository

UNI ScholarWorks, Rod Library, University of Northern Iowa

Language

en

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