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Quasimodular Forms and Vector-valued Modular Forms

  • YoungJu ChoieEmail author
  • Min Ho Lee
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

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.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.MathematicsPohang University of Science and Technology (POSTECH)PohangKorea (Republic of)
  2. 2.University of Northern IowaCedar FallsUSA

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