On mm--fold Holomorphic Differentials and Modular Forms

preprint2021arXivOpen access

Abstract

Let ΓΓ be the Fuchsian group of the first kind. For an even integer m≥4m\ge 4, we study m/2m/2-holomorphic differentials in terms of space of (holomorphic) cuspidal modular forms Sm(Γ)S_m(Γ). We also give in depth study of Wronskians of cuspidal modular forms and their divisors.

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