Multilinear differential operators on modular forms

Lee, Min

doi:10.1090/S0002-9939-03-07324-6

Multilinear differential operators on modular forms
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Proc. Amer. Math. Soc. 132 (2004), 1267-1277 Request permission

Abstract:

We construct multilinear differential operators on modular forms and prove that they are essentially unique. We also discuss certain homogeneous polynomials associated to such differential operators as well as some related multilinear differential operators that do not produce modular forms.

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