Proc. Indian Acad. Sci. (Math. Sci.), Voi. 104, No. 1, February 1994, ppPrinted in India. Modular forms and differential operators D O N ZAGIER Max-Planck-lnstitut fiir Mathematik, Gottfried-Claren Str. 26, 53

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• Lie groups
• Modular forms
• Lie algebras
• Several complex variables
• Non-associative algebras
• Vertex operator algebra
• RankinCohen bracket
• Theta function
• Differential operator
• Mutation
• Algebra over a field
• Binomial coefficient