Heat Operators on Modular and Quasimodular Polynominals
Heat operators, Jacobi-like forms, Modular forms, Quasimodular forms
Functiones et Approximatio, Commentarii Mathematici
Jacobi-like forms generalize Jacobi forms, and heat operators on Jacobi forms can be extended to heat operators on Jacobi-like forms. Quasimodular forms correspond to quasimodular polynomials and modular polynomials, and they can be lifted to Jacobi-like forms. We obtain an explicit formula for a differential operator on the space of quasimodular polynomials which is compatible with a heat operators on the space of Jacobi-like forms. We also determine a linear map on the space of modular polynomials that is compatible with this differential operator.
Original Publication Date
DOI of published version
Lee, Min Ho, "Heat Operators on Modular and Quasimodular Polynominals" (2021). Faculty Publications. 5184.