Modular polynomials and derivatives of quasimodular forms
modular forms, modular polynomials, quasimodular forms, quasimodular polynomials
Complex Variables and Elliptic Equations
Modular polynomials are polynomials whose coefficients are modular forms of certain type, and they are in one-to-one correspondence with quasimodular polynomials that are naturally associated to quasimodular forms. In addition to the formal derivative operator ∂X, there is a differential operator Dλ on quasimodular polynomials corresponding to the derivative operator on quasimodular forms. We construct linear maps of quasimodular polynomials corresponding to certain linear maps of modular polynomials and prove that such maps reduce to the operators Dλ and ∂X in special cases. © 2013 Copyright Taylor and Francis Group, LLC.
Department of Mathematics
Original Publication Date
DOI of published version
Lee, Min Ho, "Modular polynomials and derivatives of quasimodular forms" (2013). Faculty Publications. 1699.