Differential operators on modular forms associated to quasimodular forms
Jacobi-like forms, Modular forms, Quasimodular forms, Rankin–Cohen brackets, Theta series
A quasimodular form ϕ of depth at most m corresponds to holomorphic functions (Formula presented.). Given nonnegative integers (Formula presented.) and (Formula presented.) with (Formula presented.), we introduce a linear differential operator (Formula presented.) of order (Formula presented.) on modular forms whose coefficients are given in terms of derivatives of the functions (Formula presented.). We then show that Rankin–Cohen brackets of modular forms can be expressed in terms of such operators. As an application, we obtain differential operators associated to certain theta series studied by Dong and Mason.
Department of Mathematics
Original Publication Date
DOI of published version
UNI ScholarWorks, Rod Library, University of Northern Iowa
Lee, Min Ho, "Differential operators on modular forms associated to quasimodular forms" (2016). Faculty Publications. 1175.