科研之友
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摘要
A quasimodular form of depth at most corresponds to holomorphic functions . Given nonnegative integers and with , we introduce a linear differential operator of order on modular forms whose coefficients are given in terms of derivatives of the functions . 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.
- 出版日期2016-1
