%0 Journal Article
%T Rankin-Cohen brackets on quasimodular forms
%A Fran£żois Martin
%A Emmanuel Royer
%J Mathematics
%D 2005
%I arXiv
%X We give the algebra of quasimodular forms a collection of Rankin-Cohen operators. These operators extend those defined by Cohen on modular forms and, as for modular forms, the first of them provide a Lie structure on quasimodular forms. They also satisfy a ``Leibniz rule'' for the usual derivation. Rankin-Cohen operators are useful for proving arithmetic identities. In particular we give an interpretation of the Chazy equation and explain why such an equation has to exist.
%U http://arxiv.org/abs/math/0509653v2