Rankin-Cohen brackets on quasimodular forms

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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.
17 pages

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Number Theory, 11F11,11F22,16W25

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http://salesiana.dossiersoluciones.com/handle/123456789/158680

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509653
 http://arxiv.org/abs/math/0509653

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arXiv