Rankin-Cohen brackets on quasimodular forms

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dc.creatorMartin, François
dc.creatorRoyer, Emmanuel
dc.date2005-09-28
dc.date2008-04-12
dc.date.accessioned2026-07-07T09:32:04Z
dc.date.available2026-07-07T09:32:04Z
dc.descriptionWe 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.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0509653
dc.identifierhttp://arxiv.org/abs/math/0509653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158680
dc.subjectNumber Theory
dc.subject11F11,11F22,16W25
dc.titleRankin-Cohen brackets on quasimodular forms
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