A converse theorem for Jacobi–Maass forms and applications

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Resumen

We provide a converse theorem for Jacobi–Maass forms, as introduced by Pitale (2009), and give three applications. Firstly, we generalize a converse theorem for holomorphic Jacobi cusp forms due to Martin (1996) to non-cuspidal Jacobi forms. Secondly, we prove the analogue result for skew-holomorphic Jacobi forms, and thirdly, we give a new proof for the existence of an explicit isomorphism between half integral weight Maass forms in Kohnen's plus space of level 4 and Jacobi–Maass forms of index 1, first proved by Pitale (2009).

Idioma originalInglés
Páginas (desde-hasta)41-61
Número de páginas21
PublicaciónJournal of Number Theory
Volumen169
DOI
EstadoPublicada - 1 dic 2016
Publicado de forma externa

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