On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms
Author
dc.contributor.author
Martín González, Yves
Author
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Osses, Denis
Admission date
dc.date.accessioned
2018-12-20T14:41:27Z
Available date
dc.date.available
2018-12-20T14:41:27Z
Publication date
dc.date.issued
2011
Cita de ítem
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Ramanujan J (2011) 26:155–183
Identifier
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13824090
Identifier
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10.1007/s11139-010-9258-x
Identifier
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https://repositorio.uchile.cl/handle/2250/157102
Abstract
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We generalize Weil's converse theorem to Jacobi cusp forms of weight k, index m and Dirichlet character χ over the group Γ0(N)⋉ℤ2. Then two applications of this result are given; we generalize a construction of Jacobi forms due to Skogman and present a new proof for several known lifts of such Jacobi forms to half-integral weight modular forms.