On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms

Yves Martin; Denis Osses

doi:10.1007/s11139-010-9258-x

On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms

Yves Martin
, Denis Osses

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	155-183
Número de páginas	29
Publicación	Ramanujan Journal
Volumen	26
N.º	2
DOI	https://doi.org/10.1007/s11139-010-9258-x
Estado	Publicada - nov 2011
Publicado de forma externa	Sí

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title = "On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms",

abstract = "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.",

keywords = "Dirichlet series, Functional equations, Jacobi forms",

author = "Yves Martin and Denis Osses",

year = "2011",

month = nov,

doi = "10.1007/s11139-010-9258-x",

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journal = "Ramanujan Journal",

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T1 - On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms

AU - Martin, Yves

AU - Osses, Denis

PY - 2011/11

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N2 - 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.

AB - 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.

KW - Dirichlet series

KW - Functional equations

KW - Jacobi forms

UR - https://www.scopus.com/pages/publications/80255136238

U2 - 10.1007/s11139-010-9258-x

DO - 10.1007/s11139-010-9258-x

M3 - Article

AN - SCOPUS:80255136238

SN - 1382-4090

VL - 26

SP - 155

EP - 183

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms

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