L-Functions of Jacobi forms with Shimura type |
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Authors: | Juping Wang |
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Institution: | (1) Institute of Mathematics, Fudan University, 200433 Shanghai, China |
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Abstract: | For every Jacobi form of Shimura type over H × ℂ, a system of L-functions associated to it is given. These L-functions can be analytically continued to the whole complex plane and satisfy a kind of functional equation. As a consequence,
Hecke’s inverse theorem on modular forms is extended to the context of Jacobi forms with Shimura type. |
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Keywords: | Jacobi form L-function functional equation |
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