Shimura correspondence for level p2 and the central values of L-series
Given a weight 2 and level p2 modular form f, we construct two weight 3/2 modular forms (possibly zero) of level 4 p2 and non-trivial character mapping to f via the Shimura correspondence. Then we relate the coefficients of the constructed forms to the central value of the L-series of certain imagin...
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022314X_v124_n2_p396_Pacetti |
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| Sumario: | Given a weight 2 and level p2 modular form f, we construct two weight 3/2 modular forms (possibly zero) of level 4 p2 and non-trivial character mapping to f via the Shimura correspondence. Then we relate the coefficients of the constructed forms to the central value of the L-series of certain imaginary quadratic twists of f. Furthermore, we give a general framework for our construction that applies to any order in definite quaternion algebras, with which one can, in principle, construct weight 3/2 modular forms of any level, provided one knows how to compute ideal classes representatives. © 2006 Elsevier Inc. All rights reserved. |
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