Preimages for the Shimura map on Hilbert modular forms
In this article we give a method to construct preimages for the Shimura correspondence on Hilbert modular forms of odd and square-free level. The method relies on the ideas presented for the rational case by Pacetti and Tornaría, and is such that the Fourier coefficients of the preimages constructed...
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2014
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022314X_v145_n_p79_Sirolli http://hdl.handle.net/20.500.12110/paper_0022314X_v145_n_p79_Sirolli |
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| Sumario: | In this article we give a method to construct preimages for the Shimura correspondence on Hilbert modular forms of odd and square-free level. The method relies on the ideas presented for the rational case by Pacetti and Tornaría, and is such that the Fourier coefficients of the preimages constructed can be computed explicitly. © 2014 Elsevier Inc. |
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