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Abstract:

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.

Registro:

Documento: Artículo
Título:Preimages for the Shimura map on Hilbert modular forms
Autor:Sirolli, N.
Filiación:Departamento de Matemática, FCEyN, UBA, Ciudad Universitaria, Pabellón I (C1428EGA), Buenos Aires, Argentina
Palabras clave:11F37; Hilbert modular forms; Shimura map
Año:2014
Volumen:145
Página de inicio:79
Página de fin:98
DOI: http://dx.doi.org/10.1016/j.jnt.2014.05.006
Título revista:Journal of Number Theory
Título revista abreviado:J. Number Theory
ISSN:0022314X
CODEN:JNUTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022314X_v145_n_p79_Sirolli

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Citas:

---------- APA ----------
(2014) . Preimages for the Shimura map on Hilbert modular forms. Journal of Number Theory, 145, 79-98.
http://dx.doi.org/10.1016/j.jnt.2014.05.006
---------- CHICAGO ----------
Sirolli, N. "Preimages for the Shimura map on Hilbert modular forms" . Journal of Number Theory 145 (2014) : 79-98.
http://dx.doi.org/10.1016/j.jnt.2014.05.006
---------- MLA ----------
Sirolli, N. "Preimages for the Shimura map on Hilbert modular forms" . Journal of Number Theory, vol. 145, 2014, pp. 79-98.
http://dx.doi.org/10.1016/j.jnt.2014.05.006
---------- VANCOUVER ----------
Sirolli, N. Preimages for the Shimura map on Hilbert modular forms. J. Number Theory. 2014;145:79-98.
http://dx.doi.org/10.1016/j.jnt.2014.05.006