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Abstract:

We describe a construction of preimages for the Shimura map on Hilbert modular forms and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted L-functions. Our construction is inspired by that of Gross and applies to any nontrivial level and arbitrary base field, subject to certain conditions on the Atkin-Lehner eigenvalues and on the weight. © 2018 by Nicolás Sirolli and Gonzalo Tornaría.

Registro:

Documento: Artículo
Título:An explicit waldspurger formula for hilbert modular forms
Autor:Sirolli, N.; Tornaría, G.
Filiación:Departamento de Matemática, Oficina 2096, Facultad de Ciencias Exactas y Natu-rales (C1428EGA) Pabellón I, Ciudad Universitaria, Ciudad Autónoma de Buenos Aires, Argentina
Centro de Matematica, Universidad de la República, Montevideo, 11400, Uruguay
Palabras clave:Hilbert modular forms; Shimura correspondence; Waldspurger formula
Año:2018
Volumen:370
Número:9
Página de inicio:6153
Página de fin:6168
DOI: http://dx.doi.org/10.1090/tran/7112
Título revista:Transactions of the American Mathematical Society
Título revista abreviado:Trans. Am. Math. Soc.
ISSN:00029947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v370_n9_p6153_Sirolli

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Citas:

---------- APA ----------
Sirolli, N. & Tornaría, G. (2018) . An explicit waldspurger formula for hilbert modular forms. Transactions of the American Mathematical Society, 370(9), 6153-6168.
http://dx.doi.org/10.1090/tran/7112
---------- CHICAGO ----------
Sirolli, N., Tornaría, G. "An explicit waldspurger formula for hilbert modular forms" . Transactions of the American Mathematical Society 370, no. 9 (2018) : 6153-6168.
http://dx.doi.org/10.1090/tran/7112
---------- MLA ----------
Sirolli, N., Tornaría, G. "An explicit waldspurger formula for hilbert modular forms" . Transactions of the American Mathematical Society, vol. 370, no. 9, 2018, pp. 6153-6168.
http://dx.doi.org/10.1090/tran/7112
---------- VANCOUVER ----------
Sirolli, N., Tornaría, G. An explicit waldspurger formula for hilbert modular forms. Trans. Am. Math. Soc. 2018;370(9):6153-6168.
http://dx.doi.org/10.1090/tran/7112