An explicit waldspurger formula for hilbert modular forms

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 arbit...

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Autores principales: Sirolli, N., Tornaría, G.
Formato: JOUR
Materias:
Hilbert modular forms
Shimura correspondence
Waldspurger formula
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029947_v370_n9_p6153_Sirolli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00029947_v370_n9_p6153_Sirolli
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spelling todo:paper_00029947_v370_n9_p6153_Sirolli2023-10-03T13:55:24Z An explicit waldspurger formula for hilbert modular forms Sirolli, N. Tornaría, G. Hilbert modular forms Shimura correspondence Waldspurger formula 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029947_v370_n9_p6153_Sirolli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hilbert modular forms
Shimura correspondence
Waldspurger formula
spellingShingle Hilbert modular forms
Shimura correspondence
Waldspurger formula
Sirolli, N.
Tornaría, G.
An explicit waldspurger formula for hilbert modular forms
topic_facet Hilbert modular forms
Shimura correspondence
Waldspurger formula
description 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.
format JOUR
author Sirolli, N.
Tornaría, G.
author_facet Sirolli, N.
Tornaría, G.
author_sort Sirolli, N.
title An explicit waldspurger formula for hilbert modular forms
title_short An explicit waldspurger formula for hilbert modular forms
title_full An explicit waldspurger formula for hilbert modular forms
title_fullStr An explicit waldspurger formula for hilbert modular forms
title_full_unstemmed An explicit waldspurger formula for hilbert modular forms
title_sort explicit waldspurger formula for hilbert modular forms
url http://hdl.handle.net/20.500.12110/paper_00029947_v370_n9_p6153_Sirolli
work_keys_str_mv AT sirollin anexplicitwaldspurgerformulaforhilbertmodularforms
AT tornariag anexplicitwaldspurgerformulaforhilbertmodularforms
AT sirollin explicitwaldspurgerformulaforhilbertmodularforms
AT tornariag explicitwaldspurgerformulaforhilbertmodularforms
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