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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Detalles Bibliográficos
Autor principal: Sirolli, N.
Formato: JOUR
Materias:
11F37
Hilbert modular forms
Shimura map
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022314X_v145_n_p79_Sirolli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0022314X_v145_n_p79_Sirolli
record_format dspace
spelling todo:paper_0022314X_v145_n_p79_Sirolli2023-10-03T14:31:06Z Preimages for the Shimura map on Hilbert modular forms Sirolli, N. 11F37 Hilbert modular forms Shimura map 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. Fil:Sirolli, N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022314X_v145_n_p79_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 11F37
Hilbert modular forms
Shimura map
spellingShingle 11F37
Hilbert modular forms
Shimura map
Sirolli, N.
Preimages for the Shimura map on Hilbert modular forms
topic_facet 11F37
Hilbert modular forms
Shimura map
description 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.
format JOUR
author Sirolli, N.
author_facet Sirolli, N.
author_sort Sirolli, N.
title Preimages for the Shimura map on Hilbert modular forms
title_short Preimages for the Shimura map on Hilbert modular forms
title_full Preimages for the Shimura map on Hilbert modular forms
title_fullStr Preimages for the Shimura map on Hilbert modular forms
title_full_unstemmed Preimages for the Shimura map on Hilbert modular forms
title_sort preimages for the shimura map on hilbert modular forms
url http://hdl.handle.net/20.500.12110/paper_0022314X_v145_n_p79_Sirolli
work_keys_str_mv AT sirollin preimagesfortheshimuramaponhilbertmodularforms
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