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, Nicolás
Publicado: 2014
Materias:
11F37
Hilbert modular forms
Shimura map
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0022314X_v145_n_p79_Sirolli
record_format dspace
spelling paper:paper_0022314X_v145_n_p79_Sirolli2023-06-08T14:49:18Z Preimages for the Shimura map on Hilbert modular forms Sirolli, Nicolás 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. 2014 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
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, Nicolás
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.
author Sirolli, Nicolás
author_facet Sirolli, Nicolás
author_sort Sirolli, Nicolás
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
publishDate 2014
url 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
work_keys_str_mv AT sirollinicolas preimagesfortheshimuramaponhilbertmodularforms
_version_ 1768544070624346112

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