Computing central values of twisted l-series: The case of composite levels

We describe a general method to compute weight- 3 2 modular forms “associated” with a given weight-2 modular form f of level N, and relate its Fourier coefficients to central values of quadratic twists (real and imaginary) of L(f, s). We will focus on examples for levels N = 27, N = 15, and N = 75....

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Detalles Bibliográficos
Autores principales: Pacetti, A., Tornaría, G.
Formato: JOUR
Materias:
L-series
Quadratic twists
Shimura correspondence
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10586458_v17_n4_p459_Pacetti
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10586458_v17_n4_p459_Pacetti
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spelling todo:paper_10586458_v17_n4_p459_Pacetti2023-10-03T16:00:59Z Computing central values of twisted l-series: The case of composite levels Pacetti, A. Tornaría, G. L-series Quadratic twists Shimura correspondence We describe a general method to compute weight- 3 2 modular forms “associated” with a given weight-2 modular form f of level N, and relate its Fourier coefficients to central values of quadratic twists (real and imaginary) of L(f, s). We will focus on examples for levels N = 27, N = 15, and N = 75. © A K Peters, Ltd. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10586458_v17_n4_p459_Pacetti
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic L-series
Quadratic twists
Shimura correspondence
spellingShingle L-series
Quadratic twists
Shimura correspondence
Pacetti, A.
Tornaría, G.
Computing central values of twisted l-series: The case of composite levels
topic_facet L-series
Quadratic twists
Shimura correspondence
description We describe a general method to compute weight- 3 2 modular forms “associated” with a given weight-2 modular form f of level N, and relate its Fourier coefficients to central values of quadratic twists (real and imaginary) of L(f, s). We will focus on examples for levels N = 27, N = 15, and N = 75. © A K Peters, Ltd.
format JOUR
author Pacetti, A.
Tornaría, G.
author_facet Pacetti, A.
Tornaría, G.
author_sort Pacetti, A.
title Computing central values of twisted l-series: The case of composite levels
title_short Computing central values of twisted l-series: The case of composite levels
title_full Computing central values of twisted l-series: The case of composite levels
title_fullStr Computing central values of twisted l-series: The case of composite levels
title_full_unstemmed Computing central values of twisted l-series: The case of composite levels
title_sort computing central values of twisted l-series: the case of composite levels
url http://hdl.handle.net/20.500.12110/paper_10586458_v17_n4_p459_Pacetti
work_keys_str_mv AT pacettia computingcentralvaluesoftwistedlseriesthecaseofcompositelevels
AT tornariag computingcentralvaluesoftwistedlseriesthecaseofcompositelevels
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