Evaluation of Kloosterman and Salié sums for arbitrary number fields

Autores
Pacharoni, Maria Ines
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let K be a number field with ring of integers O. Let I be an ideal in O and let φ, ψ be characters of the abelian group O/I. We shall denote by (O/I)b the character group of O/I. We shall consider the following exponential sums: the generalized Kloos- terman sums and the generalized Salie sums. The main purpose of this paper is to give methods for the evaluation of these sums explicitly.
Fil: Pacharoni, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
Kloosterman sums
Salié sums
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/129971
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Evaluation of Kloosterman and Salié sums for arbitrary number fieldsPacharoni, Maria InesKloosterman sumsSalié sumshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let K be a number field with ring of integers O. Let I be an ideal in O and let φ, ψ be characters of the abelian group O/I. We shall denote by (O/I)b the character group of O/I. We shall consider the following exponential sums: the generalized Kloos- terman sums and the generalized Salie sums. The main purpose of this paper is to give methods for the evaluation of these sums explicitly.Fil: Pacharoni, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaTaylor & Francis2000-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/129971Pacharoni, Maria Ines; Evaluation of Kloosterman and Salié sums for arbitrary number fields; Taylor & Francis; Communications In Algebra; 28; 8; 8-2000; 3853-38640092-78721532-4125CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/00927870008827062info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:46:27Zoai:ri.conicet.gov.ar:11336/129971instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:46:27.572CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Evaluation of Kloosterman and Salié sums for arbitrary number fields
title Evaluation of Kloosterman and Salié sums for arbitrary number fields
spellingShingle Evaluation of Kloosterman and Salié sums for arbitrary number fields
Pacharoni, Maria Ines
Kloosterman sums
Salié sums
title_short Evaluation of Kloosterman and Salié sums for arbitrary number fields
title_full Evaluation of Kloosterman and Salié sums for arbitrary number fields
title_fullStr Evaluation of Kloosterman and Salié sums for arbitrary number fields
title_full_unstemmed Evaluation of Kloosterman and Salié sums for arbitrary number fields
title_sort Evaluation of Kloosterman and Salié sums for arbitrary number fields
dc.creator.none.fl_str_mv Pacharoni, Maria Ines
author Pacharoni, Maria Ines
author_facet Pacharoni, Maria Ines
author_role author
dc.subject.none.fl_str_mv Kloosterman sums
Salié sums
topic Kloosterman sums
Salié sums
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let K be a number field with ring of integers O. Let I be an ideal in O and let φ, ψ be characters of the abelian group O/I. We shall denote by (O/I)b the character group of O/I. We shall consider the following exponential sums: the generalized Kloos- terman sums and the generalized Salie sums. The main purpose of this paper is to give methods for the evaluation of these sums explicitly.
Fil: Pacharoni, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description Let K be a number field with ring of integers O. Let I be an ideal in O and let φ, ψ be characters of the abelian group O/I. We shall denote by (O/I)b the character group of O/I. We shall consider the following exponential sums: the generalized Kloos- terman sums and the generalized Salie sums. The main purpose of this paper is to give methods for the evaluation of these sums explicitly.
publishDate 2000
dc.date.none.fl_str_mv 2000-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/129971
Pacharoni, Maria Ines; Evaluation of Kloosterman and Salié sums for arbitrary number fields; Taylor & Francis; Communications In Algebra; 28; 8; 8-2000; 3853-3864
0092-7872
1532-4125
CONICET Digital
CONICET
url http://hdl.handle.net/11336/129971
identifier_str_mv Pacharoni, Maria Ines; Evaluation of Kloosterman and Salié sums for arbitrary number fields; Taylor & Francis; Communications In Algebra; 28; 8; 8-2000; 3853-3864
0092-7872
1532-4125
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/00927870008827062
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1848597888812187648
score 12.976206

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