Tuples of polynomials over finite fields with pairwise coprimality conditions

Let q be a prime power. We estimate the number of tuples of degree bounded monic polynomials (Q1, . . . , Qv) ∈ (Fq[z])v that satisfy given pairwise coprimality conditions. We show how this generalises from monic polynomials in finite fields to Dedekind domains with a finite norm.

Detalhes bibliográficos
Autores: Arias de Reyna Martínez, Juan, Heyman, Randell
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/76629
Acesso em linha:https://hdl.handle.net/11441/76629
https://doi.org/10.1016/j.ffa.2018.05.006
Access Level:acceso abierto
Palavra-chave:Relatively prime
Coprime
Polynomials
Finite fields
Dedekind domains
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repository_id_str
spelling Tuples of polynomials over finite fields with pairwise coprimality conditionsArias de Reyna Martínez, JuanHeyman, RandellRelatively primeCoprimePolynomialsFinite fieldsDedekind domainsLet q be a prime power. We estimate the number of tuples of degree bounded monic polynomials (Q1, . . . , Qv) ∈ (Fq[z])v that satisfy given pairwise coprimality conditions. We show how this generalises from monic polynomials in finite fields to Dedekind domains with a finite norm.ElsevierAnálisis MatemáticoFQM104: Análisis Matematico2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/76629https://doi.org/10.1016/j.ffa.2018.05.006reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésFinite Fields and Their Applications, 53, 36-63.https://reader.elsevier.com/reader/sd/11BA5E0C3CDF26AEA571E8F91C5B7F17C4CD948E9EA36089CD3AE77EB92577917A199C6C6927E9FDC66ED925533C6A55info:eu-repo/semantics/openAccessoai:idus.us.es:11441/766292026-06-17T12:51:07Z
dc.title.none.fl_str_mv Tuples of polynomials over finite fields with pairwise coprimality conditions
title Tuples of polynomials over finite fields with pairwise coprimality conditions
spellingShingle Tuples of polynomials over finite fields with pairwise coprimality conditions
Arias de Reyna Martínez, Juan
Relatively prime
Coprime
Polynomials
Finite fields
Dedekind domains
title_short Tuples of polynomials over finite fields with pairwise coprimality conditions
title_full Tuples of polynomials over finite fields with pairwise coprimality conditions
title_fullStr Tuples of polynomials over finite fields with pairwise coprimality conditions
title_full_unstemmed Tuples of polynomials over finite fields with pairwise coprimality conditions
title_sort Tuples of polynomials over finite fields with pairwise coprimality conditions
dc.creator.none.fl_str_mv Arias de Reyna Martínez, Juan
Heyman, Randell
author Arias de Reyna Martínez, Juan
author_facet Arias de Reyna Martínez, Juan
Heyman, Randell
author_role author
author2 Heyman, Randell
author2_role author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM104: Análisis Matematico
dc.subject.none.fl_str_mv Relatively prime
Coprime
Polynomials
Finite fields
Dedekind domains
topic Relatively prime
Coprime
Polynomials
Finite fields
Dedekind domains
description Let q be a prime power. We estimate the number of tuples of degree bounded monic polynomials (Q1, . . . , Qv) ∈ (Fq[z])v that satisfy given pairwise coprimality conditions. We show how this generalises from monic polynomials in finite fields to Dedekind domains with a finite norm.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/76629
https://doi.org/10.1016/j.ffa.2018.05.006
url https://hdl.handle.net/11441/76629
https://doi.org/10.1016/j.ffa.2018.05.006
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Finite Fields and Their Applications, 53, 36-63.
https://reader.elsevier.com/reader/sd/11BA5E0C3CDF26AEA571E8F91C5B7F17C4CD948E9EA36089CD3AE77EB92577917A199C6C6927E9FDC66ED925533C6A55
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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