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dc.contributor.author
Cafure, Antonio Artemio  
dc.contributor.author
Cesaratto, Eda  
dc.date.available
2018-08-07T14:59:02Z  
dc.date.issued
2017-01  
dc.identifier.citation
Cafure, Antonio Artemio; Cesaratto, Eda; Irreducibility criteria for reciprocal polynomials and applications; Mathematical Association of America; The American Mathematical Monthly; 124; 1; 1-2017; 37-53  
dc.identifier.issn
0002-9890  
dc.identifier.uri
http://hdl.handle.net/11336/54414  
dc.description.abstract
We present criteria for determining irreducibility of reciprocal polynomials over the field of rational numbers. We also obtain some combinatorial results concerning the irreducibility of reciprocal polynomials. As a consequence of our approach, we are able to deal with other problems such as factorization properties of Chebyshev polynomials of the first and second kind and with the classical problems of computing minimal polynomials of algebraic values of trigonometric functions.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Mathematical Association of America  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Reciprocal Polynomials  
dc.subject
Irreducibility Over Q  
dc.subject
Chebyshev Polynomials  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Irreducibility criteria for reciprocal polynomials and applications  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-07-25T13:53:46Z  
dc.identifier.eissn
1930-0972  
dc.journal.volume
124  
dc.journal.number
1  
dc.journal.pagination
37-53  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Cafure, Antonio Artemio. Universidad de Buenos Aires. Ciclo Básico Común; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Cesaratto, Eda. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
The American Mathematical Monthly  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4169/amer.math.monthly.124.1.37  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.124.1.37  

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