Artículo
Cafure, A.; Cesaratto, E. "Irreducibility criteria for reciprocal polynomials and applications" (2017) American Mathematical Monthly. 124(1):37-53
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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. © The Mathematical Association of America.
Registro:
| Documento: | Artículo |
| Título: | Irreducibility criteria for reciprocal polynomials and applications |
| Autor: | Cafure, A.; Cesaratto, E. |
| Filiación: | Instituto del Desarrollo Humano, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150, Los Polvorines, Buenos Aires 1613, Argentina Ciclo Básico Común, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón III, Buenos Aires, 1428, Argentina National Council of Science and Technology (CONICET), Argentina |
| Año: | 2017 |
| Volumen: | 124 |
| Número: | 1 |
| Página de inicio: | 37 |
| Página de fin: | 53 |
| DOI: | http://dx.doi.org/10.4169/amer.math.monthly.124.1.37 |
| Título revista: | American Mathematical Monthly |
| Título revista abreviado: | Am. Math. Mon. |
| ISSN: | 00029890 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029890_v124_n1_p37_Cafure |
Referencias:
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- Rayes, M., Trevisan, V., Wang, P., Factorization properties of Chebyshev polynomials (2005) Comput. Math. Appl., 50, pp. 1231-1240
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Citas:
---------- APA ----------
Cafure, A. & Cesaratto, E. (2017) . Irreducibility criteria for reciprocal polynomials and applications. American Mathematical Monthly, 124(1), 37-53.http://dx.doi.org/10.4169/amer.math.monthly.124.1.37
---------- CHICAGO ----------
Cafure, A., Cesaratto, E. "Irreducibility criteria for reciprocal polynomials and applications" . American Mathematical Monthly 124, no. 1 (2017) : 37-53.http://dx.doi.org/10.4169/amer.math.monthly.124.1.37
---------- MLA ----------
Cafure, A., Cesaratto, E. "Irreducibility criteria for reciprocal polynomials and applications" . American Mathematical Monthly, vol. 124, no. 1, 2017, pp. 37-53.http://dx.doi.org/10.4169/amer.math.monthly.124.1.37
---------- VANCOUVER ----------
Cafure, A., Cesaratto, E. Irreducibility criteria for reciprocal polynomials and applications. Am. Math. Mon. 2017;124(1):37-53.http://dx.doi.org/10.4169/amer.math.monthly.124.1.37
