Artículos de revistas
Irreducibility criteria for reciprocal polynomials and applications
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
Cafure, Antonio Artemio
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.