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 ...

O presente trabalho tem como objetivo principal estudar o comportamento dos zeros de alguns tipos de polinômios auto-recíprocos gerados a partir de polinômios quaseortogonais de Chebyshev de ordens um e dois. Os zeros dos ...

The purpose of this paper is twofold. Firstly we investigate the distribution, simplicity and monotonicity of the zeros around the unit circle and real line of the real self-reciprocal polynomials Rn(λ)(z)=1+λ(z+z2+...+zn-1)+zn, ...

Seja K um campo que admite uma extensão de Galois cíclica de grau n≥2. O grupo simétrico Sn atua em Kn por permutação de coordenadas. Dado um subgrupo G de Sn e u∈Kn, seja VG (u) o espaço vetorial K estendido pela órbita ...

This paper deals with the classes S-3(omega, beta, b) of strong distribution functions defined on the interval [beta(2)/b, b], 0 < beta < b <= infinity, where 2 omega epsilon Z. The classification is such that the distribution ...

This paper deals with the classes S-3(omega, beta, b) of strong distribution functions defined on the interval [beta(2)/b, b], 0 < beta < b <= infinity, where 2 omega epsilon Z. The classification is such that the distribution ...

Given a nontrivial positive measure μ on the unit circle T, the associated Christoffel–Darboux kernels are Kn(z,w;μ)=∑k=0 nφk(w;μ)¯φk(z;μ), n≥0, where φk(⋅;μ) are the orthonormal polynomials with respect to the measure μ. ...