Flatness of conjugate reciprocal unimodular polynomials Academic Article uri icon

abstract

  • © 2015 Elsevier Inc. A polynomial is called unimodular if each of its coefficients is a complex number of modulus 1. A polynomial P of the form P(z)=∑j=0najzj is called conjugate reciprocal if an-jj, aj∈C for each j=0, 1, . . .. , n. Let ∂D be the unit circle of the complex plane. We prove that there is an absolute constant ε > 0 such that, for every conjugate reciprocal unimodular polynomial of degree m. We also prove that there is an absolute constant ε > 0 such that, and, for every conjugate reciprocal unimodular polynomial of degree m, where.

author list (cited authors)

  • Erdélyi, T.

citation count

  • 1

publication date

  • December 2015