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-j=j, ajC for each j=0, 1, . . .. , n. Let D be the unit circle of the complex plane. We prove that there is an absolute constant > 0 such that, for every conjugate reciprocal unimodular polynomial of degree m. We also prove that there is an absolute constant > 0 such that, and, for every conjugate reciprocal unimodular polynomial of degree m, where.

published proceedings

  • JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

author list (cited authors)

  • Erdelyi, T.

citation count

  • 1

complete list of authors

  • Erdélyi, Tamás

publication date

  • December 2015