Flatness of conjugate reciprocal unimodular polynomials
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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=0^{n}ajz^{j} 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.