Reciprocal polynomials with all zeros on the unit circle

DOI10.1007/s10474-011-0090-6zbMath1240.30029OpenAlexW2048520643MaRDI QIDQ653844

Do Yong Kwon

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0090-6

zbMATH Keywords

reciprocal polynomialcircular interlacing

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

Palindromic and perturbed polynomials: zeros location ⋮ Reciprocal polynomials with all but two zeros on the unit circle ⋮ Some properties of classes of real self-reciprocal polynomials ⋮ Every positive integer is the order of an ordinary abelian variety over \(\mathbb{F}_2\) ⋮ Irreducible polynomials with all but one zero close to the unit disk

Cites Work

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• Polynomials with all zeros on the unit circle
• Constructions of Pisot and Salem numbers with flat palindromes
• On the polynomials with all their zeros on the unit circle
• On the zeros of certain self-reciprocal polynomials
• THERE ARE SALEM NUMBERS OF EVERY TRACE
• Circular interlacing with reciprocal polynomials
• Self-inversive polynomials with all zeros on the unit circle

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