Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros

DOI10.2478/s11533-013-0209-9zbMath1272.11113OpenAlexW2054591065MaRDI QIDQ352739

James McKee, Christopher J. Smyth

Publication date: 5 July 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://www.pure.ed.ac.uk/ws/files/532370/McKeeSmyth2011_09_21.pdf

zbMATH Keywords

cyclotomic polynomialsinterlacingdisc-bionicPisot polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items

Addendum to: Unimodularity of zeros of self-inversive polynomials ⋮ Salem numbers of trace -2, and a conjecture of Estes and Guralnick ⋮ Cyclic polytope of the simplest cubic fields ⋮ Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions. ⋮ Some comments on Garsia numbers ⋮ On Salem numbers, expansive polynomials and Stieltjes continued fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Small Salem numbers
• Unimodularity of zeros of self-inversive polynomials
• Algebraic integers whose conjugates lie in the unit circle
• Salem Numbers and Pisot Numbers via Interlacing
• Arithmetic Properties of Bernoulli Convolutions
• Factorial ratios, hypergeometric series, and a family of step functions
• Pisot and Salem Numbers in Intervals of the Real Line
• THERE ARE SALEM NUMBERS OF EVERY TRACE
• Some comments on Garsia numbers
• Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs