Comments on Salem polynomials

DOI10.1007/s00013-021-01598-wzbMath1480.11135OpenAlexW3159474180MaRDI QIDQ2040289

Toufik Zaimi

Publication date: 13 July 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01598-w

zbMATH Keywords

Salem numbersPisot polynomialsSalem polynomialsreciprocal polynomialstotally real Pisot numbers

Mathematics Subject Classification ID

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

Related Items (1)

On the zeros of the derivatives of certain polynomials

Uses Software

• PARI/GP

Cites Work

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• On the number of roots of self-inversive polynomials on the complex unit circle
• Constructions of Pisot and Salem numbers with flat palindromes
• Small Salem numbers
• Algorithms for localizing roots of a polynomial and the Pisot Vijayaraghavan numbers
• A characterization of two related classes of Salem numbers
• On totally real Pisot numbers
• A necessary and sufficient condition for an algebraic integer to be a Salem number
• Conjugate algebraic integers on a circle
• Une caractérisation de certaines classes d'entiers algébriques généralisant les nombres de Salem
• A remark on an algorithm for testing Pisot polynomials

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