Salem numbers defined by Coxeter transformation

DOI10.1016/j.laa.2009.07.037zbMath1281.11093OpenAlexW2008591119MaRDI QIDQ1044592

Piroska Lakatos

Publication date: 18 December 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/13818/1/1252082.pdf

zbMATH Keywords

Salem numberCoxeter polynomialChebyshev transformsemi-reciprocal polynomials

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) 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) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (3)

A classification of all 1-Salem graphs ⋮ Seventy years of Salem numbers ⋮ Salem numbers from a class of star-like trees

Cites Work

• Some remarks on multivariate Chebyshev polynomials
• Growth functions of surface groups
• Small Salem numbers
• Sur les valeurs propres de la transformation de Coxeter
• The spectral radius of the Coxeter transformations for a generalized Cartan matrix
• Methods to determine Coxeter polynomials
• On the Coxeter polynomials of wild stars
• Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Salem numbers defined by Coxeter transformation