Cyclotomic factors of Coxeter polynomials

DOI10.1016/j.jnt.2008.09.021zbMath1183.11065OpenAlexW2002980091WikidataQ101293886 ScholiaQ101293886MaRDI QIDQ1017386

Eriko Hironaka, Curtis T. McMullen, Gross, Benedict H.

Publication date: 19 May 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: http://nrs.harvard.edu/urn-3:HUL.InstRepos:3446011

zbMATH Keywords

roots of unitySalem polynomialCoxeter polynomialcyclotomic polynomial

Mathematics Subject Classification ID

Polynomials in real and complex fields: factorization (12D05) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items

On the growth of a Coxeter group ⋮ SUBFACTORS OF INDEX LESS THAN 5, PART 4: VINES ⋮ Automorphisms of rational manifolds of positive entropy with Siegel disks ⋮ Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez) ⋮ The classification of subfactors of index at most 5 ⋮ Cyclotomic integers, fusion categories, and subfactors ⋮ Entropy of Real Rational Surface Automorphisms ⋮ Seventy years of Salem numbers ⋮ Salem numbers from a class of star-like trees

Cites Work

• Salem-Boyd sequences and Hopf plumbing
• Sur les valeurs propres de la transformation de Coxeter
• Coxeter groups, Salem numbers and the Hilbert metric.
• Dynamics of rational surface automorphisms: linear fractional recurrences
• The largest eigenvalue of a graph: A survey
• On linear relations between roots of unity
• Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs
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