The arithmetic and geometry of Salem numbers

DOI10.1090/S0273-0979-01-00902-8zbMath0999.11064OpenAlexW1983967173WikidataQ102396947 ScholiaQ102396947MaRDI QIDQ2718943

Eriko Hironaka, Eknath P. Ghate

Publication date: 14 May 2001

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-01-00902-8

zbMATH Keywords

hyperbolic groupsMahler measureAlexander polynomialL-functionarithmetic manifoldsSalem number

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (21)

Arithmetic groups and the Lehmer conjecture ⋮ ORBIT PARAMETRIZATIONS FOR K3 SURFACES ⋮ On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number ⋮ Hoste's conjecture and roots of link polynomials ⋮ On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials ⋮ Unnamed Item ⋮ Hyperbolic manifolds with a large number of systoles ⋮ Systole on locally symmetric spaces ⋮ The entropy efficiency of point-push mapping classes on the punctured disk ⋮ The growth function of Coxeter dominoes and 2-Salem numbers. ⋮ Some properties of classes of real self-reciprocal polynomials ⋮ Functor of points and height functions for noncommutative Arakelov geometry ⋮ An areal analog of Mahler's measure ⋮ Salem numbers and arithmetic hyperbolic groups ⋮ Coefficients and non-triviality of the Jones polynomial ⋮ Constructions of Pisot and Salem numbers with flat palindromes ⋮ Heights of algebraic numbers modulo multiplicative group actions ⋮ AN L²-ALEXANDER INVARIANT FOR KNOTS ⋮ An experimental investigation of the normality of irrational algebraic numbers ⋮ Seventy years of Salem numbers ⋮ Universal systole bounds for arithmetic locally symmetric spaces

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