Mahler measure and volumes in hyperbolic space

DOI10.1007/s10711-004-8123-8zbMath1130.11036arXivmath/0401010OpenAlexW3103803048MaRDI QIDQ1768277

Matilde N. Lalín

Publication date: 15 March 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401010

zbMATH Keywords

Mahler measurehyperbolic volumeBloch-Wigner dilogarithmideal polyhedron

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Integration of real functions of several variables: length, area, volume (26B15) Length, area and volume in real or complex geometry (51M25) Polylogarithms and relations with (K)-theory (11G55)

Related Items (4)

-adic Mahler measure and -covers of links ⋮ Mahler measure and the Vol‐Det Conjecture ⋮ The Mahler measure of parametrizable polynomials ⋮ Toric quiver asymptotics and Mahler measure: \( \mathcal{N}=2 \) BPS states

Cites Work

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• Volumes of hyperbolic three-manifolds
• Hyperbolic manifolds and special values of Dedekind zeta-functions
• Plane curves associated to character varieties of 3-manifolds
• A formula for the Mahler measure of \(axy+bx+cy+d\)
• Representation theory and the \(A\)-polynomial of a knot
• Mahler’s Measure and the Dilogarithm (I)
• On Measures of Polynomials in Several Variables: Corrigendum
• Hyperbolic geometry: The first 150 years
• REMARKS ON THE A-POLYNOMIAL OF A KNOT

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