A new formula for Mahler's measure

DOI10.7169/facm/1753zbMath1442.11139OpenAlexW3022149520MaRDI QIDQ782784

Mounir Hajli

Publication date: 29 July 2020

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1588903259

zbMATH Keywords

heightMahler's measurearithmetic Hilbert functionsSzegö formula

Mathematics Subject Classification ID

Heights (11G50) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

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• On the normalized arithmetic Hilbert function
• A problem of Boyd concerning geometric means of polynomials
• Kronecker's theorem and Lehmer's problem for polynomials in several variables
• Mahler measures and logarithmic equidistribution
• On Some Inequalities for Polynomials in Several Variables
• Mahler measures and Fuglede--Kadison determinants
• Speculations Concerning the Range of Mahler's Measure
• Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables
• HAUTEUR NORMALISÉE DES VARIÉTÉS TORIQUES PROJECTIVES

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