The Infimum in the Metric Mahler Measure

DOI10.4153/CMB-2011-028-xzbMath1295.11116arXiv1408.4165OpenAlexW2963782869MaRDI QIDQ3103588

Charles L. Samuels

Publication date: 7 December 2011

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4165

zbMATH Keywords

Mahler measureWeil heightmetric Mahler measureLehmer's problem

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (7)

The \(t\)-metric Mahler measures of surds and rational numbers ⋮ Metric Mahler measures over number fields ⋮ Counting exceptional points for rational numbers associated to the Fibonacci sequence ⋮ Norms extremal with respect to the Mahler measure ⋮ The parametrized family of metric Mahler measures ⋮ Metric heights on an abelian group ⋮ A polynomial time test to detect numbers with many exceptional points

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