Mahler measures in a cubic field

DOI10.1007/s10587-006-0069-6zbMath1164.11068OpenAlexW1986818051MaRDI QIDQ3599921

Arturas Dubickas

Publication date: 9 February 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/31080

zbMATH Keywords

Mahler measurePisot numberscubic extension

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (2)

Mahler measures of Pisot and Salem type numbers ⋮ Salem numbers as Mahler measures of nonreciprocal units

Cites Work

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• \(\varepsilon\)-Pisot numbers in any real algebraic number field are relatively dense.
• Factorization of certain cyclotomic functions
• On numbers which are Mahler measures
• Mahler measures generate the largest possible groups
• Mahler Measures Close to an Integer
• Reciprocal Algebraic Integers Whose Mahler Measures are Non-Reciprocal
• Perron units which are not Mahler measures
• Topological entropy and equivalence of dynamical systems
• On values of the Mahler measure in a quadratic field (solution of a problem of Dixon and Dubickas)
• The values of Mahler measures

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