The values of Mahler measures

DOI10.1112/S0025579300015564zbMath1107.11044OpenAlexW2102757363MaRDI QIDQ5479481

John D. Dixon, Arturas Dubickas

Publication date: 10 July 2006

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015564

zbMATH Keywords

Mahler measurePerron number

Mathematics Subject Classification ID

Galois theory (11R32) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (6)

Mahler measures of Pisot and Salem type numbers ⋮ Wandering points for the Mahler measure ⋮ Quartic Salem numbers which are Mahler measures of non-reciprocal 2-Pisot numbers ⋮ Mahler measures in a cubic field ⋮ Salem numbers as Mahler measures of nonreciprocal units ⋮ On the behavior of Mahler's measure under iteration

Cites Work

• Unnamed Item
• Additive and multiplicative relations connecting conjugate algebraic numbers
• Factorization of certain cyclotomic functions
• Algebraic integers whose conjugates lie in the unit circle
• ON THE REMAK HEIGHT, THE MAHLER MEASURE AND CONJUGATE SETS OF ALGEBRAIC NUMBERS LYING ON TWO CIRCLES
• Mahler Measures Close to an Integer
• On Some Inequalities for Polynomials in Several Variables
• Reciprocal Algebraic Integers Whose Mahler Measures are Non-Reciprocal
• Reciprocal Polynomials Having Small Measure
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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