Perron units which are not Mahler measures

DOI10.1017/S0143385700003643zbMath0591.12003OpenAlexW2065334513MaRDI QIDQ3718796

David W. Boyd

Publication date: 1986

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700003643

zbMATH Keywords

entropyLehmer's conjectureMahler measurePerron numberstoral endomorphismSelmer polynomials

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (8)

The smallest Perron numbers ⋮ Mahler measures of Pisot and Salem type numbers ⋮ Wandering points for the Mahler measure ⋮ Salem numbers as Mahler measures of Gaussian Pisot numbers ⋮ Mahler measures in a cubic field ⋮ A family of non-sofic beta expansions ⋮ Salem numbers as Mahler measures of nonreciprocal units ⋮ On the behavior of Mahler's measure under iteration

Cites Work

• Factorization of certain cyclotomic functions
• On the irreducibility of certain trinomials
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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