Wandering points for the Mahler measure

DOI10.4064/aa210930-6-5zbMath1506.11138arXiv2109.11184OpenAlexW3199183576MaRDI QIDQ5097212

Paul Fili, Mingming Zhang, Lukas Pottmeyer

Publication date: 22 August 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11184

zbMATH Keywords

dynamical systemsMahler measureLehmer's problem

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the behavior of Mahler's measure under iteration
• Factorization of certain cyclotomic functions
• On the degree of a linear form in conjugates of an algebraic number
• On numbers which are Mahler measures
• On the frequency of height values
• A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
• Algebraic integers whose conjugates lie in the unit circle
• Salem numbers as Mahler measures of nonreciprocal units
• Entropies and factorizations of topological Markov shifts
• Mahler Measures Close to an Integer
• The entropies of topological Markov shifts and a related class of algebraic integers
• Perron units which are not Mahler measures
• Topological entropy and equivalence of dynamical systems
• On Transitive Permutation Groups
• On values of the Mahler measure in a quadratic field (solution of a problem of Dixon and Dubickas)
• The values of Mahler measures

This page was built for publication: Wandering points for the Mahler measure