Continued fraction expansions in connection with the metric Mahler measure

DOI10.1007/S00605-016-0900-6zbMath1419.11119arXiv1508.01726OpenAlexW1949067559MaRDI QIDQ344226

Charles L. Samuels

Publication date: 22 November 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01726

zbMATH Keywords

Mahler measurecontinued fractionsheight functionsmetric Mahler measure

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Heights (11G50) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Factorization; primality (11A51)

Related Items (3)

Metric Mahler measures over number fields ⋮ Counting exceptional points for rational numbers associated to the Fibonacci sequence ⋮ A polynomial time test to detect numbers with many exceptional points

Cites Work

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• The parametrized family of metric Mahler measures
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• Factorization of certain cyclotomic functions
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• An effective lower bound for the height of algebraic numbers
• On the product of the conjugates outside the unit circle of an algebraic number
• Optimal factorizations of rational numbers using factorization trees
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer
• On the metric Mahler measure

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