Some remarks on the Lehmer conjecture

DOI10.1007/s00013-018-1165-1zbMath1444.16024OpenAlexW2792354032WikidataQ123248123 ScholiaQ123248123MaRDI QIDQ1650745

José Antonio de la Peña

Publication date: 13 July 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1165-1

zbMATH Keywords

Mahler measureCoxeter polynomialcyclotomic polynomialLehmer polynomial

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Elliptic curves (14H52) Heights (11G50) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Unnamed Item
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• Extended canonical algebras and Fuchsian singularities.
• Lectures on transcendental numbers. Edited and completed by B. Diviš and W. J. LeVeque
• The trace of the Coxeter matrix and Hochschild cohomology
• On the trace of the Coxeter polynomial of an algebra
• Factorization of certain cyclotomic functions
• A refinement of two theorems of Kronecker
• On a question of Lehmer and the number of irreducible factors of a polynomial
• An application of Jensen's formula to polynomials
• On wild hereditary algebras with small grwoth numbers
• Spectral analysis of finite dimensional algebras and singularities
• Polynomials with small Mahler measure
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer
• Matrix theory. Basic results and techniques

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