Algebraic numbers close to 1 and variants of Mahler's measure

DOI10.1006/jnth.1996.0114zbMath0866.11060OpenAlexW2028954294MaRDI QIDQ1924213

Francesco Amoroso

Publication date: 20 July 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0114

zbMATH Keywords

Riemann hypothesisalgebraic numberscyclotomic polynomialalgebraic unitbounding the Mahler measure

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04) Approximation to algebraic numbers (11J68)

Related Items (9)

Lower bounds for Mahler-type measures of polynomials ⋮ On the distribution of the roots of polynomials ⋮ On the distance of an algebraic point from the origin in Abelian varieties ⋮ Large integer polynomials in several variables ⋮ On the distribution of roots of polynomials in sectors. I ⋮ Perturbing polynomials with all their roots on the unit circle ⋮ Distribution of Small Values of Bohr Almost Periodic Functions with Bounded Spectrum ⋮ Polynomials with a root close to an integer ⋮ On algebraic numbers close to 1

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