Algebraic integers whose conjugates all lie in an ellipse

DOI10.1090/S0025-5718-05-01735-7zbMath1075.11063OpenAlexW2072904565MaRDI QIDQ5315430

Georges Rhin, Valerie Flammang

Publication date: 8 September 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-05-01735-7

zbMATH Keywords

ellipsealgebraic numbersinteger transfinite diameter

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (3)

Computing totally positive algebraic integers of small trace ⋮ Approximations of the Riley slice ⋮ Integer transfinite diameter and polynomials with small Mahler measure

Cites Work

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• Computational excursions in analysis and number theory
• The integer transfinite diameter of intervals and totally real algebraic integers
• The Mean Values of Totally Real Algebraic Integers
• Reciprocal Polynomials Having Small Measure
• Polynomials with small Mahler measure
• Reciprocal polynomials having small measure. II
• On the linear independence measure of logarithms of rational numbers
• The integer Chebyshev problem
• Integer transfinite diameter and polynomials with small Mahler measure

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