Conjugate algebraic integers in real point sets

DOI10.1007/BF01109909zbMath0126.02902MaRDI QIDQ2394063

Raphael M. Robinson

Publication date: 1964

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170278

zbMATH Keywords

linear algebra, polynomials, forms

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The Polynomial Inverse Image Method ⋮ A density result for real hyperelliptic curves ⋮ Chebyshev polynomials on a system of curves ⋮ Approximation of \(\operatorname{sgn} (x)\) on two symmetric intervals by rational functions with fixed poles ⋮ Estimates for derivatives of rational functions and the fourth Zolotarev problem ⋮ Revisit of logarithmic capacity of line segments and double-degeneracy of BEM/BIEM ⋮ Finite Unions of Intervals, Part I ⋮ Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\) ⋮ The Betti map associated to a section of an abelian scheme ⋮ The norm of minimal polynomials on several intervals ⋮ APPROXIMATING GREEN'S FUNCTIONS ON ℙ¹ POSITIVE CHARACTERISTIC ⋮ Christoffel functions for weights with jumps ⋮ On the distribution of certain algebraic integers ⋮ Christoffel functions for weights with jumps ⋮ Conjugate algebraic integers on a circle ⋮ Distribution of algebraic numbers ⋮ Heights of polynomials over lemniscates ⋮ Capacity of a union of three intervals and theta functions of genus 2 ⋮ Small polynomials with integer coefficients

Cites Work

• On algebraic equations with integral coefficients whose roots belong to a given point set
• Intervals containing infinitely many sets of conjugate algebraic units

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