Small discs containing conjugate algebraic integers

DOI10.5186/aasfm.2020.4524zbMath1439.11274OpenAlexW3001807223MaRDI QIDQ5107652

Arturas Dubickas

Publication date: 28 April 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2020.4524

zbMATH Keywords

Rouché's theoremtransfinite diameterspecial algebraic integersconjugate algebraic integersdiameter of algebraic integerdisc with real center

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• The totally real algebraic integers with diameter less than 4
• On algebraic equations with integral coefficients whose roots belong to a given point set
• Lower bounds for discriminants of number fields. II
• Approximate formulas for some functions of prime numbers
• On the span of polynomials with integer coefficients
• Diameters of complete sets of conjugate algebraic integers of small degree
• Weighted diameters of complete sets of conjugate algebraic integers
• On intervals containing full sets of conjugates of algebraic integers
• Conjugate algebraic numbers on circles
• Conjugate Algebraic Integers in an Interval
• Totally real algebraic integers in small intervals

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