О способе равномерного упорядочения вещественных алгебраических чисел

DOI10.4213/spm62zbMath1437.11092arXiv1510.00536OpenAlexW2576499065MaRDI QIDQ5239692

Dmitry Zaporozhets, Friedrich Götze, Denis Koleda

Publication date: 22 October 2019

Published in: Sovremennye Problemy Matematiki (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00536

zbMATH Keywords

random polynomialintegral polynomialconjugate algebraic numberscorrelations between algebraic numbersdistribution of algebraic numbers

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Related Items (4)

Unnamed Item ⋮ On a way of ordering real algebraic numbers uniformly ⋮ Joint distribution of conjugate algebraic numbers: a random polynomial approach ⋮ Distribution of complex algebraic numbers

Cites Work

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• Counting algebraic integers of fixed degree and bounded height
• Correlation functions of real zeros of random polynomials
• Discrepancy of Farey sequences
• A generalization of Farey sequences: Some exploration via the computer
• Distribution of complex algebraic numbers
• Counting algebraic numbers with large height II
• On approximation of real numbers by real algebraic numbers
• The distribution of close conjugate algebraic numbers
• О способе равномерного упорядочения вещественных алгебраических чисел
• Diophantine Approximation and Hausdorff Dimension

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