On algebraic points of fixed degree and bounded height

MaRDI QIDQ6642351

Denis Koleda

Publication date: 22 November 2024

Published in: Doklady Natsional'noĭ Akademii Nauk Belarusi (Search for Journal in Brave)

zbMATH Keywords

Diophantine approximation\(n\)-point correlation functionalgebraic numbersalgebraic pointsdistribution of algebraic numbers

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Heights (11G50) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Counting algebraic integers of fixed degree and bounded height
• Joint distribution of conjugate algebraic numbers: a random polynomial approach
• Slicing the stars: counting algebraic numbers, integers, and units by degree and height
• The distribution of values of Mahler's measure
• Counting algebraic numbers with large height II
• Counting Algebraic Numbers with Large Height I
• Counting points of fixed degree and bounded height
• ALGEBRAIC NUMBERS WITH BOUNDED DEGREE AND WEIL HEIGHT
• Local Universality of Zeroes of Random Polynomials
• Lower bounds for the number of vectors with algebraic coordinates near smooth surfaces

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